Benford Online Bibliography

View Alphabetical

Abrantes-Metz, RM and Bajari, P (2009). Screens for Conspiracies and Their Multiple Applications. Antitrust 24(1), 66-71. ISSN:2162-996X. View Complete Reference Online information Works that this work references Works that reference this work
Abrantes-Metz, RM, Kraten, M, Metz, AD and Seow, G (2012). Libor Manipulation?. Journal of Banking & Finance 36(1), 136-150. ISSN:0378-4266. DOI:10.1016/j.jbankfin.2011.06.014. View Complete Reference Online information Works that this work references Works that reference this work
Abrantes-Metz, RM, Villas-Boas, SB and Judge, G (2011). Tracking the Libor rate. Applied Economics Letters 18(10), 893-899. ISSN:1466-4291. DOI:10.1080/13504851.2010.515197. View Complete Reference Online information Works that this work references Works that reference this work
Abumrad, J and Krulwich, R (2009). From Benford to Erdős. WNYC Radiolab, 9 October. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
ACL Services Ltd. (2012). About Benford analysis. Software documentation website (last retrieved 24Jan2014). View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Adhikari, AK (1969). Some Results on Distribution of Most Significant Digit. Sankhya-The Indian Journal of Statistics Series B, 31 (Dec), 413-420. ISSN:0581-5738. View Complete Reference Online information Works that this work references Works that reference this work
Adhikari, AK and Sarkar, BP (1968). Distribution of most significant digit in certain functions whose arguments are random variables. Sankhya-The Indian Journal of Statistics Series B, no. 30, 47-58. ISSN:0581-5738. View Complete Reference Online information Works that this work references Works that reference this work
Aggarwal, R and Lucey, BM (2007). Psychological barriers in gold prices?. Review of Financial Economics 16, 217–230. View Complete Reference Online information Works that this work references Works that reference this work
Al-Marzouki, S, Evans, S, Marshall, T and Roberts and I (2005). Are these data real? Statistical methods for the detection of data fabrication in clinical trials. Brit. Med. J 331, 267-270. View Complete Reference Online information Works that this work references Works that reference this work
Albers, DJ (1995). Professor of Magic Mathematics. Math Horizons (Feb), 11-15. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Albrecht, CC (2008). Fraud and forensic accounting in a digital environment. White Paper for The Institute for Fraud Prevention, Brigham Young University. View Complete Reference Online information Works that this work references Works that reference this work
Albrecht, CC, Albrecht, WS and Dunn, JG (2000). Conducting a Pro-Active Fraud Audit: A Case Study. The Journal of Forensic Accounting II: 203-218. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Albrecht, J (2000). Die Eins vom Planet Zob. Die Zeit, 28 September. View Complete Reference Online information Works that this work references Works that reference this work
Albrecht, WS and Albrecht, CC (2002). Root out financial deception. Journal of Accountancy 193(4), 30-34. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Aldous, D and Phan, T (2009). When Can One Test an Explanation? Compare and Contrast Benford's Law and the Fuzzy CLT. Class project report, Statistics Department, UC Berkeley. View Complete Reference Online information Works that this work references Works that reference this work
Aldous, D and Phan, T (2010). When Can One Test an Explanation? Compare and Contrast Benford's Law and the Fuzzy CLT. The American Statistician 64(3), 221–227. ISSN:0003-1305. View Complete Reference Online information Works that this work references Works that reference this work
Alexander, J (2009). Remarks on the use of Benford's law. Social Science Research Network(November, 13 2009). Available at SSRN: http://ssrn.com/abstract=1505147 or http://dx.doi.org/10.2139/ssrn.1505147. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Allaart, PC (1997). An invariant-sum characterization of Benford's law. Journal of Applied Probability 34, 288-291. View Complete Reference Online information Works that this work references Works that reference this work
Altamirano, C and Robledo, A (2009). Generalized Thermodynamics underlying the laws of Zipf and Benford. pp 2232-2237 in: J. Zhou (ed.), Complex Sciences 2009, Part II, LNICST 5. ISSN:1867-8211. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Alves, AD, Yanasse, HH and Soma, NY (2014). Benford's Law and articles of scientific journals: comparison of JCR® and Scopus data. Scientometrics 98, pp. 173-184. ISSN:0138-9130. DOI:10.1007/s11192-013-1030-8. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Amershi, AH and Feroz, EH (2000). The occurrence of Fibanocci numbers in time series of financial accounting ratios. Anomalies or indicators of firm survival, bankruptcy and fraud? An exploratory study. Managerial Finance 26(11), 5-20. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Anderson, TC, Rolen, L and Stoehr, R (2011). Benford's Law for Coefficients of Modular Forms and Partition Functions. Proceedings of the American Mathematical Society, Vol. 139, No. 5, May 2011, pp 1533-1541. ISSN:0002-9939. View Complete Reference Online information Works that this work references Works that reference this work
Andriotis, P, Oikonomou, G and Tryfonas, T (2013). JPEG steganography detection with Benford's law. Digital Investigation 9(3-4), pp. 246-57. DOI:10.1016/j.diin.2013.01.005. View Complete Reference Online information Works that this work references Works that reference this work
Anonymous (2012). The scam busters. The Economist, Dec 15th. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Anonymous (2014). Benford's Law. Last accessed from http://www.mathpages.com/home/kmath302/kmath302.htm 24 April 2014. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Aono, JY and Guan, L (2008). The Impact of Sarbanes-Oxley Act on Cosmetic Earnings Management. Research in Accounting Regulation, Vol. 20, pp. 205–215. ISSN:1052-0457. DOI:10.1016/S1052-0457(07)00212-3. View Complete Reference Online information Works that this work references Works that reference this work
Arita, M (2005). Scale-freeness and biological networks. Journal of Biochemistry, 138 (1): 1-4. ISSN:0021-924X. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Armstrong, JS (2001). Extrapolation for time-series and cross-sectional data. In: Principles of Forecasting: a Handbook for Researchers and Practitioners. Kluwer Publishers. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Arshadi, L and Jahangir, AH (2014). Benford's law behavior of Internet traffic. Journal of Network and Computer Applications, Volume 40, April 2014, pp. 194–205. ISSN:1084-8045. DOI:http://dx.doi.org/10.1016/j.jnca.2013.09.007. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Ashcraft, MH (1992). Cognitive arithmetic: A review of data and theory. Cognition 44 (Aug), 75-106. View Complete Reference Online information Works that this work references Works that reference this work
Ashcraft, MH and Christy, KS (1995). The Frequency of Arithmetic Facts in Elementary Texts: Addition and Multiplication in Grades 1-6. Journal for Research in Mathematics Education 26, 396-421. View Complete Reference Online information Works that this work references Works that reference this work
Auffhammer, M and Carson, RT (2006). Offsetting Reductions From Kyoto And Then Some: Forecasts of China’s CO2 Emissions Using Province Level Data. Draft 7 Sep 2006. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Auffhammer, M and Carson, RT (2008). Forecasting the path of China's CO2 emissions using province-level information. J. Environ. Econ. Manage. 55(3), 229-247. ISSN:0095-0696. View Complete Reference Online information Works that this work references Works that reference this work
Avery, N and Xin, Z (2013). China Export Surge Spurs Data Skepticism at Goldman, UBS. Bloomberg News, January 13, 2013. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Bach, A (2006). Wenn sich Zahlen an Gesetze halten .../ Auf Verbrecherjagd mit Benford. Quarks & Co, WDR science broadcast, 17 October 2006. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Baer, MB (2006). Rényi to Rényi - Source Coding under Siege. (accepted to ISIT 2006). View Complete Reference Online information Works that this work references No Bibliography works reference this work
Baer, MB (2006). Prefix coding under Siege. (submitted to IEEE Trans. Inform. Theory). View Complete Reference Online information Works that this work references No Bibliography works reference this work
Baer, MB (2007). Reserved-Length Prefix Coding. (submitted to ISIT 2008). View Complete Reference Online information Works that this work references No Bibliography works reference this work
Baer, MB (2007). Bounds on Generalized Huffman Codes. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Bailly, N (2006). Prominence trend in maximum lengths recorded for fishes: a preliminary analysis. pp 12-17 in: Palomares, MLD, Stergiou, KI, and Pauly, D (eds.), Fishes in databases and ecosystems. Proceedings of the 2006 FishBase Symposium. Fisheries Centre Research Reports, 2006, Vol. 14, No. 4. ISSN:1198-6727. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Baiocchi, G (2004). Using Perl for Statistics: Data Processing and Statistical Computing. Journal of Statistical Software, 2004 , Vol. 11, Issue 1. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Baird, JC (1975). Psychophysical study of numbers: V. Preferred State Theory of Matching Functions. Psychological Research 38 (Jun), 189-207. View Complete Reference Online information Works that this work references Works that reference this work
Baird, JC (1975). Psychophysical study of numbers: IV. Generalized Preferred State Theory. Psychological Research 38 (Jun), 175-187. View Complete Reference Online information Works that this work references Works that reference this work
Baird, JC and Noma, E (1975). Psychophysical study of numbers: I. Generation of numerical responses. Psychological Research 37 (Dec), 281-297. View Complete Reference Online information Works that this work references Works that reference this work
Balanzario, EP (2012). Benford’s law for mixtures. Preprint. View Complete Reference No online information available Works that this work references No Bibliography works reference this work
Balanzario, EP and Sánchez-Ortiz, J (2010). Sufficient conditions for Benford’s law. Statistics & Probability Letters 80(23-24), 1713-1719. View Complete Reference Online information Works that this work references Works that reference this work
Baláž, V, Nagasaka, K and Strauch, O (2010). Benford's law and distribution functions of sequences in (0, 1). Mathematical Notes, 2010, Vol. 88, No. 4, pp 449–463. Published in Russian in Matematicheskie Zametki, 2010, Vol. 88, No. 4, pp 485–501. DOI: 10.1134/S0001434610090178. ISSN:0001-4346. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Banks, WP and Hill, DK (1974). The Apparent Magnitude of Number Scaled by Random Production. Journal of Experimental Psychology 102 (2), 353-376. ISSN:0022-1015. View Complete Reference Online information Works that this work references Works that reference this work
Banks,M (2009). Benford’s law and the Iranian election. Institute of Physics website: physicsworld.com blog June 23, 2009. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Barlow, JL and Bareiss, EH (1985). On Roundoff Error Distributions in Floating Point and Logarithmic Arithmetic. Computing 34(4), 325-347. ISSN:0010-485X. View Complete Reference Online information Works that this work references Works that reference this work
Barnard, PJ, Scott, SK and May, J (2001). When the central executive lets us down: Schemas, attention, and load in a generative working memory task. Memory, 9 (4-6), 209-221. ISSN:0965-8211. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Battersby, S (2009). Statistics hint at fraud in Iranian election. New Scientist 24 June. View Complete Reference Online information Works that this work references Works that reference this work
Bauer, J and Gross, J (2011). Difficulties Detecting Fraud? The Use of Benford’s Law on Regression Tables. Journal of Economics and Statistics (Jahrbücher für Nationalökonomie und Statistik) 231(5-6), 733-748. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Beber, B and Scacco, A (2009). The Devil is in the Digits. Washington Post, 20 June. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Beber, B and Scacco, A (2012). What the Numbers Say: A Digit-Based Test for Election Fraud. Political Analysis 20 (2), pp. 211-234. DOI:10.1093/pan/mps003. View Complete Reference Online information Works that this work references Works that reference this work
Becker, PW (1982). Patterns in Listings of Failure-Rate and MTTF Values and Listings of Other Data. IEEE Transactions on Reliability 31(2), 132-134. ISSN:0018-9529. View Complete Reference Online information Works that this work references Works that reference this work
Becker, T, Greaves-Tunnell, A, Miller, SJ, Ronan, R and Strauch, FW (2011). Benford's Law and Continuous Dependent Random Variables. Preprint, Math arXiv:1111.0568. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Becker, TJ (2000). Sorry, Wrong Number. Century-old math rule ferrets out modern-day digital deception. Research Horizons, Fall 2000, Georgia Tech. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Beeli, G, Esslen, M and Jäncke, L (2007). Frequency Correlates in Grapheme-Color Synaesthesia. Psychological Science, 18(9), 788-792. ISSN:0956-7976. View Complete Reference Online information Works that this work references Works that reference this work
Beer, TW (2009). Terminal digit preference: beware of Benford's law. Journal of Clinical Pathology 62(2), 192. View Complete Reference Online information Works that this work references Works that reference this work
Benford, F (1938). The law of anomalous numbers. Proceedings of the American Philosophical Society, Vol. 78, No. 4 (Mar. 31, 1938), pp. 551-572. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Bensmail, H and Haoudi, A (2003). Postgenomics: Proteomics and Bioinformatics in Cancer Research. Journal of Biomedicine and Biotechnology (4), 217-230. ISSN:1110-7243. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A (2001). Chaos and Chance. De Gruyter, Berlin and New York. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A (2004). Dynamics and digits: on the ubiquity of Benford’s law. pp 693-695 in: F. Dumortier, H. Broer, J. Mahwin, A. Vanderbauwhede, S. Verduyn Lunel (eds): Proceedings of Equadiff 2003. World Scientific. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A (2005). Benford’s Law in power-like dynamical systems. Stoch. Dyn. 5, 587-607. ISSN:0219-4937. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A (2005). Multi-dimensional dynamical systems and Benford's law. Discrete and Continuous Dynamical Systems 13(1), 219-237. ISSN:1078-0947. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A (2010). Large spread does not imply Benford's Law. Technical Report, Dept. of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, Canada. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Berger, A (2011). Some dynamical properties of Benford sequences. Journal of Difference Equations and Applications 17(2), 137-159. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A, Bunimovich, LA and Hill, TP (2005). One-dimensional dynamical systems and Benford's law. Transactions of the American Mathematical Society 357(1), 197-219. ISSN:0002-9947. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Evans, SN (2012). A Limit Theorem for Occupation Measures of Lévy Processes in Compact Groups. To appear in Stochastics and Dynamics. View Complete Reference No online information available Works that this work references No Bibliography works reference this work
Berger, A and Hill, TP (2006). A characterisation of Newton maps. ANZIAM J. 48, 211-223. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Hill, TP (2007). Newton’s method obeys Benford’s law. American Mathematical Monthly 114 (7), 588-601. ISSN:0002-9890. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Hill, TP (2010). Fundamental Flaws in Feller’s Classical Derivation of Benford’s Law. University of Alberta preprint. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Hill, TP (2011). Benford's Law Strikes Back: No Simple Explanation in Sight for Mathematical Gem. The Mathematical Intelligencer 33(1), 85-91. DOI:10.1007/ s00283-010-9182-3. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Hill, TP (2011). A basic theory of Benford's Law . Probability Surveys 8, 1-126 (2011) . View Complete Reference Online information Works that this work references Works that reference this work
Berger, A, Hill, TP, Kaynar, B and Ridder, A (2011). Finite-state Markov Chains Obey Benford's Law. SIAM Journal of Matrix Analysis and Applications 32(3), 665-684. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A, Hill, TP and Morrison, KE (2008). Scale-Distortion Inequalities for Mantissas of Finite Data Sets. Journal of Theoretical Probability 21(1), 97-117. ISSN:0894-9840. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Siegmund, S (2007). On the distribution of mantissae in nonautonomous difference equations. Journal of Difference Equations and Applications 13(8-9), 829-845. ISSN:1023-6198. View Complete Reference Online information Works that this work references Works that reference this work
Berleant, D, Cheong, MP, Chu,C, Guan,Y, Kamal,A, Shedble, G, Ferson,S and Peters, JF (2003). Dependable Handling of Uncertainty. Reliable Computing 9(6), 407-418. ISSN:1385-3139. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Berton, L (1995). He’s Got Their Number: Scholar Uses Math to Foil Financial Fraud. The Wall Street Journal, pg B1, July 10. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Bharati, R, Crain, SJ and Kaminski, V (2012). Clustering in crude oil prices and the target pricing zone hypothesis. Energy Economics Vol. 34, No. 4, pp. 1115–1123. DOI:10.1016/j.eneco.2011.09.009. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Bhattacharya, P, Chatterjee, A and Chakrabarti, BK (2005). A common mode of origin of the power law distributions in models of market and earthquake. http://arxiv.org/abs/physics/0510038. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Bhattacharya, S (2002). From Kautilya to Benford – Trends in Forensic and Investigative Accounting. 9th World Congress of Accounting Historians, Deakin University. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Bhattacharya, S and Kumar, K (2008). Forensic Accounting and Benford’s Law. IEEE Signal Processing Magazine, 25(2), p. 152. View Complete Reference Online information Works that this work references Works that reference this work
Bhattacharya, S, Kumar, K and Smarandache, F (2005). Conditional probability of actually detecting a financial fraud – a neutrosophic extension to Benford’s law. International Journal of Applied Mathematics 17(1), 7-14. View Complete Reference Online information Works that this work references Works that reference this work
Bhattacharya, S, Xu, D and Kumar, K (2010). An ANN-based auditor decision support system using Benford's Law. Decision support systems, 50 (3), 576-584. View Complete Reference Online information Works that this work references Works that reference this work
Bialik, C (2009). Rise and Flaw of Internet's Election-Fraud Hunters. The Wall Street Journal, 1 July. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Birajdar, GK and Mankar, VH (2013). Digital image forgery detection using passive techniques: A survey. Digital Investigation, Vol. 10, No. 3, pp. 226–245. DOI:10.1016/j.diin.2013.04.007. View Complete Reference Online information Works that this work references Works that reference this work
Block, HW and Savits, TH (2010). A General Example for Benford Data. The American Statistician 64(4), 335-339. View Complete Reference Online information Works that this work references Works that reference this work
Blum, W (2007). Die Nummer eins im Alltag. Süddeutsche Zeitung, May 23. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Bogomolny, A (2004). Benford’s Law and Zipf's Law. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Bolton, RJ and Hand, DJ (2002). Statistical Fraud Detection: a review. Statistical Science 17(3), 235-249. View Complete Reference Online information Works that this work references Works that reference this work
Bonache, A, Moris, K and Maurice, J (2009). Risque associé à l'utilisation de la loi de Benford pour détecter les fraudes dans le secteur de la mode. Munich Personal RePEc Archive (MPRA) Paper No. 15352, posted 26 May 2009. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Bonache, AB, Moris, K and Maurice, J (2010). Détection de fraudes et loi de Benford: Quelques risques associés. Revue Française de Comptabilité n°431, 24-27. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Boring, EG (1920). The logic of the normal law of error in mental measurement. American Journal of Psychology 31, 1-33. ISSN:0002-9556. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Bourke, N and van Peursem, K (2004). Detecting fraudulent financial reporting: teaching the 'watchdog' new tricks. Working paper 79, University of Waikato. ISSN:1173-7182. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Boyle, J (1994). An Application of Fourier Series to the Most Significant Digit Problem. American Mathematical Monthly 101(9), 879-886. ISSN:0002-9890. View Complete Reference Online information Works that this work references Works that reference this work
Bradley, JR and Farnsworth, DL (2009). What is Benford's Law?. Teaching Statistics 31(1), 2-6. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Bradley, JR and Farnsworth, DL (2009). Beispiele und Schüleraktivitäten zum BENFORD-Gesetz. Stochastik in der Schule (SiS) 29, 28-32 . ISSN:1614-0443. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Brady, WG (1978). More on Benford’s law. Fibonacci Quarterly 16, 51-52. View Complete Reference No online information available Works that this work references Works that reference this work
Brähler, G, Bensmann, M and Emke, AL (2010). Der Einsatz mathematisch-statistischer Methoden in der digitalen Betriebsprüfung. Illmenauer Schriften zur Betriebswirtschaftslehre 4/2010. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Brähler, G, Bensmann, M and Jakobi, HR (2011). Das Benfordsche Gesetz und seine Anwendbarkeit bei der digitalen Prüfung von Fahrtenbüchern. Ilmenauer Schriften zur Betriebswirtschaftslehre 3/2011. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Breunig, C and Goerres, A (2011). Searching for Electoral Irregularities in an Established Democracy: Applying Benford’s Law Tests to Bundestag Elections in Unified Germany. Electoral Studies 30(3) September 2011, pp. 534-545. View Complete Reference Online information Works that this work references Works that reference this work
Brooks, D (2001). War, Politics & Customer Loyalty: Forecasting Using Benford’s Law. Frequencies, The Journal of Size Law Applications, 1(1), Aug. 2001, pp. 1-15. View Complete Reference Online information Works that this work references Works that reference this work
Brooks, D (2002). Naked-Eye Quantum Mechanics: Practical Applications of Benford's Law for Integer Quantities. Frequencies - The Journal of Size Law Applications, Special Paper #1, 1-8. View Complete Reference Online information Works that this work references Works that reference this work
Brown, JR and Duncan, RL (1970). Modulo one uniform distribution of the sequence of logarithms of certain recursive sequences. Fibonacci Quarterly 8, 482-486. ISSN:0015-0517. View Complete Reference No online information available Works that this work references Works that reference this work
Brown, P, Chua, A and Mitchell, J (2002). The influence of cultural factors on price clustering: Evidence from Asia–Pacific stock markets. Pacific-Basin Finance Journal, 10(3), 307-332. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Brown, P and Mitchell, J (2008). Culture and stock price clustering: evidence from the peoples’ republic of China. Pacific-Basin Finance Journal 16(1), 95-120 . ISSN:0927-538X. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Brown, RJC (2005). Benford's Law and the screening of analytical data: the case of pollutant concentrations in ambient air. Analyst 130(9), 1280-1285. ISSN:0002-2654. View Complete Reference Online information Works that this work references Works that reference this work
Brown, RJC (2007). The use of Zipf's law in the screening of analytical data: a step beyond Benford. Analyst 132(4), 344-349. ISSN:0003-2654. View Complete Reference Online information Works that this work references Works that reference this work
Browne, MW (1998). Following Benford’s law, or looking out for no. 1. The New York Times, August 4, 1998. View Complete Reference Online information Works that this work references Works that reference this work
Brunell, TL and Glazer, A (2001). Rational Response to Irrational Attitudes: The Level of the Gasoline Tax in the United States. Journal of Policy Analysis and Management 20(4), 761-769. ISSN:0276-8739. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Buck, B, Merchant, AC and Perez, SM (1993). An illustration of Benford’s first digit law using alpha decay half lives. European Journal of Physics 14, 59-63. View Complete Reference Online information Works that this work references Works that reference this work
Bumby, R and Ellentuck, E (1969). Finitely additive measures and the first digit problem. Fundamenta Mathematicae 65, 33-42. ISSN:0016-2736. View Complete Reference Online information Works that this work references Works that reference this work
Burke, J and Kincanon, E (1991). Benford's Law and Physical Constants - The Distribution of Initial Digits. American Journal of Physics 59 (10), 952. ISSN:0002-9505. View Complete Reference Online information Works that this work references Works that reference this work
Burns, B (2009). Sensitivity to statistical regularities: People (largely) follow Benford’s law. pp 2872-2877 in: Proceedings of CogSci 2009, Amsterdam, The Netherlands. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Busta, B and Sundheim, R (1992). Tax return numbers tend to obey Benford's law. Center for Business Research Working Paper No. W93-106-94, St. Cloud State University, Minnesota. View Complete Reference Online information Works that this work references Works that reference this work
Busta, B and Sundheim, R (1992). Detecting manipulated tax returns with the use of Benford's Law. Center for Business Research Working Paper W95-106-94, St. Cloud State University, Minnesota. View Complete Reference Online information Works that this work references Works that reference this work
Busta, B and Weinberg, R (1998). Using Benford’s law and neural networks as a review procedure. Managerial Auditing Journal 13(6), 356-366. View Complete Reference Online information Works that this work references Works that reference this work
Bustoz, J, Feldstein, A, Goodman, R and Linnainmaa, S (1979). Improved Trailing Digits Estimates Applied to Optimal Computer Arithmetic. Journal of the Association for Computing Machinery 26(4), 716-730. ISSN:0004-5411. View Complete Reference Online information Works that this work references Works that reference this work
Buttorff, G (2008). Detecting fraud in America's gilded age. Working Paper No. 2, University of Iowa, 2008, Cal Tech/MIT Voting Technology Project (website). View Complete Reference Online information Works that this work references Works that reference this work
Buyse, M, George, SL, Evans, S, Geller, NL, Edler, L and Hutton, J (1999). The Role of Biostatistics in the Prevention, Detection and Treatment of Fraud in Clinical Trials. Statistics in Medicine 18 (24), 3435-3451. ISSN:0277-6715. View Complete Reference Online information Works that this work references Works that reference this work
Byalko, AV (1991). Statistics of Coefficients in Physical Formulas. Theoretical and Mathematical Physics 88(1), 782-787. ISSN:0040-5779. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Cáceres, JLH, García, JLP and et al. (2008). First digit distribution in some biological data sets. Possible explanations for departures from Benford's Law. Electronic J Biomed 1, 27-35. View Complete Reference Online information Works that this work references Works that reference this work
Caldwell, CC (2008). Does Benford's law apply to prime numbers?. The Prime Pages. View Complete Reference Online information Works that this work references Works that reference this work
Campanario, JM and Coslado, MA (2011). Benford's law and citations, articles and impact factors of scientific journals. Scientometrics, August 2011, Volume 88, Issue 2, pp 421-432. View Complete Reference No online information available Works that this work references Works that reference this work
Candeloro, D (1998). Some remarks on the first digit problem. Atti Sem. Mat. Fis. Univ. Modena 46 (1998), suppl., 511-532. View Complete Reference No online information available No Bibliography works referenced by this work. Works that reference this work
Canessa, E (2003). Theory of analogous force on number sets. Physica A 328, 44-52. View Complete Reference Online information Works that this work references Works that reference this work
Cantu, F and Saiegh, SM (2011). Fraudulent Democracy? An Analysis of Argentina’s Infamous Decade Using Supervised Machine Learning. Political Analysis (Autumn 2011) 19 (4): 409-433; doi:10.1093/pan/mpr033. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Carslaw, CAPN (1988). Anomalies in Income Numbers: Evidence of Goal Oriented Behavior. The Accounting Review 63, No. 2, 321-327. View Complete Reference Online information Works that this work references Works that reference this work
Cartlidge,E (2010). In nature, number one dominates . Institute of Physics, Enviornmental Research Letters Oct 25, 2010. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Casey, MC (2004). Integrated Learning in Multi-net Systems. University of Surrey Ph.D. Thesis submitted Feb 2004. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Caster, P, Mittag, B and Scherga, C (2003). Application of Digital Analysis To Assess the Quality and Usability of the ATA Database. Journal of Forensic Accounting 4, 95-104. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Chaitin-Chatelin, F (1994). Le calcul sur ordinateur a precision finie. Theorie et etat de l’art. CERFACS REPORT TR/PA/94/05. View Complete Reference Online information Works that this work references Works that reference this work
Chaitin-Chatelin, F (1995). Le calcul qualitatif. Comment donner un sens a des resultats faux?. CERFACS REPORT TR/PA/95/10. View Complete Reference Online information Works that this work references Works that reference this work
Chaitin-Chatelin, F (1996). Is finite precision arithmetic useful for physics?. Journal of Universal Computer Science 2(5), 380-395. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Chaitin-Chatelin, F and Frayssé, V (1996). Lectures on Finite Precision Computations. SIAM. View Complete Reference Online information Works that this work references Works that reference this work
Chen, W and Shi, YQ (2009). Detection of Double MPEG Compression Based on First Digit Statistics. In H. J. Kim, S. Katzenbeisser, & A.T.S. Ho (Eds.), Digital watermarking: Seventh International Workshop (IWDW ’08) (pp. 16-30). Berlin: Springer-Verlag. View Complete Reference No online information available Works that this work references Works that reference this work
Chiverton, J and Wells, K (2006). Mixture effects in FIR low-pass filtered signals. IEEE Signal Processing Letters 13(6), 369-372. ISSN:1070-9908. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Cho, MJ, Eltinge, JL and Swanson, D (2003). Inferential methods to identify possible interviewer fraud using leading digit preference patterns and design effect matrices. Proceedings of the American Statistical Association. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Cho, WKT and Gaines, BJ (2007). Breaking the (Benford) law: Statistical fraud detection in campaign finance. American Statistician 61(3), 218-223. ISSN:0003-1305. DOI:10.1198/000313007X223496. View Complete Reference Online information Works that this work references Works that reference this work
Chou, MC, Kong, Q, Teo, CP, Wang, Z and Zheng, H (2009). Benford's Law and Number Selection in Fixed-Odds Numbers Game. Journal of Gambling Studies 25(4), pp. 503-521. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Christensen, JA and Byington, JR (2003). The computer: an essential fraud detection tool. Journal of Corporate Accounting & Finance 14(5), 23-27. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Christian, CW and Gupta, S (1993). New evidence on "Secondary Evasion". The Journal of the American Taxation Association 15, 72-93. View Complete Reference Online information Works that this work references Works that reference this work
Cigler, J (1964). Methods of summability and uniform distribution mod 1. Compositio Mathematica 16, 44-51. View Complete Reference Online information Works that this work references Works that reference this work
Cigler, J and Helmberg, G (1961). Neuere Entwicklungen der Theorie der Gleichverteilung. Jahresbericht der Deutschen Mathematiker Vereinigung 64, 1-50. View Complete Reference Online information Works that this work references Works that reference this work
Ciofalo, M (2009). Entropy, Benford’s first digit law, and the distribution of everything. Dipartimento di Ingegneria Nucleare, Università degli Studi di Palermo, Italy. View Complete Reference Online information Works that this work references Works that reference this work
Cleary, R and Thibodeau, JC (2005). Applying Digital Analysis Using Benford‘s Law to Detect Fraud: The Dangers of Type I Errors. Auditing - A Journal of Practice & Theory 24(1), 77-81. ISSN:0278-0380. View Complete Reference Online information Works that this work references Works that reference this work
Clenshaw, CV, Olver, FWJ and Turner, PR (1989). Level-Index Arithmetic - An Introductory Survey. Lecture Notes in Mathematics 1397, pp 95-168. ISSN:0075-8434. View Complete Reference Online information Works that this work references Works that reference this work
Clippe, P and Ausloos, M (2012). Benford's law and Theil transform of financial data. Physica A: Statistical Mechanics and its Applications, 2012, Vol. 391, No. 24, 6556–6567. View Complete Reference Online information Works that this work references Works that reference this work
Cockshott, WP, McGregor, D and Wilson, J (1998). High-Performance Operations Using a Compressed Database Architecture. The Computer Journal 41(5), 283-296. ISSN:0010-4620. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Coderre, D. (1999). Fraud Detection: Using Data Analysis Techniques to Detect Fraud. Global Audit Publications, ACL, Vancouver, Canada. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Cohen, DIA (1976). An Explanation of the First Digit Phenomenon. Journal of Combinatorial Theory Series A 20(3), 367-370. ISSN:0097-3165. View Complete Reference No online information available Works that this work references Works that reference this work
Cohen, DIA and Katz, TM (1984). Prime Numbers and the First Digit Phenomenon. Journal of Number Theory 18(3), 261-268. ISSN:0022-314X. View Complete Reference Online information Works that this work references Works that reference this work
Conway,D (2010). Benford’s Law Tests for Wikileaks Data . Zero Intelligence Agents website posting August 1, 2010. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Corazza, M, Ellero, A and Zorzi, A (2008). What sequences obey Benford's law?. Working Paper n. 185/2008, November 2008, Department of Applied Mathematics, University of Venice. ISSN:1828-6887. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Corazza, M, Ellero, A and Zorzi, A (2010). Checking financial markets via Benford's law: the S&P 500 case. pp 93-102 in: Corazza, M and Pizzi, C (Eds.): Mathematical and Statistical Methods for Actuarial Sciences and Finance, Springer. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Costas, E, López-Rodas, V, Toro, FJ and Flores-Moya, A (2008). The number of cells in colonies of the cyanobacterium Microcystis aeruginosa satisfies Benford's law. Aquatic Botany 89(3), 341-343. View Complete Reference Online information Works that this work references Works that reference this work
Cournane, S, Sheehy, N and Cooke, J (2013). The novel application of Benford's second order analysis for monitoring radiation output in interventional radiology. Physica Medica, in press, pp. 1-6. DOI:10.1016/j.ejmp.2013.11.004. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Courtland, R (2010). Curious mathematical law is rife in nature. Issue 2782, New Scientist, 14 October. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Craig, TR (1992). Round-off bias in earnings-per-share calculations. Journal of Applied Business Research 8 (4), 106-113. View Complete Reference Online information Works that this work references Works that reference this work
Cristelli, M, Batty, M and Pietronero, L (2012). There is more than a power law in Zipf. Scientific Reports 2:812. DOI:10.1038/srep00812. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Cuff, V , Lewis, A and Miller, SJ (2009). The Weibull distribution and Benford’s law. Preprint. View Complete Reference Online information Works that this work references Works that reference this work
Das, S and Zhang, H (2001). The stock market’s under-reaction to rounding-up in EPS. Preprint. View Complete Reference Online information Works that this work references Works that reference this work
Das, S and Zhang, H (2003). Rounding-up in reported EPS, behavioral thresholds, and earnings management. Journal of Accounting & Economics 35(1), 31-50. ISSN:0165-4101. View Complete Reference Online information Works that this work references Works that reference this work
Davis, B (1976). Some Remarks on Initial Digits. Fibonacci Quarterly 14(1), 13-14. ISSN:0015-0517. View Complete Reference No online information available Works that this work references Works that reference this work
Davis, BS and Davis, TA (1989). Fibonacci numbers and the golden mean in nature. The Mathematical Scientist 14, 89-100. View Complete Reference No online information available Works that this work references Works that reference this work
De Ceuster, MJK, Dhaene, G and Schatteman, T (1998). On the hypothesis of psychological barriers in stock markets and Benford’s law. Journal of Empirical Finance 5(3), 263-279. View Complete Reference Online information Works that this work references Works that reference this work
De Marchi, S and Hamilton, JT (2006). Assessing the accuracy of self-reported data: An evaluation of the toxics release inventory. Journal of Risk and Uncertainty 32(1), 57-76. ISSN:0895-5646. View Complete Reference Online information Works that this work references Works that reference this work
de Vocht, F and Kromhout, H (2013). The use of Benford's law for evaluation of quality of occupational hygiene data. Ann Occup Hyg. 57(3), pp. 296-304. DOI:10.1093/annhyg/mes067. View Complete Reference Online information Works that this work references Works that reference this work
De Vries, P and Murk, AJ (2013). Compliance of LC50 and NOEC data with Benford's Law: An indication of reliability?. Ecotoxicology and Environmental Safety 98 (2013) 171–178. DOI:10.1016/j.ecoenv.2013.09.002. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Deakin, MAB (1993). Another derivation of Benford’s law. Australian Mathematical Society Gazette 20, 162-163. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Debreceny, RS and Gray, GL (2010). Data mining journal entries for fraud detection: An exploratory study. International Journal of Accounting Information Systems, Vol. 11, No. 3, pp. 157–181. DOI:10.1016/j.accinf.2010.08.001. View Complete Reference Online information Works that this work references Works that reference this work
Deckert, J, Myagkov, M and Ordeshook, PC (2010). The Irrelevance of Benford's Law for Detecting Fraud in Elections. CALTECH working paper 9. View Complete Reference Online information Works that this work references Works that reference this work
Deckert, J, Myagkov, M and Ordeshook, PC (2011). Benford's Law and the Detection of Election Fraud. Political Analysis 19(3), 245-268. View Complete Reference Online information Works that this work references Works that reference this work
Dehaene, S and Mehler, J (1992). Cross-Linguistic Regularities in the Frequency of Number Words. Cognition 43(1), 1-29. ISSN:0010-0277. View Complete Reference Online information Works that this work references Works that reference this work
Del Acebo, E and Sbert, M (2005). Benford's Law for Natural and Synthetic Images. Proceedings of Computational Aesthetics in Graphics, Visualization and Imaging 2005, pp. 169-176. ISSN:1816-0859. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Deligny, H and Jolissaint, P (2013). Relations de récurrence linéaires, primitivité et loi de Benford. Elemente der Mathematik, 68(1), pp. 9-21. DOI:10.4171/EM/213. FRE View Complete Reference Online information Works that this work references No Bibliography works reference this work
den Heijer, E and Eiben, AE (2014). Investigating aesthetic measures for unsupervised evolutionary art. Swarm and Evolutionary Computation, Vol. 16, pp. 52–68. DOI:10.1016/j.swevo.2014.01.002. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Diaconis, P (1977). The Distribution of Leading Digits and Uniform Distribution Mod 1. Annals of Probability 5(1), 72-81. ISSN:0091-1798. View Complete Reference Online information Works that this work references Works that reference this work
Diaconis, P (1977). Examples of the theory of infinite iteration of summability methods. Canadian Journal of Mathematics 29(3), 489-497. View Complete Reference Online information Works that this work references Works that reference this work
Diaconis, P (2002). G.H. Hardy and Probability ???. Bulletin of the London Mathematical Society 34, 385-402. View Complete Reference Online information Works that this work references Works that reference this work
Diaconis, P and Freedman, D (1979). On Rounding Percentages. Journal of the American Statistical Association 74(366), 359-364. ISSN:0162-1459. View Complete Reference Online information Works that this work references Works that reference this work
Dickinson, JR (2002). A universal mathematical law criterion for algorithmic validity. Developments in Business Simulation and Experiential Learning 29, 26-33. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Diekmann, A (2002). Sources of bias and quality of data in social science research. Institute of Technology Assessment (ITA) Working Paper No. ITA-02-04. View Complete Reference Online information Works that this work references Works that reference this work
Diekmann, A (2007). Not the First Digit! Using Benford's Law to Detect Fraudulent Scientific Data. Journal of Applied Statistics 34(3), 321-329. ISSN:0266-4763. View Complete Reference Online information Works that this work references Works that reference this work
Diekmann, A (2012). Making Use of ‘‘Benford’s Law’’ for the Randomized Response Technique. Sociological Methods and Research 41(2):325-334. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Diekmann, A and Jann, B (2010). Benford’s Law and Fraud Detection: Facts and Legends. German Economic Review 11(3), 397–401. View Complete Reference Online information Works that this work references Works that reference this work
Diniz, JA, dos Santos, J, Dieng, M and Diniz, MAA (2006). Comprovação de Eficácia da Aplicação de Modelos Contabilométricos no Campo daAuditoria Digital das Contas Públicas Municipais: caso de um Tribunal de Contas de um estado brasileiro. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Dlugosz, S (2004). Digitalanalyse als Ansatz zur Betrugserkennung in Finanzdaten. Diploma thesis, Westfälische Wilhelms-Universität Münster, Germany. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Dlugosz, S and Müller-Funk, U (2009). The value of the last digit: statistical fraud detection with digit analysis. Advances in Data Analysis and Classification 3, 281-290. View Complete Reference Online information Works that this work references Works that reference this work
Docampo, S, del Mar Trigo, M, Aira, M, Cabezudo, B and Flores-Moya, A (2009). Benford’s law applied to aerobiological data and its potential as a quality control tool . Aerobiologia 25, 275-283 . ISSN:0393-5965. View Complete Reference Online information Works that this work references Works that reference this work
Dominguez, MP and Burguillo, JDA (1999). El primer digito significativo. Revista Epsilon de la S.A.E.M. "Thales", 45 (15/3), 339-352. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Dorfleitner, G and Klein, C (2009). Psychological barriers in European stock markets: Where are they?. Global Finance Journal 19(3), 268-285. View Complete Reference Online information Works that this work references Works that reference this work
Dorogovtsev, SN, Mendes, JFF and Oliveira, JG (2006). Frequency of occurrence of numbers in the World Wide Web. Physica A: Statistical Mechanics and its Applications 360(2), 548-556. ISSN:0378-4371. View Complete Reference Online information Works that this work references Works that reference this work
Dorrestijn, J (2008). Graphing conformity of distributions to Benford’s Law for various bases. MSc thesis, Universiteit Utrecht, The Netherlands. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Dos Santos, J, Diniz, JA and Corrar, LJ (2005). O Foco é a Teoria Amostral nos Campos da Auditoria Contábil Tradicional e da Auditoria Digital: testando a Lei de Newcomb-Benford para o primeiro digito nas contas publicas. Brazilian Business Review 2 (1), 71-89. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Doucouliagos, C (2004). Number preference in Australian stocks. Applied Financial Economics 14(1), 43-54. View Complete Reference Online information Works that this work references Works that reference this work
Doucouliagos, C (2005). Price exhaustion and number preference: time and price confluence in Australian stock prices. The European Journal of Finance 11(3), 207-222. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Drake, PD and Nigrini, MJ (2000). Computer assisted analytical procedures using Benford’s law. Journal of Accounting Education 18, 127-146. View Complete Reference Online information Works that this work references Works that reference this work
Drmota, M and Tichy, RF (1997). Sequences, Discrepancies and Applications. Lecture Notes in Mathematics 1651. View Complete Reference Online information Works that this work references Works that reference this work
Dumas, CF and Devine, JH (2000). Detecting Evidence of Non-Compliance in Self- Reported Pollution Emissions Data: An Application of Benford’s Law. Selected Paper, American Agricultural Economics Association, Annual meeting. View Complete Reference Online information Works that this work references Works that reference this work
Dümbgen, L and Leuenberger, C (2008). Explicit Bounds for the Approximation Error in Benford’s Law. Electronic Communications in Probability 13, 99-112. ISSN:1083-589X. View Complete Reference Online information Works that this work references Works that reference this work
Duncan, RL (1967). An application of uniform distributions to the Fibonacci numbers. Fibonacci Quarterly 5, 137-140. View Complete Reference No online information available No Bibliography works referenced by this work. Works that reference this work
Duncan, RL (1969). Note on the initial digit problem. Fibonacci Quarterly 7(5), 474-475. View Complete Reference No online information available Works that this work references Works that reference this work
Duran, JP (1974). Almost convergence, summability and ergodicity. Canadian Journal of Mathematics 26(2), 372-387. View Complete Reference No online information available No Bibliography works referenced by this work. Works that reference this work
Durrett, R (1996). Probability: Theory and Examples (2nd ed). p 301. View Complete Reference Online information Works that this work references Works that reference this work
Durtschi, C, Hillison, W and Pacini, C (2004). The effective use of Benford’s law to assist in detecting fraud in accounting data. Journal of Forensic Accounting 1524-5586/Vol. V, 17-34. View Complete Reference Online information Works that this work references Works that reference this work
Dworschak, M (1998). Weiter Weg zur Zwei. pp 228-229 in: Der Spiegel 47, 16 November. View Complete Reference Online information Works that this work references Works that reference this work
Egghe, L (2011). Benford’s law is a simple consequence of Zipf’s law. ISSI Newsletter, 7(3), 55–56. View Complete Reference Online information Works that this work references Works that reference this work
Egghe, L (2013). The functional relation between the impact factor and the uncitedness factor revisited. Journal of Informetrics, Vol. 7, No. 1, pp. 183–189. DOI:10.1016/j.joi.2012.10.007. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Egghe, L and Guns, R (2012). Applications of the generalized law of Benford to informetric data. Journal of the American Society for Information Science and Technology, Volume 63, Issue 8, 1662-1665, August 2012, doi: 10.1002/asi.22690. ISSN:1532-2882. View Complete Reference Online information Works that this work references Works that reference this work
El Sehity, T, Hoelzl, E and Kirchler, E (2005). Price developments after a nominal shock: Benford's Law and psychological pricing after the euro introduction. International Journal of Research in Marketing 22(4), 471-480. ISSN:0167-8116. View Complete Reference Online information Works that this work references Works that reference this work
Eliahou, S, Massé, B and Schneider, D (2013). On the mantissa distribution of powers of natural and prime numbers. Acta Mathematica Hungarica, Volume 139, Issue 1 (2013), pp. 49-63, doi: 10.1007/s10474-012-0244-1. ISSN:0236-5294. View Complete Reference Online information Works that this work references Works that reference this work
Eliazar, II (2013). Benford's Law: A Poisson Perspective. Physica A 392(16) pp. 3360–3373. DOI:10.1016/j.physa.2013.03.057. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Ellenberg, J and Sober, E (2011). Objective Probabilities in Number Theory. Philosophia Mathematica 19 (3): 308-322. doi: 10.1093/philmat/nkr022 First published online: August 17, 2011. ISSN:0031-8019. DOI:10.1093/phimat/nkr022. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Engel, HA and Leuenberger, C (2003). Benford's law for exponential random variables. Statistics & Probability Letters 63, 361-365. ISSN:0167-7152. View Complete Reference Online information Works that this work references Works that reference this work
Ettredge, ML and Srivastava, RP (1999). Using digital analysis to enhance data integrity. Issues in Accounting Education 14(4), 675-690. View Complete Reference Online information Works that this work references Works that reference this work
Fairthorne, RA (1969). Progress in Documentation - Empirical Hyperbolic Distributions (Bradford-Zipf-Mandelbrot) for Bibliometric Description and Prediction. Journal of Documentation 25(4), 319-343; reprinted 2005 in Journal of Documentation 61(2), 171-193. ISSN:0022-0418. View Complete Reference Online information Works that this work references Works that reference this work
Farkas, J and Gyürky, G (2010). The significance of using the Newcomb-Benford law as a test of nuclear half-life calculations. Acta Physica Polonica B 41, 1213-1221. ISSN:PL 0587-4254. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Farnsworth, DF, Horan, KK and Galgon, RM (2007). A guide to Benford's law. Mathematics and Computer Education 41, 230-243. ISSN:ISSN: 0730-8639. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Favaretto, F (2007). Verificacao da qualidade de dados atraves da lei de Benford. XXVII Brazilian National Conference on Engineering, October 2007. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Feldstein, A and Goodman, R (1976). Convergence Estimates for Distribution of Trailing Digits. Journal of the Association for Computing Machinery, 23(2), 287-297. ISSN:0004-5411. View Complete Reference Online information Works that this work references Works that reference this work
Feldstein, A and Turner, P (1986). Overflow, Underflow, and Severe Loss of Significance in Floating-Point Addition and Subtraction. IMA Journal of Numerical Analysis 6, 241-251. View Complete Reference Online information Works that this work references Works that reference this work
Feldstein, A and Turner, PR (1996). Overflow and underflow in multiplication and division. Applied Numerical Mathematics 21(3), 221-239. ISSN:0168-9274. View Complete Reference Online information Works that this work references Works that reference this work
Feldstein, A and Turner, PR (2006). Gradual and tapered overflow and underflow: A functional differential equation and its approximation. Applied Numerical Mathematics 56(3-4), 517-532. ISSN:0168-9274. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Feller, W (1971). An Introduction to Probability Theory and Its Applications. p 63, vol 2, 2nd ed. J. Wiley. View Complete Reference No online information available Works that this work references Works that reference this work
Fewster, RM (2009). A simple Explanation of Benford's Law. American Statistician 63(1), 20-25. DOI:10.1198/tast.2009.0005. View Complete Reference Online information Works that this work references Works that reference this work
Filipponi, P (1994). Fn and Ln cannot have the same initial digit. Pi Mu Epsilon Journal 10.1, 5-6. View Complete Reference No online information available No Bibliography works referenced by this work. Works that reference this work
Filipponi, P and Menicocci, R (1995). Some Probabilistic Aspects of the Terminal Digits of Fibonacci Numbers. Fibonacci Quarterly 33(4), 325-331. ISSN:0015-0517. View Complete Reference No online information available Works that this work references Works that reference this work
Flam, F (2000). Math formula could help spot tax cheats. The Pittsburg Post-Gazette, 19 April. View Complete Reference No online information available No Bibliography works referenced by this work. No Bibliography works reference this work
Flehinger, BJ (1966). On the Probability that a Random Integer has Initial Digit A. American Mathematical Monthly 73(10), 1056-1061. ISSN:0002-9890. View Complete Reference Online information Works that this work references Works that reference this work
Florack, LMJ (1999). Visual representations embodying spacetime structure. Technical Report, University Utrecht, UU-CS-1999-07. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Formann, AK (2010). The Newcomb-Benford Law in Its Relation to Some Common Distributions. PLoS ONE 5(5): e10541. doi:10.1371/journal.pone.0010541. View Complete Reference Online information Works that this work references Works that reference this work
Franel, J (1917). A propos des tables de logarithmes. Festschrift der Naturforschenden Gesellschaft in Zürich, Vierteljahrsschrift 62, 286-295. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Frank, A (2006). Benford's law. http://reason-and-rhyme.blogspot.com/2006/10/benfords-law.html. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Frey, B (2006). Spot Faked Data. Hack #64 in: Statistic Hacks, pp 251-262 O'Reilley Media, Sebastopol, CA. ISSN:ISBN-13: 978-0-596-1. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Friar, JL, Goldman, T and Pérez–Mercader, J (2012). Genome Sizes and the Benford Distribution. PLoS ONE 7(5): e36624. doi:10.1371/journal.pone.0036624 Public Library of Science. View Complete Reference Online information Works that this work references Works that reference this work
Friedberg, SH (1984). The Distribution of First Digits. College Mathematics Journal 15(2), 120-125. ISSN:0049-4925. View Complete Reference Online information Works that this work references Works that reference this work
Frieden, BR (1999). F-Information, a Unitless Variant of Fisher Information. Foundations of Physics 29(10), 1521-1541. ISSN:0015-9018. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Fu, D, Shi, YQ and Su, W (2007). A generalized Benford’s law for JPEG coefficients and its applications in image forensics. Proceedings of SPIE, Volume 6505, Security, Steganography and Watermarking of Multimedia Contents IX, San Jose, California, January 28 - February 1, 2007, pp. 65051L-65051L-11. DOI:10.1117/12.704723. View Complete Reference Online information Works that this work references Works that reference this work
Fuchs, A and Letta, G (1984). Sur le problème du premier chiffre décimal. Boll. Unione Mat. Ital., VI. Ser., B 3, 451-461. View Complete Reference No online information available No Bibliography works referenced by this work. Works that reference this work
Fuchs, A and Letta, G (1996). Le problème du premier chiffre decimal pour les nombres premiers. The Electronic Journal of Combinatorics 3(2), R25. View Complete Reference Online information Works that this work references Works that reference this work
Fuchs, A and Nanopoulos, P (1985). Mesures invariantes par translation, classes de Dynkin first-digit problem. Advances in Mathematics 55, 24-74. View Complete Reference Online information Works that this work references Works that reference this work
Furlan, LV (1946). Das Harmoniegesetz der Statistik: Eine Untersuchung ueber die metrische Interdependenz der sozialen Erscheinungen. Basel, Verlag fuer Recht und Gesellschaft AG, xiii:504p. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Furry, WH and Hurwitz, H (1945). Distribution of numbers and distribution of significant figures. Nature 155(3924), 52-53. View Complete Reference Online information Works that this work references Works that reference this work
Gambarara, F and Nagy, O (2004). Benford Distribution in Science. ETH Zürich, available at: http://www.socio.ethz.ch/education/mtu/downloads/ gambarara_nagy_2 004_mtu.pdf. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Gambini, A, Scarpello, GM and Ritelli, D (2012). Probability of digits by dividing random numbers: A ψ and ζ functions approach. Expositiones Mathematicae, Vol. 30, No. 3, pp. 223–238. DOI:10.1016/j.exmath.2012.03.001. View Complete Reference Online information Works that this work references Works that reference this work
Garcia-Berthou, E and Alcaraz, C (2004). Incongruence between test statistics and P values in medical papers. BMC Medical Research Methodology 4(13). View Complete Reference Online information Works that this work references No Bibliography works reference this work
Gauvrit, N and Delahaye, J-P (2008). Pourquoi la loi de Benford n’est pas mystérieuse - A new general explanation of Benford’s law. Mathematiques et sciences humaines/ Mathematics and social sciences, 182(2), 7-15. ISSN:0987-6936. View Complete Reference Online information Works that this work references Works that reference this work
Gauvrit, N and Delahaye, J-P (2009). Scatter and regularity imply Benford's Law ... and more. arXiv preprint -http://arxiv.org/pdf/0910.1359.pdf. View Complete Reference Online information Works that this work references Works that reference this work
Gauvrit, N and Delahaye, J-P (2009). Loi de Benford générale (General Benford Law). Mathématiques et sciences humaines/ Mathematics and Social Sciences 186, 5–15. View Complete Reference Online information Works that this work references Works that reference this work
Gauvrit, N and Delahaye, J-P (2011). Scatter and Regularity Implies Benford's Law... and More. in H. Zenil (Ed.) Randomness Through Complexity, Singapore, World Scientific, 53-69. ISSN:13978-981-4327-74-9. View Complete Reference Online information Works that this work references Works that reference this work
Geiringer, H (1948). Review of L.V. Furlan’s book. Journal of the American Statistical Association 43, 325-328. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Gelman, A and Nolan, D (2002). Teaching Statistics: a bag of tricks. Oxford University Press. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Gelman, A and Nolan, D (2002). Some Statistical Sampling and Data Collection Activities. Mathematics Teacher 95(9), 688-693. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Genolini, C and Driss, T (2010). Eveiller l'intérêt pour la statistique par l'exemple. Statistique et Enseignement 1(2), 49-57. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Gent, I and Walsh, T (2001). Benford’s law. Preprint. APES Research Report, 2001. View Complete Reference Online information Works that this work references Works that reference this work
Geyer, A and Martì, J (2012). Applying Benford’s law to volcanology. Geology 40(4), pp. 327-330. View Complete Reference Online information Works that this work references Works that reference this work
Geyer, CL and Williamson, PP (2004). Detecting Fraud in Data Sets Using Benford's Law. Communications in Statistics: Simulation and Computation 33(1), 229-246. ISSN:0361-0918. DOI:10.1081/SAC-120028442. View Complete Reference Online information Works that this work references Works that reference this work
Giles, DE (2006). The Exact Asymptotic Distribution Function of Watson's UN2 for Testing Goodness-of-Fit with Circular Discrete Data. University of Victoria, Econometrics Working Paper EWP0607. ISSN:1485-6441. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Giles, DE (2007). Benford's law and naturally occurring prices in certain eBay auctions. Applied Economics Letters 14(3), 157-161. ISSN:1350-4851. View Complete Reference Online information Works that this work references Works that reference this work
Gilio, A (1986). An application of the pseudodensity concept to the first digit problem significant for statistical data. Rend. Mat. Appl., VII. Ser. 6 (1-2), 215-224. View Complete Reference No online information available No Bibliography works referenced by this work. No Bibliography works reference this work
Gini, C (1957). Sulla frequenza delle cifre iniziali dei numeri osservati. Bull. Inst. Internat. Stat., 29th session, 35(2), 57-76. View Complete Reference No online information available No Bibliography works referenced by this work. Works that reference this work
Giuliano Antonini, R (1991). On the notion of uniform distribution mod 1. Fibonacci Quarterly 29(3), 230-234. View Complete Reference No online information available Works that this work references Works that reference this work
Giuliano Antonini, R and Grekos, G (2005). Regular sets and conditional density: an extension of Benford's law. Colloq. Math. 103, 173-192. View Complete Reference Online information Works that this work references Works that reference this work
Giuliano, R (2010). Weak convergence of sequences from fractional parts of random variables and applications. Theory of Probability and Mathematical Statistics, 83, 49-58. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Giuliano, R and Janvresse, E (2010). A unifying probabilistic interpretation of Benford's Law. Uniform Distribution Theory. View Complete Reference Online information Works that this work references Works that reference this work
Glück, M (2008). Benfords Gesetz. http://www.benfords-gesetz.de/index.html. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Glück, MIS (2007). Die Benford-Verteilung - Anwendung auf reale Daten der Marktforschung. Diploma thesis, TU Dresden, published as e-book by Grin Verlag. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Göb, R (2007). Data Conformance Testing by Digital Analysis–A Critical Review and an Approach to More Appropriate Testing. Quality Engineering 19 (4), 281-297. View Complete Reference Online information Works that this work references Works that reference this work
Göb, R (2007). Data Conformance Testing by Digital Analysis - A Critical Review and an Approach to More Appropriate Testing. Quality Engineering Volume 19(4), 281-297 (2007), doi:10.1080/08982110701633721. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Goldoni, E, Savazzi, P and Gamba, P (2012). A novel source coding technique for wireless sensor networks based on Benford's law . 2012 IEEE Workshop on Environmental Energy and Structural Monitoring Systems (EESMS), 26-28 Sept. 2012, pp 32-34 . ISSN:978-1-4673-2739-8 . View Complete Reference Online information Works that this work references No Bibliography works reference this work
Gonzalez-Garcia, J and Pastor, G (2009). Benford’s Law and Macroeconomic Data Quality. International Monetary Fund Working Paper WP/09/10, Statistics Department, January 2009. View Complete Reference Online information Works that this work references Works that reference this work
Good, IJ (1965). Letter to the Editor. The American Statistician 19(3), 43. View Complete Reference Online information Works that this work references Works that reference this work
Good, IJ (1986). Some statistical applications of Poisson’s work. Statistical Science 1(2), 157-170. View Complete Reference Online information Works that this work references Works that reference this work
Goodman, RH, Feldstein, A and Bustoz, J (1985). Relative Error in Floating-Point Multiplication. Computing 35, 127-139. ISSN:1436-5057. View Complete Reference Online information Works that this work references Works that reference this work
Goodman, WM (2013). Reality Checks for a Distributional Assumption: The Case of “Benford’s Law”. JSM Proceedings. Alexandria, VA: American Statistical Association (2013), pp. 2789-2803. (Also published on the Statistical Literacy website, at URL: http://www.statlit.org/pdf/2013-Goodman-ASA.pdf) . View Complete Reference Online information Works that this work references No Bibliography works reference this work
Gorroochurn, P (2012). Benford and the Peculiar Behavior of the First Significant Digit (1938). Chapter 27 in: Classic problems of probability. John Wiley & Sons: Hoboken, NJ, 2012. ISSN:978-1-118-06325-5 . DOI:10.1002/9781118314340. View Complete Reference No online information available Works that this work references No Bibliography works reference this work
Goto, K (1992). Some examples of Benford sequences. Mathematical Journal of the Okayama University 34, 225-232. View Complete Reference Online information Works that this work references Works that reference this work
Goto, K and Kano, T (1985). Uniform distribution of some special sequences. Proc. Japan Acad. Ser. A Math. Sci. 61(3), 83-86. View Complete Reference Online information Works that this work references Works that reference this work
Gottwald, GA and Nicol, M (2002). On the nature of Benford’s law. Physica A: Statistical Mechanics and its Applications 303(3-4), 387-396. View Complete Reference Online information Works that this work references Works that reference this work
Goudsmit, SA (1977). Pitfalls in Elementary Probability. Proceedings of the American Philosophical Society 121(2), 188-189. ISSN:0003-049X. View Complete Reference Online information Works that this work references Works that reference this work
Goudsmit, SA and Furry, WH (1944). Significant figures of numbers in statistical tables. Nature 154(3921), 800-801. ISSN:0028-0836. View Complete Reference Online information Works that this work references Works that reference this work
Grabowski, F and Trojanowski, P (2006). Benford's law in image analysis. Tools of Information Technology, Rzeszow, 15 Sep 2006. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Grabski, S (2010). Discussion of 'Data mining journal entries for fraud detection: An exploratory study'. International Journal of Accounting Information Systems, Vol. 11, No. 3, pp. 182–185. DOI:10.1016/j.accinf.2010.07.008. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Graham, SDJ, Hasseldine, J and Paton, D (2009). Statistical fraud detection in a commercial lobster fishery. New Zealand Journal of Marine and Freshwater Research Volume 43, Issue 1, 2009, pages 457-463. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Grandison, S and Morris, RJ (2008). Biological pathway kinetic rate constants are scale-invariant. Bioinformatics 24(6), 741-743. ISSN:1367-4803. View Complete Reference Online information Works that this work references Works that reference this work
Grekos, G (2005). On various definitions of density. Tatra Mountains Mathematical Publications 31, 17-27. ISSN:1210-3195. View Complete Reference Online information Works that this work references Works that reference this work
Grendar, M, Judge, G and Schechter, L (2007). An empirical non-parametric likelihood family of data-based Benford-like distributions. Physica A: Statistical Mechanics and its Applications 380, 429-438. ISSN:0378-4371. View Complete Reference Online information Works that this work references Works that reference this work
Griffiths, TL and Kalish, ML (2002). A multidimensional scaling approach to mental multiplication. Memory & Cognition 30(1), 97-106. ISSN:0090-502X. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Groce, D (2005). Benford's Law. Presentation at the Lyncean Group, California, USA, 23 March. View Complete Reference Online information Works that this work references Works that reference this work
Guan, L, He, D and Yang, D (2006). Auditing, integral approach to quarterly reporting, and cosmetic earnings management. Managerial Auditing Journal 21(6), 569-581. View Complete Reference Online information Works that this work references Works that reference this work
Guan, L, Skousen, CJ and Wetzel, TS (2005). Unusual Patterns in Reported Earnings: Additional Evidence. Journal of Forensic Accounting 6(2), 317-332. View Complete Reference Online information Works that this work references Works that reference this work
Guettler, S, Thiemann, F and Mueller, R.A.E. (2012). Benfords Gesetz: Ein Qualitätstest für statistische Reihen angewendet auf Handelsdaten für Agrarprodukte. Clasen, M., Fröhlich, G., Bernhardt, H., Hildebrand, K. und Theuvsen, B. (eds.) (2012): Informationstechnologie für eine nachhaltige Landbewirtschaftung. Referate der 32. GIL-Jahrestagung, 29. Februar – 1. März 2012, Freising. Lecture Notes in Informatics. ISSN:1617-5468 / 978-8857. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Guillou, A and Hall, P (2001). A diagnostic for selecting the threshold in extreme value analysis. Journal of the Royal Statistical Society Series B - Statistical Methodology 63(2), 293-305. ISSN:1369-7412. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Günnel, S and Tödter, KH (2009). Does Benford's law hold in economic research and forecasting?. Empirica 36, 273-292. View Complete Reference Online information Works that this work references Works that reference this work
Haber, S (1983). Parameters for Integrating Periodic Functions of Several Variables. Mathematics of Computation 41(163), 115-129. ISSN:0025-5718. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Hafner, EM (1979). Circular slide roulette. IEEE Communications Magazine 17(2), 29-32. View Complete Reference Online information Works that this work references Works that reference this work
Haigh, J (2003). Benford's Law. pp 283-286 in: Taking Chances: Winning with Probability, Oxford University Press. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Hales, DN, Chakravorty, SS and Sridharan, V (2009). Testing Benford’s Law for improving supply chain decision-making: A field experiment. Int. J. Production Economics 122 (2009) pp. 606–618. View Complete Reference Online information Works that this work references Works that reference this work
Hales, DN, Sridharan, V, Radhakrishnan, A, Chakravorty, SS and Sihad, SM (2008). Testing the accuracy of employee-reported data: An inexpensive alternative approach to traditional methods. European Journal of Operational Research 189(3), 583-593. View Complete Reference Online information Works that this work references Works that reference this work
Hamadeh, N (2004). Wireless Security and Traffic Modeling Using Benford's Law. Master’s Thesis, University of New Mexico, Albuquerque, NM, 2004 (99 pgs). View Complete Reference Online information Works that this work references No Bibliography works reference this work
Hamming, R (1970). On the distribution of numbers. Bell Syst. Tech. J. 49(8), 1609-1625. ISSN:0005-8580. View Complete Reference No online information available Works that this work references Works that reference this work
Harford, T (2007). Your number's up. Last retrieved from: http://timharford.com/2007/11/your-numbers-up/. First published on ft.com. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Harford, T (2011). Look out for No. 1: Researchers have used Benford’s Law to examine abnormal distribution in Greek macroeconomic data. FT Magazine, September 9, 2011. Last retrieved 29 April 2014.. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Harrington, JE (2005). Detecting Cartels. Economics Working Paper 526, Johns Hopkins University, to appear in: Advances in the Economics of Competition Law. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Hassan, B (2002). Assessing data authenticity with Benford’s law. Information Systems Control Journal 6. View Complete Reference Online information Works that this work references Works that reference this work
Hassan, B (2003). Examining data accuracy and authenticity with leading digit frequency analysis. Industrial Management & Data Systems 103(1-2), 121-125. ISSN:0263-5577. View Complete Reference Online information Works that this work references Works that reference this work
Havil, J (2003). Benford's Law. Sec 14.2, pp 145-155 in: Gamma: Exploring Euler's Constant, Princeton University Press, USA. View Complete Reference Online information Works that this work references Works that reference this work
Havil, J (2008). Benford's Law. pp 190-200 in: Impossible? Surprising solutions to counterintuitive conundrums, Princeton University Press, USA. ISSN:ISBN 978-0-691-13131. View Complete Reference Online information Works that this work references Works that reference this work
Hayes, S (2009). Benford’s law in relation to terminal digit preference. Journal of Clinical Pathology 62(6), 575-576. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Hein, J, Zobrist, R, Konrad, C and Schuepfer, G (2012). Scientific fraud in 20 falsified anesthesia papers : detection using financial auditing methods. Der Anaesthesist 61(6), pp. 543-9. DOI:10.1007/s00101-012-2029-x. View Complete Reference Online information Works that this work references Works that reference this work
Herrmann, D and Thomas, WB (2005). Rounding of Analyst Forecasts. Accounting Review 80(3), 805-823. ISSN:0001-4826. View Complete Reference Online information Works that this work references Works that reference this work
Herzel, A (1956). Sulla distribuzione delle cifre iniziali die numeri statistici. Atti XV e XVI Riunione sci., Roma 1956, 205-228. View Complete Reference No online information available No Bibliography works referenced by this work. Works that reference this work
Hesman, T (1999). Randomness rules. The Dallas Morning News, August 9. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Hickman, MJ and Rice, SK (2010). Digital Analysis of Crime Statistics: Does Crime Conform to Benford’s Law?. Journal of Quantitative Criminology 26(3), 333-349. View Complete Reference Online information Works that this work references Works that reference this work
Hill, TP (1988). Random-Number Guessing and the First Digit Phenomenon. Psychological Reports 62(3): 967-971. ISSN:0033-2941. View Complete Reference No online information available Works that this work references Works that reference this work
Hill, TP (1995). A Statistical Derivation of the Significant-Digit Law. Statistical Science 10(4), 354-363. ISSN:0883-4237. View Complete Reference Online information Works that this work references Works that reference this work
Hill, TP (1995). The Significant-Digit Phenomenon. American Mathematical Monthly 102(4), 322-327. ISSN:0002-9890. View Complete Reference Online information Works that this work references Works that reference this work
Hill, TP (1995). Base-Invariance Implies Benford's Law. Proceedings of the American Mathematical Society 123(3), 887-895. ISSN:0002-9939. View Complete Reference Online information Works that this work references Works that reference this work
Hill, TP (1996). A note on distributions of true versus fabricated data. Perceptual and Motor Skills 83, 776-778 Part 1. ISSN:0031-5215. View Complete Reference Online information Works that this work references Works that reference this work
Hill, TP (1997). Benford law. Encyclopedia of Mathematics Supplement, vol. 1, 102-103. View Complete Reference Online information Works that this work references Works that reference this work
Hill, TP (1998). The First-Digit Phenomenon. American Scientist 86 (4), 358-363. ISSN:0003-0996. View Complete Reference Online information Works that this work references Works that reference this work
Hill, TP (1999). Le premier chiffre significatif fait sa loi. La Recherche Hors Serie 316, 72-74. View Complete Reference Online information Works that this work references Works that reference this work
Hill, TP (1999). The difficulty of faking data. Chance 12(3), 27-31. View Complete Reference Online information Works that this work references Works that reference this work
Hill, TP (2001). Response to "Benfords Gesetz", Brief an die Herausgeber. Mitteilungen der Deutschen Mathematiker Vereinigung, 3/2001, p 4. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Hill, TP (2011). Benford's Law Blunders. Letter to the Editor, The American Statistician, May 2011, Vol. 65, No. 2, p. 141. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Hill, TP and Schürger, K (2005). Regularity of digits and significant digits of random variables. Journal of Stochastic Processes and their Applications 115(10), 1723-1743. ISSN:0304-4149. DOI:10.1016/j.spa.2005.05.003. View Complete Reference Online information Works that this work references Works that reference this work
Hoare, GTQ and Wright, EE (1986). The distribution of first significant digits. Math. Gazette 70(451), 34-37. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Hobza, T and Vajda, I (2001). On the Newcomb-Benford law in models of statistical data. Revista Matematica Complutense XIV(2), 407-420. ISSN:1139-1138. View Complete Reference Online information Works that this work references Works that reference this work
Holz, C (2013). The Quality of China's GDP Statistics. Munich Personal RePEc Archive Paper No. 51864; available online at http://mpra.ub.uni-muenchen.de/51864/; last accessed June 23, 2014. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Holzer, S and Sempi, C (1986). A remark on metrics for finitely additive distribution functions. Stochastica 10(2), 191-194. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Horgan, J (2011). An introduction with computer science applications. Section 9.4 of Probability with R pp. 142-144, John Wiley & Sons . ISSN:978-0-470-28073-7. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Horn, B, Kreuzer, M, Kochs, EF and Schneider, G (2006). Different states of anesthesia can be detected by Benford's Law. Journal of Neurosurgical Anesthesiology 18(4), 328-329. View Complete Reference Online information Works that this work references Works that reference this work
Hoyle, DC, Rattray, M, Jupp, R and Brass, A (2002). Making sense of microarray data distributions. Bioinformatics 18(4), 576-584. ISSN:1367-4803. View Complete Reference Online information Works that this work references Works that reference this work
Hsü, EH (1948). An Experimental Study on "Mental Numbers" and a New Application. The Journal of General Psychology 38, 57-67. View Complete Reference Online information Works that this work references Works that reference this work
Huang, SM, Yen, DC, Yang, LW and Hua, JS (2008). An investigation of Zipf's Law for fraud detection. Decision Support Systems 46(1), 70-83. View Complete Reference Online information Works that this work references Works that reference this work
Huber, E (2008). Digitale Ziffernanalyse versus Strukturanalyse und die logische Herleitung von Benford (NBL) – Teil I. Die steuerliche Betriebsprüfung 9, 241-248. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Huber, E (2008). Digitale Ziffernanalyse versus Strukturanalyse und die logische Herleitung von Benford (NBL) – Teil II. Die steuerliche Betriebsprüfung 10, 273-282. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Hubert, JJ (1981). General Bibliometric Models. Library Trends 30(1), 65-81. ISSN:0024-2594. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Humenberger, H (1996). Das Benford-Gesetz über die Verteilung der ersten Ziffer von Zahlen. Stochastik in der Schule 16(3), 2–17. View Complete Reference Online information Works that this work references Works that reference this work
Humenberger, H (1997). Eine Ergänzung zum Benford-Gesetz — weitere mögliche schulrelevante Aspekte. Stochastik in der Schule 17(3), 42–48. View Complete Reference Online information Works that this work references Works that reference this work
Humenberger, H (2000). Das Benford-Gesetz—warum ist die Eins als führende Ziffer von Zahlen bevorzugt?. In: Henn, HW, Förster, F and Meyer, J (eds.), Materialien für einen realitätsbezogenen Mathematikunterricht, Band 6, 138–150. Schriftenreihe der ISTRON-Gruppe, Franzbecker, Hildesheim. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Humenberger, H (2008). Eine elementarmathematische Begründung des Benford-Gesetzes. Der Mathematikunterricht 54(1), 24-34. View Complete Reference Online information Works that this work references Works that reference this work
Hungerbühler, N (2007). Benfords Gesetz über führende Ziffern: Wie die Mathematik Steuersündern das Fürchten lehrt. EducETH. View Complete Reference Online information Works that this work references Works that reference this work
Hürlimann, W (2003). A generalized Benford law and its application. Advances and Applications in Statistics 3(3), 217-228. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Hürlimann, W (2004). Integer powers and Benford’s law. International Journal of Pure and Applied Mathematics 11(1), 39-46. View Complete Reference No online information available No Bibliography works referenced by this work. Works that reference this work
Hürlimann, W (2006). Benford's Law from 1881 to 2006: A Bibliography. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Hürlimann, W (2009). Generalizing Benford’s law using power laws: application to integer sequences. International Journal of Mathematics and Mathematical Sciences, Article ID 970284, 10 p. View Complete Reference Online information Works that this work references Works that reference this work
Huxley, SJ (2001). Why Benford's Law works and How to do digit analysis on spreadsheets. University of San Francisco website. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Idrovo, AJ, Bojórquez-Chapela, I, Fernández-Niño, JA and Moreno-Montoya, J (2011). Performance of public health surveillance systems during the influenza A(H1N1) pandemic in the Americas: testing a new method based on Benford's Law. Epidemiol. Infect. 139(12), pp. 1827-34. ISSN:1469-4409. DOI:10.1017/S095026881100015X. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Intilla, F (2009). New Pattern Found in Prime Numbers. Mathematics, News & Press - A Blog by F. Intilla; posted May 10. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Irmay, S (1997). The relationship between Zipf's law and the distribution of first digits. Journal of Applied Statistics 24(4), 383-393. ISSN:0266-4763. View Complete Reference Online information Works that this work references Works that reference this work
Iudica, F (2012). Benford’s Law: Mathematical Properties and Forensic Accounting Applications. Master’s Thesis, Luiss Guido Carli University, Rome, Italy, 2012. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Iyengar, SS, Rajagopal, AK and Uppuluri, VRR (1983). String Patterns of Leading Digits. Applied Mathematics and Computation 12(4), 321-337. ISSN:0096-3003. View Complete Reference Online information Works that this work references Works that reference this work
Jager, H and Liardet, P (1988). Distribution arithmétiques des dénominateurs de convergents de fractions continues. Nederl. Akad. Wetensch. Indag. Math. 50(2), 181-197. View Complete Reference No online information available Works that this work references Works that reference this work
Jamain, A (2001). Benford’s Law. Master Thesis. Imperial College of London and ENSIMAG. View Complete Reference Online information Works that this work references Works that reference this work
Jang, D, Kang, JU, Kruckman, A, Kudo, J and Miller, SJ (2008). Chains of distributions, hierarchical Bayesian models and Benford's Law. Journal of Algebra, Number Theory: Advances and Applications 1(1), 37-60. View Complete Reference Online information Works that this work references Works that reference this work
Jann, B (2008). Multinomial goodness-of-fit: large sample tests with survey design correction and exact tests for small samples. The Stata Journal 8(2), 147-169. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Jansen, CJM and Pollman, MMW (2001). On round numbers: pragmatic aspects of numerical expressions. Journal of Quantitative Linguistics 8(3), 187-201. View Complete Reference Online information Works that this work references Works that reference this work
Janvresse, E (2009). Quel est le début de ce nombre ?. Images des Mathématiques, 26 December. FRE View Complete Reference Online information Works that this work references Works that reference this work
Janvresse, É (2012). Quelques contributions aux probabilités eta la théorie ergodique. Document de synthèse présenté pour l’Habilitation àDiriger des Recherches, l’université de Rouen. FRE View Complete Reference Online information Works that this work references No Bibliography works reference this work
Janvresse, E and de la Rue, T (2004). From Uniform Distributions to Benford’s Law. Journal of Applied Probability 41(4), 1203-1210. ISSN:0021-9002. View Complete Reference Online information Works that this work references Works that reference this work
Janvresse, É and de la Rue, T (2009). Benford’s law. (Catalan. Catalan summary). Butl. Soc. Catalana Mat., 24(1):5{12, 2009. Translated by Frederic Utzet. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Janvresse, É and de la Rue, T (2012). Averaging along Uniform Random Integers. Uniform Distribution Theory 7 (2012), no. 2, 35–60. View Complete Reference Online information Works that this work references Works that reference this work
Jasak, Z (2010). Benfordov zakon i reinforcement učenje (Benford's Law and reinforcment learning) . MSc Thesis, University of Tuzla, Bosnia. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Jasak, Z and Banjanovic-Mehmedovic, L (2008). Detecting Anomalies by Benford's Law. pp 453-458 in: IEEE International Symposium on Signal Processing and Information Technology, 2008. ISSPIT 2008. ISSN:978-1-4244-3554-8. View Complete Reference Online information Works that this work references Works that reference this work
Jech, T (1992). The Logarithmic Distribution of Leading Digits and Finitely Additive Measures. Discrete Mathematics 108(1-3), 53-57. ISSN:0012-365X. View Complete Reference Online information Works that this work references Works that reference this work
Joenssen, DW (2013). BenfordTests: Statistical Tests for Evaluating Conformity to Benford's Law.. R package version 1.1.1. http://CRAN.R-project.org/package=BenfordTests. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Joenssen, DW (2013). Two digit testing for Benford's Law. Proceedings of the ISI World Statistics Congress, 59th Session in Hong Kong. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Johnson, GG (2005). Financial Sleuthing Using Benford's Law to Analyze Quarterly Data with Various Industry Profiles. Journal of Forensic Accounting 6(2), 293-316. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Johnstone, P and Petry, FE (1994). Design and Analysis of Nonbinary Radix Floating-Point Representations. Computers & Electrical Engineering 20(1), 39-50. ISSN:0045-7906. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Jolion, JM (2001). Images and Benford's Law. Journal of Mathematical Imaging and Vision 14(1), 73-81. ISSN:0924-9907. View Complete Reference Online information Works that this work references Works that reference this work
Jolissaint, P (2005). Loi de Benford, relations de récurrence et suites équidistribuées. Elem. Math. 60, 10-18. View Complete Reference Online information Works that this work references Works that reference this work
Jolissaint, P (2009). Loi de Benford, relations de récurrence et suites équidistribuées II. Elem. Math. 64 (1), 21-36. View Complete Reference Online information Works that this work references Works that reference this work
Jones, BK (2002). Logarithmic distributions in reliability analysis. Microelectronics and Reliability, 42(4-5): 779-786. ISSN:0026-2714. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Judge, G and Schechter, L (2009). Detecting problems in survey data using Benford’s law. J. Human Resources 44, 1-24. DOI:0.1353/jhr.2009.0010. View Complete Reference Online information Works that this work references Works that reference this work
Kaczmarek, K (2008). Fun (and Fraud Detection) with Benford's Law. Kirix.com Data and the Web blog. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Kafri, O (2007). The Second Law as a Cause of the Evolution. Preprint arXiv: 0711.4507, 2007 - arxiv.org. View Complete Reference Online information Works that this work references Works that reference this work
Kafri, O (2009). Entropy Principle in Direct Derivation of Benford's Law. arXiv:0901.3047v2. View Complete Reference Online information Works that this work references Works that reference this work
Kak, SC (1983). Strings of first digits of powers of a number. Indian J. Pure Appl. Math. 14(7), 896-907. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Kanemitsu, S, Nagasaka, K, Rauzy, G and Shiue, JS (1988). On Benford’s law: the first digit problem. Lecture Notes in Mathematics 1299, 158-169 (eds. Watanabe, S, and Prokhorov, YV). View Complete Reference Online information Works that this work references Works that reference this work
Katz, TM and Cohen, DIA (1986). The first digit property for exponential sequences is independent of the underlying distribution. Fibonacci Quarterly 24(1), 2-7. View Complete Reference No online information available Works that this work references Works that reference this work
Kempf, D and Fischer, A (2008). Digitale Datenanalyse – ein adäquates Mittel zur Aufdeckung von Unregelmäßigkeiten in der Rechnungslegung. online document Universität Münster, Germany. View Complete Reference Online information Works that this work references Works that reference this work
Kendal, WS (2004). Taylor’s ecological power law as a consequence of scale invariant exponential dispersion models. Ecological Complexity 1(3), 193-209. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Kennard, R and Reith, J (1981). On the distribution of first digits. Communications in Statistics. Simulation and computation 10(1), 97-98. View Complete Reference No online information available Works that this work references Works that reference this work
Kennedy, S and Matthews, S (2013). China Data Suspected Says 75-Year-Old Theory: Cutting Research. Bloomberg News, January 10, 2013. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Khoshnevisan, M and Bhattacharya, S (2002). A short note on financial data set detection using neutrosophic probability. pp 74-79 in: Smarandache, F (ed), Proceedings of the first international conference on neutrosophy, neutrosophic logic, neutrosophic set, neutrosophic probability and statistics, University of New Mexico - Gallup, Dec 2001. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Khosravani, A and Rasinariu, C (2012). Transformation invariance of Benford variables and their numerical modeling. Recent Researches in Automatic Control and Electronics - Proceedings of the 14th International Conference on Automatic Control, Modelling & Simulation (ACMOS '12) and Proceedings of the 11th International Conference on Microelectronics, Nanoelectronics, . ISSN:978-1-61804-080-0. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Khosravani, A and Rasinariu, C (2013). n-Digit Benford Distributed Random Variables. Advances and Applications in Statistics, 36, 119-130. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Kim, S (2012). Benford’s law in non-equilibrium processes: Droplet collisions case. Physica A: Statistical Mechanics and its Applications, Vol. 391, No. 20, pp. 4970–4975. DOI:10.1016/j.physa.2012.05.043. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Kinnunen, J and Koskela, M (2003). Who Is Miss World in Cosmetic Earnings Management? A Cross-National Comparison of Small Upward Rounding of Net Income Numbers among Eighteen Countries. Journal of International Accounting Research 2, 39-68. View Complete Reference Online information Works that this work references Works that reference this work
Kisets, D (2002). Informational optimality of decimal numeration system. Academic Open Internet Journal 6. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Klink, S and Henke, M (2004). Das Gesetz der ersten Ziffer. Projektarbeit im Rahmen des Fachwissenschaftlichen Seminars (Leitung: Prof. Dr. Maria Specovius-Neugebauer), Universität Kassel, Germany. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Knopfmacher, J (1981). Initial digits in number theory. Fibonacci Quarterly 19(2), 121-126. View Complete Reference No online information available Works that this work references Works that reference this work
Knudsen, T (2001). Zipf’s Law for Cities and Beyond - The Case of Denmark. American Journal of Economics and Sociology 60(1), 123-146. ISSN:0002-9246. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Knuth, DE (1997). The Art of Computer Programming. pp 253-264, vol. 2, 3rd ed, Addison-Wesley, Reading, MA. View Complete Reference No online information available Works that this work references Works that reference this work
Komulainen, T (2004). Self-similarity and power laws. Heikki Hyötyniemi (ed.): Complex Systems - Science on the Edge of Chaos. Helsinki University of Technology, Control Engineering Laboratory, Report 145, 2004. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Konheim, AG (1965). Mantissa distribution. Mathematics of Computation 19, 143-144. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Kontorovich, AV and Miller, SJ (2005). Benford's Law, Values of L-functions and the 3x+ 1 Problem. Acta Arithmetica 120(3), 269-297. ISSN:0065-1036. View Complete Reference Online information Works that this work references Works that reference this work
Koppisch, D, Van Gelder, R and Gabriel, S (2013). Benford's law and the quality of data . Inhaled Particles XI (IPXI). 23.-25. September 2013, Nottingham/Great Britain – Poster . View Complete Reference Online information Works that this work references No Bibliography works reference this work
Koppisch, D, Van Gelder, R, Gabriel, S and Stamm, R (2014). Benford's law and the quality of occupational hygiene data. Ann Occup Hyg. 58(3), pp. 397-400. DOI:10.1093/annhyg/meu003. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Koskivaara, E (2004). Artificial neural networks in analytical review procedures. Managerial Auditing Journal 19(2), 191-223. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Kossovsky, AE (2006). Towards a Better Understanding of the Leading Digits Phenomena. arXiv:math/0612627. View Complete Reference Online information Works that this work references Works that reference this work
Kossovsky, AE (2006). Towards A Better Understanding Of The Leading Digits Phenomena. arXiv:math/0612627. Last updated Oct 31, 2012. View Complete Reference Online information Works that this work references Works that reference this work
Kottke, J (2006). Catching cheaters with Benford's Law . http://www.kottke.org/06/02/catching-cheaters-with-benfords-law. View Complete Reference Online information Works that this work references Works that reference this work
Kozlov, VV (2005). Weighted averages, uniform distribution, and strict ergodicity. Russian Mathematical Surveys 60(6), 1121-1146. ISSN:0036-0279. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Krakar, Z and Žgela, M (2009). Evaluation of Benford's Low Application in Stock Prices and Stock Turnover. Informatologia 42(3), pp. 158-165. View Complete Reference Online information Works that this work references Works that reference this work
Kreifelts, T (1973). Optimal Choice of Basis for a Floating-Point Arithmetic [Optimale Wahl für eine Gleitkomma-Arithmetik] . Computing 11(4), 353-363. ISSN:0010-485X. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Kreiner, WA (2002). First digit law. Preprint, Universität Ulm. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Kreiner, WA (2003). On the Newcomb-Benford Law. Zeitschrift für Naturforschung Section A - A Journal of Physical Sciences 58(11), 618-622. ISSN:0932-0784. View Complete Reference Online information Works that this work references Works that reference this work
Krengel, U (2005). Die Anfangszifferverteilung. pp 136-137 in: Einführung in die Wahrscheinlichkeitstheorie und Statistik, 8th ed, Vieweg und Sohn, Wiesbaden. ISSN:ISBN 3-8348-0063-5. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Kreuzer, M, Jordan, D, Antkowiak, B, Drexler, B, Kochs, EF and Schneider, G (2014). Brain electrical activity obeys Benford's law. Anesth. Analg. 118(1), pp. 183-91. DOI:10.1213/ANE.0000000000000015. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Kriel, E (2008). Technology Solutions to Detect Fraud. Paper 158-2008, SAS Global Forum 2008. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Kuipers, L (1969). Remark on a paper by R.L. Duncan concerning the uniform distribution mod 1 of the sequence of the logarithms of the Fibonacci numbers. Fibonacci Quarterly 7, 465-466, 473. View Complete Reference No online information available Works that this work references Works that reference this work
Kuipers, L and Niederreiter, H (1974). Uniform Distribution of Sequences. J. Wiley; newer edition - 2006 from Dover, isbn 0486450198. View Complete Reference Online information Works that this work references Works that reference this work
Kuipers, L and Shiue, JS (1973). Remark on a paper by Duncan and Brown on the sequence of logarithms of certain recursive sequences. Fibonacci Quarterly 11(3), 292-294. View Complete Reference No online information available Works that this work references Works that reference this work
Kulikova, AA and Prokhorov, YV (2005). Completely asymmetric stable laws and Benford’s law. Theory of Probability and its Application 49(1), 163-169. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Kumar, K and Bhattacharya, S (2003). Benford’s law and its application in financial fraud detection. Advances in Financial Planning and Forecasting 11, 57-70. View Complete Reference No online information available No Bibliography works referenced by this work. Works that reference this work
Kumar, K and Bhattacharya, S (2007). Detecting the dubious digits: Benford’s law in forensic accounting. Significance 4(2), 81-83. View Complete Reference Online information Works that this work references Works that reference this work
Kunoff, S (1987). N! has the first digit property. Fibonacci Quarterly 25, 365-367. View Complete Reference No online information available Works that this work references Works that reference this work
Lagarias, JC and Soundararajan, K (2006). Benford's law for the 3x+1 function. Journal of the London Mathematical Society 74, 289-303. ISSN:0024-6107. View Complete Reference Online information Works that this work references Works that reference this work
Laherrère, J (1996). Distributions de type “fractal parabolique” dans la Nature. Comptes Rendus de l‘Academie des Sciences 322, Serie II a, no. 7, 535-541. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Lanza, R (2000). Using Digital Analysis To Detect Fraud: Review of the DATAS Statistical Analysis Tool. Journal of Forensic Accounting 1, 291-296. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Lavelle, L (1999). Got your number. The Record, August 15, Bergen County, NJ, USA. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Lebiere, C (1999). The dynamics of cognition: an ACT-R model of cognitive arithmetic. Kognitionswissenschaft 8(1), 5-19. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lee, J, Cho, WKT and Judge, G (2010). Stigler’s approach to recovering the distribution of first significant digits in natural data sets. Statistics and Probability Letters 80(2), 82-88. View Complete Reference Online information Works that this work references Works that reference this work
Lee, J and Judge, GC (2008). Identifying falsified clinical data. CUDARE working paper 1073, University of California, Berkeley. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Leemann, L and Bochsler, D (2014). A systematic approach to study electoral fraud. Electoral Studies, Vol. 35, Num. 0, pp.33-47. ISSN:0261-3794. DOI:http://dx.doi.org/10.1016/j.electstud.2014.03.005. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Leemis, LM and McQueston, JT (2008). Univariate distribution relationships. American Statistician 62(1), 45-53. ISSN:0003-1305. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Leemis, LM, Schmeiser, BW and Evans, DL (2000). Survival Distributions Satisfying Benford's Law. American Statistician 54(4), 236-241. ISSN:0003-1305. View Complete Reference Online information Works that this work references Works that reference this work
Lei, S, Smith, M and Succi, G (2000). Empirical investigation of a novel approach to check the integrity of software engineering measuring processes. The 22nd International Conference on Software Engineering, Limerick, Ireland. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Leibon, G (2004). Google numbers. Chance News 13.03. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Lemons, DS (1986). On the Numbers of Things and the Distribution of first Digits. American Journal of Physics 54(9): 816-817. ISSN:0002-9505. View Complete Reference Online information Works that this work references Works that reference this work
Lesser, L and Glickman, M (2009). Using magic in the teaching of probability and statistics. Model Assisted Statistics and Applications 4, 265-274. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lévy, P (1939). L'addition des variables aléatoires définies sur une circonférence. Bull. Soc. Math. France 67, 1-41. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Ley, E (1996). On the Peculiar Distribution of the US Stock Indexes' Digits. American Statistician 50(4), 311-313. ISSN:0003-1305. View Complete Reference Online information Works that this work references Works that reference this work
Leydesdorff, L and Bensman, S (2006). Classification and powerlaws: The logarithmic transformation. Journal of the American Society for Information Science and Technology 57(11), 1470-1486. ISSN:1532-2882. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Li, Z, Cong, L and Wang, H (2004). Discussion on Benford’s law and its application. http://arxiv.org/abs/math.ST/0408057. View Complete Reference Online information Works that this work references Works that reference this work
Li, Z, Cong, L and Wang, H (2004). Discussion on Benford's Law and its Application. arXiv preprint math/0408057, 2004 - arxiv.org. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lim Kai Jie, S and Kalaichelvan, M (2012). A Critical Evaluation of the Significance of Round Numbers in European Equity Markets in Light of the Predictions from Benford's Law. International Research Journal of Finance and Economics No. 95 (2012) pp. 196-210. ISSN:1450-2887. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lin, F, Chang, C and Wu, S (2009). A study on the relationship between related party transactions and monthly sales in Taiwan's publicly issued companies. to appear in: Journal of the Chinese Institute of Industrial Engineers. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lin, F, Guan, L and Fang, W (2009). Heaping In Reported Earnings: Evidence from Monthly Financial Reports of Taiwanese Firms. View Complete Reference Online information Works that this work references Works that reference this work
Lin, F and Wu, S-F (2014). Comparison of cosmetic earnings management for the developed markets and emerging markets: Some empirical evidence from the United States and Taiwan. Economic Modelling, Vol. 36, pp. 466–473. DOI:10.1016/j.econmod.2013.10.002. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lindsay, DH, Foote, PS, Campbell, A and Reilly, DP (2004). Detecting fraud in the data using automatic intervention detection. Fraud Magazine. A Publication of the Association of Certified Fraud Examiners, January/February 2004. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lindsay, J (2006). Benford's law and numbers in the Book of Mormon. Mormanity blogspot, posted April 1, 2006 http://mormanity.blogspot.com/2006/04/benfords-law-and-numbers-in-book-of.html. View Complete Reference Online information Works that this work references Works that reference this work
Linville, M (2008). Introducing digit analysis with an interactive class exercise. Academy of Educational Leadership Journal 12(3), 55-69. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Linz, D (2003). Benfords Gesetz. Math. Naturwiss. Unterr. 56(1), 31-32. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Lipovetsky, S (2008). Comparison among different patterns of priority vectors estimation methods. International Journal of Mathematical Education in Science 39(3), 301-311. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lippert, E (2005). Benford's Law. Eric Lippert’s Blog - Fabulous Adventures In Coding; last accessed 09May2014. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Liu, L-G and Lam, L (2013). Greater China Weekly Insight. ANZ Tech Report, Jan 8, 2013. View Complete Reference No online information available Works that this work references Works that reference this work
Livio, M (2002). The Golden Ratio: The Story of Phi, the World’s Most Astonishing Number. New York: Broadway Books, pp. 232-236. View Complete Reference Online information Works that this work references Works that reference this work
Logan, JL and Goudsmit, SA (1978). The First Digit Phenomenon. Proceedings of the American Philosophical Society 122(4), 193-197. ISSN:0003-049X. View Complete Reference Online information Works that this work references Works that reference this work
Lolbert, T (2006). Digital Analysis: Theory and Applications in Auditing. Hungarian Statistical Review 84, Special number 10. ISSN:0039 0690. View Complete Reference Online information Works that this work references Works that reference this work
Lolbert, T (2007). Statisztikai eljárások alkalmazása az ellenőrzésben (Applications of statistical methods in monitoring). PhD thesis, Corvinus University, Budapest, Hungary. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lolbert, T (2008). On the non-existence of a general Benford's law. Mathematical Social Sciences 55(2), 103-106. ISSN:0165-4896. View Complete Reference Online information Works that this work references Works that reference this work
Lopez, J (2006). La prueba del último dígito. Prepint University of Texas El Paso. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lowe, R (2000). Benford's Law and fraud detection. Chartered Accountants Journal of New Zealand 79(10), 32-36. ISSN:1172-9929. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Lowe, R (2000). When Benford's law is broken. Chartered Accountants Journal of New Zealand 79(11), 24-27. ISSN:1172-9929. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Lowe, T, Murphy, S and Hayward, J (1999). The first digit law. Preprint. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lu, F (2007). Uncovering Fraud in Direct Marketing Data with a Fraud Auditing Case Builder. Lecture Notes in Computer Science 4702, 540-547. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lu, F and Boritz, JE (2005). Detecting Fraud in Health Insurance Data: Learning to Model Incomplete Benford’s Law Distributions. Machine Learning: ECML 2005 (Proceedings). Lecture Notes in Artificial Intelligence 3270, 633-640. ISSN:0302-9743. View Complete Reference Online information Works that this work references Works that reference this work
Lu, F, Boritz, JE and Covvey, D (2006). Adaptive Fraud Detection Using Benford’s Law. Advances in Artificial Intelligence Lecture Notes in Computer Science Volume 4013, pp. 347-358. ISSN:978-3-540-34628-9. DOI:10.1007/11766247_30. View Complete Reference Online information Works that this work references Works that reference this work
Lu, OF and Giles, DE (2006). Benford's Law and Psychological Barriers in Certain eBay Auctions. Econometrics Working Paper EWP0606, University of Victoria. ISSN:1485-6441. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lu, T, Costello, CM, Croucher, PJP, Häsler, R, Deuschl, G and Schreiber, S (2005). Can Zipf's law be adapted to normalize microarrays?. BMC Bioinformatics 6, Art. No. 37. ISSN:1471-2105. View Complete Reference Online information Works that this work references Works that reference this work
Luque, B and Lacasa, L (2009). The first-digit frequencies of prime numbers and Riemann zeta zeros. Proc. Royal Soc. A, published online 22Apr09. View Complete Reference Online information Works that this work references Works that reference this work
Ma, D (2011). Benford’s Law and US Census Data, Parts I and II. WordPress.com Blog. Posted 25 Nov. 2011. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Maher, M and Akers, M (2002). Using Benford's Law to Detect Fraud in the Insurance Industry. International Business & Economics Research Journal 1(7), 2002, pp. 1-11. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Makous, W (2011). Biblical Longevities: Empirical Data or Fabricated Numbers?. Perspectives on Science and Christian Faith, Vol. 63, No. 2, pp. 117-130. View Complete Reference Online information Works that this work references Works that reference this work
Maney, K. (2000). Baffled by math? Wait 'til I tell you about Benford's Law. USA today, 18 October 2000. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Manoochehrnia, P, Rachidi, F, Rubinstein, M, Schulz, W and Diefendorfer, G (2010). Benford’s Law and Its Application to Lightning Data. IEEE Transactions on Electromagnetic Compatibility 52(4), 956-961. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Mansilla, R (2006). Análisis de los resultados electorales a partir de la Ley de Benford. preprint UNAM. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Mardia, KV (1972). The distribution of first significant digits. pp 92-93 in: Statistics of Directional Data, Academic Press. View Complete Reference Online information Works that this work references Works that reference this work
Markova, D, Njoh, L and Lloyd, M (2006). Benford's Law and the Bible. Preprint; electronic copy of talk, Proceedings of the OK-AR Section of the MAA. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Martín, AB (2003). Sistematización del proceso de depuración de los datos en estudios con seguimientos. PhD Thesis, Universitat Autònoma de Barcelona, Spain. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Massé, B and Schneider, D (2011). A survey on weighted densities and their connection with the first digit phenomenon. Rocky Mountain Journal of Mathematics 41(5), 1395-1415. ISSN:0035-7596. DOI:10.1216/RMJ-2011-41-5-1395. View Complete Reference Online information Works that this work references Works that reference this work
Massé, B and Schneider, D (2012). Random number sequences and the first digit phenomenon. Electronic Journal of Probability, Vol 17, Article 86, Pages: 1-17, DOI: 10.1214/EJP.v17-1900. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Matthews, R (1999). The Power of One. New Scientist 163, July 10, 26-30. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Matthews, R (2000). Benford bend: Benford's Law reflects a natural pattern in numbers--if it doesn't hold, there could be something amiss. World Link, May/June, pp. 10-12. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Matula, VV and Kornerup, P (1980). Foundations of Finite Precision Rational Arithmetic. pp 85-111 in: Alefeld, G, Grigorieff, RD (eds.) Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis), Computing Supplementum 2, Springer, Wien-New York. View Complete Reference No online information available Works that this work references Works that reference this work
McCloskey, M, Harley, W and Sokol, SM (1991). Models of Arithmetic Fact retrieval - An Evaluation in Light of Findings from Normal and Brain-Damaged Subjects. Journal of Experimental Psychology - Learning Memory and Cognition 17(3), 377-397. ISSN:0278-7393. View Complete Reference Online information Works that this work references Works that reference this work
McConville, DJ (1995). Benford’s law traps check fraud perps. Corporate Cashflow, Vol. 16, Iss. 9, September, pp 12. View Complete Reference No online information available No Bibliography works referenced by this work. Works that reference this work
McGregor, G (2009). Long arm of Benford's 'law' helps CRA track tax cheats. Last retrieved from Canada.com on 24 April 2014. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
McKee, TE (2006). Increase your fraud auditing effectiveness by being unpredictable!. Managerial Auditing Journal 21(2), 224-231. View Complete Reference Online information Works that this work references No Bibliography works reference this work
McLaughlin, WI and Lundy, SA (1984). Digit functions of integer sequences. Fibonacci Quarterly 22(2), 105-115. ISSN:0015-0517. View Complete Reference Online information Works that this work references Works that reference this work
Mebane, WR Jr (2006). Detecting Attempted Election Theft: Vote Counts, Voting Machines and Benford’s Law. Paper prepared for the 2006 Annual Meeting of the Midwest Political Science Association, Chicago, IL. View Complete Reference Online information Works that this work references Works that reference this work
Mebane, WR Jr (2006). Election Forensics: Vote Counts and Benford’s Law. Summer Meeting of the Political Methodology Society. View Complete Reference Online information Works that this work references Works that reference this work
Mebane, WR Jr (2006). Election Forensics: The Second-digit Benford’s Law Test and Recent American Presidential Elections. Proceedings of the Election Fraud Conference, Salt Lake City, Utah, September 29-30, 2006. View Complete Reference Online information Works that this work references Works that reference this work
Mebane, WR Jr (2007). Statistics for digits. 2007 Summer Meeting of the Political Methodology Society, Penn State University, University Park, PA. View Complete Reference Online information Works that this work references Works that reference this work
Mebane, WR Jr (2008). Election Forensics: The Second-digit Benford’s Law Test and Recent American Presidential Elections. pp 161-181 in: Alvarez, RM, Hall, TE and Hyde, SD (eds.), Election Fraud: Detecting and Deterring Electoral Manipulation. Brookings Press, Washington DC. View Complete Reference Online information Works that this work references Works that reference this work
Mebane, WR Jr (2008). Election Forensics: Outlier and Digit Tests in America and Russia. Prepared for presentation at The American Electoral Process conference, Center for the Study of Democratic Politics, Princeton University, May 1-3, 2008. View Complete Reference Online information Works that this work references Works that reference this work
Mebane, WR Jr (2009). Note on the presidential election in Iran, June 2009. updated notes on author's website. View Complete Reference Online information Works that this work references Works that reference this work
Mebane, WR Jr (2010). Fraud in the 2009 presidential election in Iran?. Chance 23(1), 6-15. View Complete Reference Online information Works that this work references Works that reference this work
Mebane, WR Jr (2010). Election Fraud or Strategic Voting? Can Second-digit Tests Tell the Difference?. Prepared for Presentation at the 2010 Summer Meeting of the Political Methodology Society. University of Iowa. View Complete Reference Online information Works that this work references Works that reference this work
Mebane, WR Jr (2011). Comment on “Benford's Law and the Detection of Election Fraud”. Political Analysis 19(3), 269-272. View Complete Reference Online information Works that this work references Works that reference this work
Mendez, PF, Furrer, R, Ford, R and Ordóñez, F (2008). Scaling laws as a tool of materials informatics. JOM Journal of the Minerals, Metals and Materials Society 60(3), 60-66. ISSN:1047-4838. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Mendez, PF and Ordonez, F (2005). Scaling Laws From Statistical Data and Dimensional Analysis. J. Appl. Mech. - Transactions of the ASME 72(5), 648-657. ISSN:0021-8936. View Complete Reference Online information Works that this work references Works that reference this work
Merberg, A and Miller, SJ (2008). The Cramér-Rao Inequality. Course Notes for Math 162: Mathematical Statistics. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Michalski, T and Stoltz, G (2013). Do Countries Falsify Economic Data Strategically? Some Evidence That They Might. The Review of Economics and Statistics, Vol. 95, No. 2, pp. 591-616. DOI:10.1162/REST_a_00274. View Complete Reference Online information Works that this work references Works that reference this work
Miller, SJ (2007). When the Cramér-Rao Inequality provides no information. Communications in Information and Systems 7(3), 265-272. View Complete Reference Online information Works that this work references Works that reference this work
Miller, SJ and Nigrini, MJ (2006). Order Statistics and Shifted Almost Benford Behavior. Preprint. View Complete Reference Online information Works that this work references Works that reference this work
Miller, SJ and Nigrini, MJ (2008). The Modulo 1 Central Limit Theorem and Benford's Law for Products. International Journal of Algebra 2(3), 119 - 130. View Complete Reference Online information Works that this work references Works that reference this work
Miller, SJ and Nigrini, MJ (2008). Order Statistics and Benford's Law. International Journal of Mathematics and Mathematical Sciences, Art. ID 382948, 19 pp.. ISSN:0161-1712. DOI:10.1155/2008/382948. View Complete Reference Online information Works that this work references Works that reference this work
Miller, SJ and Takloo-Bighash, R (2006). An invitation to modern number theory. Princeton University Press. View Complete Reference Online information Works that this work references Works that reference this work
Miller, SJ and Takloo-Bighash, R (2007). Introduction to Random Matrix Theory. From: An Invitation to Modern Number Theory, Princeton University Press. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Mir, TA (2011). Law of the leading digits and the ideological struggle for numbers. physics arXiv:1104.3948. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Mir, TA (2012). The law of the leading digits and the world religions. Physica A: Statistical Mechanics and its Applications, 391 (2012), 792-798. View Complete Reference Online information Works that this work references Works that reference this work
Mir, TA (2012). The leading digit distribution of the worldwide illicit financial flows. arXiv:1201.3432. View Complete Reference Online information Works that this work references Works that reference this work
Mir, TA (2014). The Benford law behavior of the religious activity data. To appear in Physica A. DOI:10.1016/j.physa.2014.03.074. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Misiolek, E (2003). Swarm simulations of the power law distribution models. Poster session submission. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Mitchell, J (2001). Clustering and psychological barriers: the importance of numbers. Journal of Futures Markets 21(5), 395-428. ISSN:0270-7314. View Complete Reference Online information Works that this work references Works that reference this work
Mlodinow, L (2008). The Duelling Laws of Large and Small Numbers. ch. 5, pp 83-84 in: The Drunkard's Walk - How Randomness Rules Our Lives, Vintage/Pantheon, New York. ISSN:Vintage 978-0-307-27. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Mochty, L (2002). Die Aufdeckung von Manipulationen im Rechnungswesen - Was leistet das Benford's Law?. Die Wirtschaftsprüfung 14, 725-736. View Complete Reference No online information available Works that this work references Works that reference this work
Möller, M (2009). Measuring the Quality of Auditing Services with the Help of Benford’s Law - An Empirical Analysis and Discussion of this Methodical Approach. E-print available at: http://ssrn.com/abstract=1529307; last accessed June 23, 2014. DOI:10.2139/ssrn.1529307. View Complete Reference Online information Works that this work references Works that reference this work
Montenegro, MALO (2006). Policing Pollution Control in the Philippines: Issues and Prospects. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Moore, GB and Benjamin, CO (2004). Using Benford's Law for fraud detection. Internal Auditing 19(1), 4-9. View Complete Reference Online information Works that this work references Works that reference this work
Moret, MA, de Senna, V, Pereira, MG and Zebende, GF (2006). Newcomb-Benford law in astrophysical sources. International Journal of Modern Physics C 17(11), 1597-1604. ISSN:0129-1831. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Morrison, KE (2010). The Multiplication Game. Mathematics Magazine 83, 100-110. ISSN:0025-570X. View Complete Reference Online information Works that this work references Works that reference this work
Morrow, J (2010). Benford's Law, Families of Distributions and a Test Basis. unpublished manuscript. View Complete Reference Online information Works that this work references Works that reference this work
Mörters, P (2001). Benford’s Gesetz über die Verteilung der Ziffern. Habilitationsvorlesung. Kaiserslauten und Bath. View Complete Reference Online information Works that this work references Works that reference this work
Moser, L and Macon, N (1950). On the distribution of first digits of powers. Scripta Mathematica 16, 290-292. View Complete Reference Online information Works that this work references Works that reference this work
Mosimann, JE, Wiseman CV and Edelman RE (1995). Data fabrication: Can people generate random digits?. Accountability in Research: Policies and Quality Assurance 4(1), 31-55. View Complete Reference Online information Works that this work references Works that reference this work
Motahari, AM (2013). Benford’s Law and the numerical structure of Quran. accessed April 16, 2014 at: http://submission.org/Benford.html. View Complete Reference Online information Works that this work references Works that reference this work
Müller, HC (2009). Auf der Jagd nach Zahlen-Fälschern. Handelsblatt: Düsseldorf 30.11.2009. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Müller, M (2003). Anwendungsmöglichkeiten der Ziffernanalyse in der Prüfungspraxis mit Schwerpunkt auf Benford’s Law. Diploma thesis, WU Wien, Austria. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Murphy, J, Baxter, R, Eyerman, J, Cunningham, D and Kennet, J (2004). A system for detecting interviewer falsification. RTI International at 59th Annual AAPOR Conference, Phoenix, Arizona. View Complete Reference Online information Works that this work references Works that reference this work
Nagasaka, K (1984). On Benford's Law. Annals of the Institute of Statistical Mathematics 36(2), 337-352. ISSN:0020-3157. View Complete Reference Online information Works that this work references Works that reference this work
Nagasaka, K (2008). Benford’s Law to Base g of Order r in the Sense of a Certain Density. Short talk at: Colloque international sur la répartition uniforme, Marseille, January 2008. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Nagasaka, K, Kanemitsu, S and Shiue, JS (1990). Benford’s law: The logarithmic law of first digit. pp 361-391 in: Győry, K, Halász, G. (eds.) Number theory. Vol. I. Elementary and analytic, Proc. Conf., Budapest/Hung. 1987, Colloq. Math. Soc. János Bolyai 51. View Complete Reference No online information available Works that this work references Works that reference this work
Nagasaka, K and Shiue, JS (1986). Benford’s law for linear recurrence sequences. pp 33-54 in: Transcendental numbers and related topics. Proceedings of the Symposium in Kyoto, April 23-25, 1986, by Research Institute for Mathematical Sciences. Kyoto: Kyoto University. View Complete Reference No online information available No Bibliography works referenced by this work. Works that reference this work
Nagasaka, K and Shiue, JS (1987). Benford's law for linear recurrence sequences. Tsukuba Journal of Mathematics 11(2), 341-351. View Complete Reference No online information available Works that this work references Works that reference this work
Nebel, J-C and Pezzulli, S (2012). Distribution of Human Genes Observes Zipf's Law. Kingston University Research & Innovation Reports (KURIR), Vol. 8, 2012. ISSN:1749-5652. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Nelson, LS (1984). Display Tables and Significant Digits. Journal of Quality Technology 16(3), 175-176. ISSN:0022-4065. View Complete Reference Online information Works that this work references Works that reference this work
Newcomb, S (1881). Note on the frequency of use of the different digits in natural numbers. American Journal of Mathematics 4(1), 39-40. ISSN:0002-9327. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Nguyen, HT, Kreinovich, V and Longpré, L (2003). Dirty pages of logarithm tables, lifetime of the universe, and subjective (fuzzy) probabilities on finite and infinite intervals. The 12th IEEE International Conference on Fuzzy Systems. FUZZ’03. Fuzzy Systems 1, 67-73. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Nguyen, HT, Kreinovich, V and Longpré, L (2004). Dirty Pages of Logarithm Tables, Lifetime of the Universe, and (Subjective) Probabilities on Finite and Innite Intervals. Reliable Computing 10(2), 83-106. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Ni, D and Ren, Z (2008). Benford’s law and half-lives of unstable nuclei. Eur. Phys. J. A 38, 251–255. View Complete Reference Online information Works that this work references Works that reference this work
Ni, D, Wei, L and Ren, Z (2009). Benford's Law and β-Decay Half-Lives. Commun. Theor. Phys. 51, 713-716. View Complete Reference Online information Works that this work references Works that reference this work
Niederreiter, H and Philipp, W (1973). Berry-Esseen bounds and a theorem of Erdős and Turàn on uniform distribution mod 1. Duke Mathematical Journal 40(3), 633-649. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Nigrini, MJ (1992). The Detection of Income Tax Evasion Through an Analysis of Digital Frequencies. PhD thesis, University of Cincinnati, OH, USA. View Complete Reference Online information Works that this work references Works that reference this work
Nigrini, MJ (1993). Can Benford's law be used in forensic accounting?. The Balance Sheet (June), 7-8. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Nigrini, MJ (1994). Using digital frequencies to detect fraud. Fraud Magazine, The White Paper Index 8(2), 3-6. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Nigrini, MJ (1996). A taxpayer compliance application of Benford’s law. Journal of the American Taxation Association 18(1), 72-91. View Complete Reference Online information Works that this work references Works that reference this work
Nigrini, MJ (1996). Digital Analysis and the Reduction of Auditor Litigation Risk. Proceedings of the 1996 Deloitte & Touche / University of Kansas Symposium on Auditing Problems, ed. M. Ettredge, University of Kansas, Lawrence, KS, pp. 69-81. View Complete Reference Online information Works that this work references Works that reference this work
Nigrini, MJ (1998). Numerology for Accountants. Journal of Accountancy 186(5), November 1998, p. 15. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Nigrini, MJ (1999). I’ve got your number. Journal of Accountancy 187(5), 79-83. View Complete Reference Online information Works that this work references Works that reference this work
Nigrini, MJ (1999). Adding value with digital analysis. The Internal Auditor 56(1), 21-23. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Nigrini, MJ (1999). Peculiar patterns of first digits. IEEE Potentials 18(2), 24-27. View Complete Reference Online information Works that this work references Works that reference this work
Nigrini, MJ (2000). Digital Analysis Using Benford's Law: Tests Statistics for Auditors. Global Audit Publications, Vancouver, Canada. View Complete Reference No online information available No Bibliography works referenced by this work. Works that reference this work
Nigrini, MJ (2000). Continuous Auditing. Preprint. View Complete Reference Online information Works that this work references Works that reference this work
Nigrini, MJ (2005). An Assessment of the Change in the Incidence of Earnings Management Around the Enron-Andersen Episode. Review of Accounting and Finance 4, 92-110. View Complete Reference Online information Works that this work references Works that reference this work
Nigrini, MJ (2011). Forensic Analytics: Methods and Techniques for Forensic Accounting Investigations. John Wiley & Sons, Hoboken, New Jersey. ISSN:978-0-470-89046-2. View Complete Reference No online information available Works that this work references Works that reference this work
Nigrini, MJ (2012). Benford's Law: Applications for Forensic Accounting, Auditing, and Fraud Detection . John Wiley & Sons, Hoboken, New Jersey. ISSN:978-1-118-15285-0. View Complete Reference No online information available Works that this work references Works that reference this work
Nigrini, MJ and Miller, SJ (2007). Benford’s Law Applied to Hydrology Data—Results and Relevance to Other Geophysical Data. Mathematical Geology 39(5), 469-490. ISSN:0882-8121. View Complete Reference Online information Works that this work references Works that reference this work
Nigrini, MJ and Miller, SJ (2009). Data Diagnostics Using Second-Order Tests of Benford's Law. Auditing: A Journal of Practice & Theory 28(2), 305-324. View Complete Reference Online information Works that this work references Works that reference this work
Nigrini, MJ and Mittermaier, LJ (1997). The use of Benford's Law as an aid in analytical procedures. Auditing - A Journal of Practice & Theory 16(2), 52-67. ISSN:0278-0380. View Complete Reference Online information Works that this work references Works that reference this work
Nillsen, R (2010). Randomness and Recurrence in Dynamical Systems: a real analysis approach. Carus Monograph #31, Mathematical Association of America. ISSN:978-0-88385-043-5. DOI:10.5948/UPO9781614440000. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Nilsson, J (1998). Ständigt dessa ettor .... Dagens Nyheter, November 8. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Niskanen, J and Keloharju, M (2000). Earnings cosmetics in a tax-driven accounting environment: evidence from Finnish public firms. European Accounting Review 9(3), 443-452. View Complete Reference Online information Works that this work references Works that reference this work
Noma, E and Baird, JC (1975). Psychophysical study of numbers: II. Theoretical models of number generation. Psychological Research 38 (1), 81-95. View Complete Reference Online information Works that this work references Works that reference this work
Nordtvedt, K (2001). Earth’s equivalence principle violating multipoles: more science from a robust violation signal in STEP . Classical and Quantum Gravity 18(13), 2467-2473. ISSN:0264-9381. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Nye, J and Moul, C (2007). The Political Economy of Numbers: On the Application of Benford's Law to International Macroeconomic Statistics. The BE Journal of Macroeconomics 7(1). View Complete Reference Online information Works that this work references Works that reference this work
O'Brien, C (2003). Working Group on Methods on Fish Stock Assessments. ICES CM 2003/D:03 Ref. ACFM, G. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Odenthal, R (2006). Digitale Ziffern- und Zahlenanalysen. online document at Roger Odenthal Unternehmensberatung. GER View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Odueke, A and Weir, GRS (2012). Triage in Forensic Accounting using Zipf's Law. Issues in Cybercrime, Security and Digtal Forensics. Edited by G. R. S. Weir and A. Al-Nemrat. Glasgow. University of Strathclyde Publishing. 2012. pp. 33-43. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Oleksy, M (2010). Data Mining und Benford's Law als Controllinginstrumente. Band 45, Wismarer Schriften zu Management und Recht, Europäischer Hochschulverlag, Bremen. ISSN:978-3867414-40. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Olver, FWJ (1982). Further Developments of Rp and Ap Error Analysis. IMA Journal of Numerical Analysis 2(3), 249-274. ISSN:0272-4979. View Complete Reference Online information Works that this work references Works that reference this work
Oriol, JC (2007). Formation à la statistique par la pratique d'enquêtes par questionnaires et la simulation: étude didactique d'une experience d'enseignment dans u department d'IUT. Ph.D. Thesis, Université Lumière, Lyon, France. View Complete Reference Online information Works that this work references Works that reference this work
Oriol, JC and Regnier, JC (2007). La Loi de Benford et la Pratique d'enquêtes: Un Exemple de Situations Didactiques en Statistique Journees. Journées SFdS 2004. View Complete Reference Online information Works that this work references Works that reference this work
Orita, M, Hagiwara, Y, Moritomo, A, Tsunoyama, K, Watanabe, T and Ohno, K (2013). Agreement of drug discovery data with Benford's law. Expert Opinion on Drug Discovery 8(1), pp. 1-5. DOI:10.1517/17460441.2013.740007. View Complete Reference Online information Works that this work references Works that reference this work
Orita, M, Moritomo, A, Niimi, T and Ohno, K (2010). Use of Benford's law in drug discovery data. Drug Discovery Today, Vol. 15, Nos. 9–10, pp. 328–331. ISSN:1359-6446. DOI:10.1016/j.drudis.2010.03.003. View Complete Reference Online information Works that this work references Works that reference this work
Oteo, JA and Ros, J (2007). Double precision errors in the logistic map: Statistical study and dynamical interpretation. Physical Review E 76(3), Art. No. 036214. ISSN:1539-3755. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Otey, ME (2006). Approaches to Abnormality Detection with Constraints. PhD thesis, The Ohio State University, USA. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Overhoff, G (2011). The Impact and Reality of Fraud Auditing - Benford's Law: Why and How To Use It. Course for 22nd Annual ACFE Fraud Conference and Exhibition. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Pain, J-C (2013). Regularities and symmetries in atomic structure and spectra. High Energy Density Physics, Vol. 9, No. 3, pp. 392–401. DOI:10.1016/j.hedp.2013.04.007. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Pain, JC (2008). Benford’s law and complex atomic spectra. Physical Review E 77(1): Art. No. 012102. ISSN:1539-3755. View Complete Reference Online information Works that this work references Works that reference this work
Pan, D, Shao, L and Ma, BQ (2010). Benford's Law in Statistical Physics. Wolfram Online Demonstrations Projects. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Parasote, V (1999). Fraudeurs, méfiez-vous du 6!. science & vie junior, August, 20-21. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Patil, N, Mahadevan, P and Chatterjee, A (2008). A constructive empirical theory for metal fatigue under block cyclic loading. Proceedings of the Royal Society A - Mathematical Physical and Engineering Sciences 464, 1161-1179. ISSN:1364-5021. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Patil, SA and Uppuluri, VRR (1986). The distribution of first j digits. College Mathematical Journal 17(3), 240-243. View Complete Reference Online information Works that this work references Works that reference this work
Paulos, JA (2003). Benford's Law and Looking Out for Number One. pp 72-74 in: A mathematician plays the stock market, Basic Books. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Paulos, JA (2007). Math Theory Offers Way to Detect Cooked Books. ABC News/Technology, 1 March. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Pavlov, AI (1982). On the distribution of fractional parts and Benford’s law. Math. USSR Izvestija 19(1), 65-77. English translation of: Izv. Akad. Nauk SSSR Ser. Mat., 1981, 45(4), 760–774. View Complete Reference Online information Works that this work references Works that reference this work
Perez-Gonzalez, F, Heileman, GL and Abdallah, CT (2007). Benford's Law in Image Processing. Image Processing, pp I-405 - I-408. ICIP 2007. IEEE International Conference. ISSN:1522-4880. View Complete Reference Online information Works that this work references Works that reference this work
Pericchi, L and Torres, DA (2011). Quick anomaly detection by the Newcomb-Benford law, with applications to electoral processes data from the USA, Puerto Rico and Venezuela. Statistical Science 26(4), pp. 502-16. DOI:10.1214/09-STS296. View Complete Reference Online information Works that this work references Works that reference this work
Pericchi, LR and Torres, D (2004). La Ley de Newcomb-Benford y sus aplicaciones al Referendum Revocatorio en Venezuela. Reporte Técnico-definitivo 2a. versión: Octubre 01,2004. View Complete Reference Online information Works that this work references Works that reference this work
Périn, S (2007). The Constructal Nature of the Air Traffic System. Ch. 6 in: Bejan, A, Merkx, GW (eds): Constructal Theory of Social Dynamics, Springer 2007. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Perone, CS (2009). An analysis of Benford's Law applied to Twitter. Pyevolve, 11 August. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Perras, J (2006). Benford's Law. The Delta-Epsilon McGill Mathematics Magazine. ISSN:1911-9003. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Peter, M (2003). The asymptotic distribution of elements in automatic sequences. Theoretical Computer Science 301(1-3), 285-312. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Peters, JV (1981). An equivalent form of Benford's law. Fibonacci Quarterly 19(1), 74-76. ISSN:0015-0517. View Complete Reference No online information available Works that this work references Works that reference this work
Peters, JV (1981). A combinatoric proof of Benford's law. Aequationes Mathematicae 23(1), 122-123. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Peterson, I (1998). First Digits. Science News Online, Ivars Peterson's MathTrek, 27 June. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Petucci, SD (2005). Benford’s Law: Can It Be Used to Detect Irregularities in First Party Automobile Insurance Claims?. Journal of Economic Crime Management 3(1). View Complete Reference Online information Works that this work references No Bibliography works reference this work
Phillips, T (2009). Simon Newcomb and "Natural Numbers" (Benford's Law). American Mathematical Society Feature Column, Monthly Essays on Mathematical Topics. View Complete Reference Online information Works that this work references Works that reference this work
Pietronero, L, Tosatti, E, Tosatti, V and Vespignani, A (1998). The Uneven Distribution of Numbers in Nature. Arxiv preprint cond-mat/9808305, 1998 - arxiv.org. View Complete Reference Online information Works that this work references Works that reference this work
Pietronero, L, Tosatti, E, Tosatti, V and Vespignani, A (2001). Explaining the uneven distribution of numbers in nature: the laws of Benford and Zipf. Physica A - Statistical Mechanics and its Applications 293(1-2), 297-304. ISSN:0378-4371. View Complete Reference Online information Works that this work references Works that reference this work
Pike, DP (2008). Testing for the Benford property. SIAM Undergraduate Research Online (SIURO) 1, 10-19. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Pinkham, RS (1961). On the Distribution of First Significant Digits. Annals of Mathematical Statistics 32(4), 1223-1230. ISSN:0003-4851. View Complete Reference Online information Works that this work references Works that reference this work
Pippenger, N (2002). Expected acceptance counts for finite automata with almost uniform input. Algorithms and Computation, Proceedings. Lecture Notes in Computer Science 2518, 636-646. ISSN:0302-9743. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Pippenger, N (2004). Entropy and expected acceptance counts for finite automata. IEEE Transactions on Information Theory 50(1), 78-88. ISSN:0018-9448. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Piva, A (2013). An Overview on Image Forensics. ISRN Signal Processing, vol. 2013, Article ID 496701, 22 pages, 2013. doi:10.1155/2013/496701. ISSN:2090-5041. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Pocheau, A (2006). The significant digit law: a paradigm of statistical scale symmetries . European Physical Journal B 49(4), 491-511. ISSN:1434-6028. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Poincaré, H (1912). Répartition des décimales dans une table numérique. pp 313-320 in: Calcul des Probabilités, Gauthier-Villars, Paris. View Complete Reference No online information available No Bibliography works referenced by this work. Works that reference this work
Popescu, II (2002). On the Lavelette’s nonlinear Zipf’s law. Website. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Porras, J and English, N (2004). Data-Driven Approaches to Identifying Interviewer Falsification: The Case of Health Surveys. Proceedings of the American Statistical Association, Survey Research Methods Section, 4223-4228. View Complete Reference Online information Works that this work references Works that reference this work
Porta Mana, PGL, Månsson, A and Björk, G (2007). The Laplace-Jaynes approach to induction. arXiv preprint. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Posch, PN (2004). Ziffernanalyse in der Fälschungsaufspürung. Benford’s Gesetz und Steuererklärungen in Theorie und Praxis. unpublished manuscript. View Complete Reference Online information Works that this work references Works that reference this work
Posch, PN (2005). Ziffernanalyse in Theorie und Praxis. Testverfahren zur Fälschungsaufspürung mit Benfords Gesetz. Diploma thesis, Universität Bonn, Germany, 2003. Published by Shaker Verlag, Aachen. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Posch, PN (2008). A Survey on Sequences and Distribution Functions satisfying the First-Digit-Law. Journal of Statistics & Management Systems 11(1), 1-19. View Complete Reference Online information Works that this work references Works that reference this work
Posch, PN (2010). Ziffernanalyse. VEW Verlag Europäische Wirtschaft: Munich 2nd edition. View Complete Reference Online information Works that this work references Works that reference this work
Posch, PN and Kreiner, WA (2005). A general approach to digital analysis exemplified by stock market indices. unpublished manuscript. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Posch, PN and Kreiner, WA (2006). Analysing digits for portfolio formation and index tracking. Journal of Asset Management 7(1), 69-80. View Complete Reference Online information Works that this work references Works that reference this work
Preece, DA (1981). Distribution of Final Digits in Data. The Statistician 30(1), 31-60. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Pustet, R (2004). Zipf and his heirs. Language Sciences 26(1), 1-25. ISSN:0388-0001. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Quick, R (1999). Prüfungsmethoden im Spiegel der Forschung. pp 177-234 in: Richter (Hg.), Theorie und Praxis der Wirtschaftsprüfung II, Wirtschaftsprüfung und ökonomische Theorie – Prüfungsmarkt – Prüfungsmethoden – Urteilsbildung. GER View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Quick, R (2006). Benford’sches Gesetz. pp 100-105 in: Marten, KU, Quick, R, and Ruhnke, K (eds.): Lexikon der Wirtschaftsprüfung, Schäffer-Poeschel Verlag. GER View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Quick, R and Wolz, M (2003). Benford's Law in deutschen Rechnungslegungsdaten. Betriebswirtschaftliche Forschung und Praxis 55(2), 208-224. ISSN:0340-5370. GER View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Radev, DR (2004). Weakly supervised graph-based methods for classification. Technical Report CSE-TR-500-04, University of Michigan. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Radman, B (2005). Benfordov zakon (Benford's Law). Hrvatski matematički elektronički časopis 5 (Electronic Croatian Mathematics Magazine). ISSN:ISSN 1334-6083. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Rafeld, H (2003). Digitale Ziffernanalyse mit Benford's Law zur Deliktrevision doloser Handlungen. Diploma thesis, Berufsakademie Ravensburg, Germany. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Rafeld, H and Then Bergh, FR (2007). Digitale Ziffernanalyse in deutschen Rechnungslegungsdaten. Zeitschrift Interne Revision 42(1), 26-33. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Raftopoulou, P, Koubarakis, M, Stergiou, K and Triantafillou, P (2005). Fair resource allocation in a simple multi-agent setting: search algorithms and experimental evaluation. International Journal on Artificial Intelligence Tools 14(6), 887-899. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Raimi, RA (1969). The Peculiar Distribution of First Digits. Scientific American 221(6), 109-119. ISSN:0036-8733. View Complete Reference No online information available Works that this work references Works that reference this work
Raimi, RA (1969). On Distribution of First Significant Figures. American Mathematical Monthly 76(4), 342-348. ISSN:0002-9890. View Complete Reference Online information Works that this work references Works that reference this work
Raimi, RA (1976). The First Digit Problem. American Mathematical Monthly 83(7), 521-538. ISSN:0002-9890. View Complete Reference Online information Works that this work references Works that reference this work
Raimi, RA (1985). The First Digit Phenomenon Again. Proceedings of the American Philosophical Society 129(2), 211-219. ISSN:0003-049X. View Complete Reference Online information Works that this work references Works that reference this work
Rajagopal, AK, Uppuluri, VRR, Scott, DS, Iyengar, SS and Yellayi, M (1984). New structural properties of strings generated by leading digits of 2N. Applied Mathematics and Computation 14(3), 221-244. View Complete Reference Online information Works that this work references Works that reference this work
Rane, AD, Mishra, U, Biswas, A, De, AS and Sen, U (2014). Benford's law gives better scale exponents in phase transitions of quantum XY models. http://arxiv.org/abs/1405.2744 (Submitted on 12 May 2014); last accessed 23 June 2014. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Rauch, B, Brähler, G, Engel, S and Göttsche, M (2011). Fact and Fiction in EU-Governmental Economic Data. German Economic Review 12(3), 243-255. DOI:10.1111/j.1468-0475.2011.00542.x. View Complete Reference Online information Works that this work references Works that reference this work
Ravikumar, B (2008). The Benford-Newcomb Distribution and Unambiguous Context-Free Languages. International Journal of Foundations of Computer Science 19(3), 717-727. ISSN:0129-0541. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Ravikumar, B (2009). A simple multiplication game and its analysis. Accepted for publication in the International Journal of Combinatorial Number Theory. View Complete Reference Online information Works that this work references Works that reference this work
Reed, R and Pence, D (2005). Detecting Fraud in Financial Statements: The Use of Digital Analysis as an Analytical Review Procedure. Journal of Forensic Accounting 6, 135-146. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Regazzini, E (1982). La legge di Benford-Furlan come legge statistica (The Benford-Furlan law as a statistical law). Statistica 42(3), 351-370. View Complete Reference No online information available Works that this work references No Bibliography works reference this work
Rehmeyer, J (2009). Statistical tests suggestive of fraud in Iran’s election. ScienceNews, 10 July. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Rejesus, RM, Little, BB and Jamarillo, M (2006). Is there Manipulation of Self-Reported Yield Data in Crop Insurance? An Application of Benford’s Law. Journal of Forensic Accounting 7(2), 495-512. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Renaud, P (2002). Scale invariant means and the first digit problem. New Zealand Journal of Mathematics 31, 73-83. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Rieger, J (1993). Das Rätsel der ersten Ziffern. Frankfurter Allgemeine Zeitung, Oktober 20. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Rindler, H (1973). Ein Problem aus der Theorie der Gleichverteilung. II. Math. Z. 135, pp. 73-92. ISSN:0025-5874. DOI:10.1007/BF01214307. GER View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Robertson, JB, Uppuluri, VRR and Rajagopal, AK (1983). First digit phenomenon and ergodic theory. Journal of Mathematical Analysis and Applications 95(2), 375-378. View Complete Reference Online information Works that this work references Works that reference this work
Rodriguez, RJ (2004). First Significant Digit Patterns from Mixtures of Uniform Distributions. American Statistician 58(1), 64-71. ISSN:0003-1305. View Complete Reference Online information Works that this work references Works that reference this work
Rodriguez, RJ (2004). Reducing False Alarms in the Detection of Human Influence on Data. Journal of Accounting, Auditing & Finance 19(2), 141-158. View Complete Reference Online information Works that this work references Works that reference this work
Rogers, T (2001). Benford's Law Part 1 - How to Spot Tax Fraud. Amazing Applications of Probability and Statistics. Last accessed from http://www.intuitor.com/statistics/Benford's%20Law.html on 24 April 2014.. View Complete Reference Online information Works that this work references Works that reference this work
Rogers, T (2001). Benford's Law Part 2 - The 80/20 Rule or Pareto Principle. Amazing Applications of Probability and Statistics. Last accessed from http://www.intuitor.com/statistics/Benford's%20Law2.html 24April 2014. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Roman, M and Robert, C (2009). Le premier chiffre à gauche. e-print, University of Paris V. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Romero-Rochin, V (2009). A derivation of Benford's Law ... and a vindication of Newcomb. preprint arXiv:0909.3822. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Rose, AM and Rose, JM (2003). Turn Excel into a financial sleuth: an easy-to-use digital analysis tool can red-flag irregularities. Journal of Accountancy 196(2), 58-60. View Complete Reference Online information Works that this work references Works that reference this work
Rosenkrantz, RD (1977). Benford's Law. Example 3.6.6, pp 67-68 in: Inference, Method and Decision: Towards a Bayesian Philosophy of Science, Reidel Publishing Company, USA. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Ross, KA (2011). Benford's Law, a growth industry. American Mathematical Monthly 118, 571-583. View Complete Reference Online information Works that this work references Works that reference this work
Ross, KA (2012). First Digits of Squares and Cubes. Mathematics Magazine 85(1), 36-42. DOI:10.4169/math.mag.85.1.36. View Complete Reference Online information Works that this work references Works that reference this work
Roukema, BF (2009). Benford's Law Anomalies in the 2009 Iranian presidential election. preprint arXiv:0906.2789. View Complete Reference Online information Works that this work references Works that reference this work
Rousseau, C (2010). Apprendre à frauder ou à détecter les fraudes ?. Accromαth 5, Été-automne, 2-7. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Rousseau, R (2005). Robert Fairthorne and the empirical power laws. Journal of Documentation 61(2), 194-202. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Rücker, G (2003). Benford's Law in Medical Data Sets. presentation given at: 49th Biometric Conference of the German Region of theInternational Biometric Society at Wuppertal, March 2003. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Ryder, P (2009). The Relationship Between the Newcomb-Benford Law and the Distribution of Rational Numbers. Zeitschrift für Naturforschung 64a, 615-617. View Complete Reference Online information Works that this work references Works that reference this work
Ryder, P (2009). Multiple origins of the Newcomb-Benford law: rational numbers, exponential growth and random fragmentation. Staats- und Universitätsbibliothek Bremen, Germany. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Sakai, H (1991). Frequency distribution of first digit among population. Jinko mondai kenkyu. [Journal of population problems] 47(3), 74-78. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Sambridge, M, Tkalčić, H and Arroucau, P (2011). Benford's Law of First Digits: From Mathematical Curiosity to Change Detector. Asia Pacific Mathematics Newsletter 1(4), October 2011, 1-6. ISSN:2010-3484. View Complete Reference Online information Works that this work references Works that reference this work
Sambridge, M, Tkalčić, H and Jackson, A (2010). Benford's law in the Natural Sciences. Geophysical Research Letters 37 (2010) L22301, doi:10.1029/2010GL044830. View Complete Reference Online information Works that this work references Works that reference this work
Sanches, J and Marques, JS (2006). Image reconstruction using the Benford law. Proceedings of the IEEE International Conference on Image Processing, Atlanta, GA, October 2006, pp. 2029-2032. ISSN:1522-4880. DOI:10.1109/ICIP.2006.312845. View Complete Reference No online information available Works that this work references Works that reference this work
Sánchez, JLH (2002). Analisis de la megacefalia demografica urbana mediante leyes de Zipf y de potencia (Urban demographic analysis by using Zipf and potence laws). Theoria 11, 21-26. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Sandouly, P (1998). Fraudes la preuve par 1. Jeune Afrique 1978, December 8. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Sandron, F (2002). Do populations conform to the law of anomalous numbers?. Population 57(4/5), 753-761 (translated from French by SR Hayford). ISSN:1634-2941. View Complete Reference Online information Works that this work references Works that reference this work
Sarkar, BP (1973). An Observation on the Significant Digits of Binomial Coefficients and Factorials. Sankhya - The Indian Journal of Statistics Series B 35(3), 363-364. ISSN:0581-5738. View Complete Reference Online information Works that this work references Works that reference this work
Saville, A (2003). Using Benford's Law to predict data error and fraud. An examination of companies listed on the JSE securities exchange. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Saville, A (2006). Using Benford's law to detect data error and fraud: an examination of companies listed on the Johannesburg Stock Exchange. South African Journal of Economic and Management Sciences 9(3), 341-354. ISSN:1015-8812. View Complete Reference Online information Works that this work references Works that reference this work
Schäfer, C, Bömermann, H, Nauenburg, R, Wenzel, K, Müller, KR and Wagner, GG (2006). Qualitätssicherung des Faktors Interviewer für den Mikrozensus. pp 209-216 in: Kehlenbach, J, Rockmann, U (eds.): Amtliche Mikrodaten für die Sozial- und Wirtschaftswissenschaften, Forschungsdatenzentrum der Statistischen Landesämter: Beiträge zu den Nutzerkonferenzen des FDZ der Statistischen Landesämter 2005. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Schäfer, C, Schräpler, JP and Müller, KR (2004). Identification, Characteristics and Impact of Faked and Fraudulent Interviews in Surveys. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Schäfer, C, Schräpler, JP, Müller, KR and Wagner GG (2004). Automatic Identification of Faked and Fraudulent Interviews in Surveys by Two Different Methods. Discussion paper 441, DIW Berlin (German Institute for Economic Research). View Complete Reference Online information Works that this work references Works that reference this work
Schatte, P (1973). Zur Verteilung der Mantisse in der Gleitkommadarstellung einer Zufallsgröße (Distribution of Mantissa in Floating Point Diagram of Random Variable). Zeitschrift fur Angewandte Mathematik und Mechanik 53(8), 553-565. ISSN:0044-2267. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Schatte, P (1981). On random variables with logarithmic mantissa distribution relative to several bases. Elektronische Informationsverarbeitung und Kybernetik 17(4/6), 293-295. ISSN:0013-5712. View Complete Reference Online information Works that this work references Works that reference this work
Schatte, P (1983). On sums modulo 2π of independent random variables. Math. Nachr. 110, 243-262. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Schatte, P (1983). On H -summability and the uniform distribution of sequences. Math. Nachr. 113, 237-243. View Complete Reference Online information Works that this work references Works that reference this work
Schatte, P (1984). On the asymptotic uniform distribution of sums reduced mod 1. Math. Nachr. 115, 275-281. View Complete Reference Online information Works that this work references Works that reference this work
Schatte, P (1986). On the Asymptotic Logarithmic Distribution of the Floating-Point Mantissas of Sums. Math. Nachr. 127, 7-20. ISSN:0025-584X. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Schatte, P (1987). On the Asymptotic Behaviour of the Mantissa Distributions of Sums. Journal of Information Processing and Cybernetics EIK 23(7), 353-360. View Complete Reference Online information Works that this work references Works that reference this work
Schatte, P (1987). Some estimates of the H -uniform distribution. Monatshefte für Mathematik 103, 233-240. View Complete Reference Online information Works that this work references Works that reference this work
Schatte, P (1988). On mantissa distributions in computing and Benford’s law. Journal of Information Processing and Cybernetics EIK 24(9), 443-455. ISSN:0863-0593. View Complete Reference Online information Works that this work references Works that reference this work
Schatte, P (1988). On the uniform distribution of certain sequences and Benford’s law. Math. Nachr. 136, 271-273. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Schatte, P (1988). On the Almost Sure Convergence of Floating-Point Mantissas and Benford Law. Math. Nachr. 135, 79-83. ISSN:0025-584X. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Schatte, P (1988). On a law of the iterated logarithm for sums mod 1 with application to Benford's law. Probability Theory and Related Fields 77(2), 167-178. ISSN:0178-8051. View Complete Reference Online information Works that this work references Works that reference this work
Schatte, P (1989). On measures of uniformly distributed sequences and Benford's law. Monatshefte für Mathematik 107(3), 245-256. ISSN:0026-9255. View Complete Reference Online information Works that this work references Works that reference this work
Schatte, P (1990). On Benford’s law for continued fractions. Math. Nachr. 148, 137-144. View Complete Reference Online information Works that this work references Works that reference this work
Schatte, P (1991). On a uniform law of the iterated logarithm for sums mod 1 and Benford’s law. Lithuanian Mathematical Journal 31(1), 133-142. View Complete Reference Online information Works that this work references Works that reference this work
Schatte, P (1998). On Benford's law to variable base. Statistics & Probability Letters 37(4): 391-397. ISSN:0167-7152. View Complete Reference Online information Works that this work references Works that reference this work
Schatte, P (2001). Briefe an die Herausgeber. Mitteilungen der Deutschen Mathematiker Vereinigung, 2/2001, pp 6-7. View Complete Reference No online information available Works that this work references No Bibliography works reference this work
Schatte, P and Nagasaka, K (1991). A note on Benford’s law for second order linear recurrences with periodical coefficients. Z. Anal. Anwend. 10(2), 251-254. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Scheidt, JK and Schelin, CW (1987). Distributions of floating point numbers. Computing 38(4), 315-324. ISSN:0010-485X. View Complete Reference Online information Works that this work references Works that reference this work
Schetnikov, AL and Schetnikova, AB (2002). Teaching and Research Seminar "The distribution of the first significant digits". Matematicheskoe obrazovanie (Mathematical Education), № 2(21), 2002, p. 107–123. (in Russian). RUS View Complete Reference Online information Works that this work references No Bibliography works reference this work
Schilling, MF (1992). Sequential Partitioning. American Mathematical Monthly 99(9), 846-855. ISSN:0002-9890. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Schimmeck, T (1998). Eins zu null für Eins. Der Zufall mag manche Ziffern lieber als andere. Süddeutsche Zeitung Magazin Nr. 45, November 6. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Schmidt, R and Lacher, R (1984). Probabilistic repeatability among some irrationals. College Mathematics Journal 15(4), 330-332. View Complete Reference Online information Works that this work references Works that reference this work
Schraepler, J-P (2010). Benford's Law as an instrument for fraud detection in surveys using the data of the Socio-Economic Panel (SOEP). Socio-Economic Panel (SOEP) paper No. 273, March 2, 2010.. View Complete Reference Online information Works that this work references Works that reference this work
Schräpler, JP and Wagner, GG (2003). Identification, characteristics and impact of faked interviews in surveys. An analysis by means of genuine fakes in the raw data of SOEP. IZA Discussion paper no. 969. Also published as DIW Berlin (German Institute for Economic Research) discussion paper 392, December 2003 - online at www.diw-berlin.de/documents/publikationen/73/41110/dp392.pdf. View Complete Reference Online information Works that this work references Works that reference this work
Schräpler, JP and Wagner, GG (2005). Characteristics and impact of faked interviews in surveys – An analysis of genuine fakes in the raw data of SOEP. Allgemeines Statistisches Archiv 89, 7-20. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Schüpfer, G, Hein, J, Casutt, M, Steiner, L and Konrad, C (2012). Vom Finanz- sum Wissenschaftsbetrug [From financial to scientific fraud : methods to detect discrepancies in the medical literature]. Der Anaesthesist 61(6):537-42. ISSN:0003-2417. DOI:10.1007/s00101-012-2028-y. GER View Complete Reference Online information Works that this work references Works that reference this work
Schürger, K (2008). Extensions of Black-Scholes processes and Benford's law. Stochastic Processes and their Applications 118(7), 1219-1243. ISSN:0304-4149. View Complete Reference Online information Works that this work references Works that reference this work
Schürger, K (2011). Lévy processes and Benford’s Law. Preprint. View Complete Reference No online information available No Bibliography works referenced by this work. Works that reference this work
Scorse, J (2007). Does being a “top 10” worst polluter affect facility environmental releases? Evidence from the U.S. Toxic Release Inventory. Monterey Institute of International Studies Working Paper. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Scott, PD and Fasli, M (2001). Benford’s law: an empirical investigation and a novel explanation. CSM Technical Report 349, Department of Computer Science, University of Essex, UK. View Complete Reference Online information Works that this work references Works that reference this work
Scott, SK, Barnard, PJ and May, J (2001). Specifying executive representations and processes in number generation tasks. Quarterly Journal of Experimental Psychology, Section A - Human Experimental Psychology 54(3), 641-664. ISSN:0272-4987. View Complete Reference Online information Works that this work references Works that reference this work
Scozzafava, R (1981). Un esempio concreto di probabilita non σ-additiva: la distribuzione della prima cifra significativa dei dati statistici. Boll. Un. Mat. Ital. A(5) 18(3), 403-410. View Complete Reference No online information available Works that this work references Works that reference this work
Scozzafava, R (1981). Non conglomerability and the First Digit Problem. Statistica 41(4), 561-565. View Complete Reference No online information available Works that this work references Works that reference this work
Seaman, RS (2002). The relevance of Benford's Law to background field errors in data assimilation. Australian Meteorological Magazine 51(1), 25-33. ISSN:0004-9743. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Sebastiani, P, Gussoni, E, Kohane, IS and Ramoni, MF (2003). Statistical challenges in functional genomics. Statistical Science 18(1), 33-60. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Sen, A and Sen, U (2011). Benford's law detects quantum phase transitions similarly as earthquakes. EPL (Europhysics Letters) 95(5), 50008, 1-6. View Complete Reference Online information Works that this work references Works that reference this work
Sentance, WA (1973). A further analysis of Benford’s law. Fibonacci Quarterly 11, 490-494. View Complete Reference No online information available Works that this work references Works that reference this work
Shallit, J (2003). What this country needs is an 18c piece. The Mathematical Intelligencer 25(2), 20-23. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Shao, L and Ma, BQ (2009). First Digit Distribution of Hadron full width. Modern Physics Letters A, 24(40), 3275-3282. View Complete Reference Online information Works that this work references Works that reference this work
Shao, L and Ma, BQ (2010). Empirical mantissa distributions of pulsars. Astroparticle Physics 33, 255-262. View Complete Reference Online information Works that this work references Works that reference this work
Shao, L and Ma, BQ (2010). The significant digit law in statistical physics. Physica A 389, 3109-3116. View Complete Reference Online information Works that this work references Works that reference this work
Shao, L and Ma, BQ (2010). First-digit law in nonextensive statistics. Physical Review E 82, 041110. View Complete Reference Online information Works that this work references Works that reference this work
Sharpe, MJ (2006). Limit Laws and Mantissa Distributions. Probability and Mathematical Statistics 26(1), 175-185. View Complete Reference Online information Works that this work references Works that reference this work
Shengmin, Z and Wenchao, W (2010). Does Chinese Stock Indices Agree with Benford's Law?. 2010 International Conference on Management and Service Science (MASS), 24-26 Aug. 2010, Wuhan, Page(s): 1 - 3, doi: 10.1109/ICMSS.2010.5575999. ISSN:978-1-4244-5325-2. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Shenton, LR (1968). Periodicity and density of modified Fibonacci sequences. Fibonacci Quarterly 6(2), 109-116. View Complete Reference No online information available Works that this work references Works that reference this work
Sheynin, OB (1984). On the History of the Statistical Method in Astronomy. Archive for History of Exact Sciences 29(2), 151-199. ISSN:0003-9519. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Shi, YQ (2009). First digit law and its application to digital forensics. In H. J. Kim, S. Katzenbeisser, & A.T.S. Ho (Eds.), Digital watermarking: Seventh International Workshop (IWDW ’08) (pp. 444–456). Berlin: Springer-Verlag. ISSN:978-3-642-04437-3. View Complete Reference Online information Works that this work references Works that reference this work
Shi, YQ and Fu, D (2011). Apparatus and method for a generalized benford's law analysis of DCT and JPEG coefficients. Patent 7940989 Issued on May 10, 2011. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Shikano, S and Mack, V (2011). When does 2nd Digit Benford´s Law-Test signal an election fraud? Facts or misleading test results. Jahrbücher für Nationalökonomie und Statistik 231 (5+6), 719-732. View Complete Reference No online information available Works that this work references Works that reference this work
Simonet, S, Monteleone, S and Diego, A (2007). Analyse von Bildflächen auf Benfordverteilung am Beispiel von Northern Blots. ETH Zuerich sociology working paper. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Skousen, CJ, Guan, L and Wetzel, TS (2004). Anomalies and unusual patterns in reported earnings: Japanese managers round earnings. Journal of International Financial Management & Accounting 15(3), 212-234. View Complete Reference Online information Works that this work references Works that reference this work
Slijepčević, S (1998). A note on initial digits of recurrence sequences. Fibonacci Quarterly 36(4), 305-308. View Complete Reference No online information available Works that this work references Works that reference this work
Slijepčević, S and Blašković, B (2013). Statistical detection of fraud in the reporting of Croatian public companies. Financial Theory and Practice, 38(1), pp. 81-96. DOI:10.3326/fintp.38.1.4. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Sloane, NJA (2003). Sequences A055439 - A055449. in: The On-Line Encyclopedia of Integer Sequences (www.research.att.com/~njas/sequences/). View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Smilek, D, Carriere, JSA, Dixon, MJ and Merikle, PM (2007). Grapheme Frequency and Color Luminance in Grapheme-Color Synaesthesia. Psychological Science 18(9), 793-795. ISSN:0956-7976. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Smith, CA (2002). Detecting Anomalies in Your Data Using Benford’s Law. Paper 249 (Statistics and Data Analysis) in: Proceedings of SUGI 27, Orlando, USA, April 14-17. View Complete Reference Online information Works that this work references Works that reference this work
Smith, SW (1997). Explaining Benford's Law. Chapter 34 in: The Scientist and Engineer's Guide to Digital Signal Processing. California Technical Publishing: San Diego, CA. ISBN 0-9660176-3-3. Republished in softcover by Newnes, 2002. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Snyder, MA, Curry, JH and Dougherty, AM (2001). Stochastic aspects of one-dimensional discrete dynamical systems: Benford's law. Physical Review E 64(2), Art. No. 026222. ISSN:1063-651X. View Complete Reference Online information Works that this work references Works that reference this work
Soffer, BH and Lynch, DK (1999). Some paradoxes, errors, and resolutions concerning the spectral optimization of human vision. American Journal of Physics 67(11), 946-953. ISSN:0002-9505. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Sornette, D (2002). Why stock markets crash: critical events in complex financial systems. Princeton University Press. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Sottili, G, Palladino, DM, Giaccio, B and Messina, P (2012). Benford's Law in Time Series Analysis of Seismic Clusters. Mathematical Geosciences Volume 44, Number 5 (2012), 619-634, doi: 10.1007/s11004-012-9398-1. View Complete Reference Online information Works that this work references Works that reference this work
Sporring, J (1997). A prior of saliency based pruning algorithms. Technical report DIKU-97/8, Department of Computer Science, University of Copenhagen, Denmark. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Stadje, W (2005). Asymptotic properties of digit sequences of random numbers. Mathematische Nachrichten 278(10), 1209-1229. View Complete Reference Online information Works that this work references Works that reference this work
Stanek, S (2000). Applying Benford's Law to internal audit. KnowledgeSpace, 14 August. View Complete Reference No online information available Works that this work references No Bibliography works reference this work
Steutel, F (2009). De wet van Benford. STAtOR 10(1), 22-23. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Stewart, I (1994). Das Gesetz der ersten Ziffer. Mathematische Unterhaltungen, in: Spektrum der Wissenschaft (April), 16-20. View Complete Reference Online information Works that this work references Works that reference this work
Stewart, I (2008). The Most Likely Digit. pp 106-109 in: Professor Stewart's Cabinet of Mathematical Curiosities, Basic Books, New York. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Stigler, SM (1978). Mathematical Statistics in the Early States. Annals of Statistics 6(2), 239-265. ISSN:0090-5364. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Stoschek, EP and Schönfeld, D (2002). Benford's Law - Places of interest near Benford`s Law. Module 45 of: Workshop on Design of Algorithms. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Strauch, O (2012). Unsolved Problems. Uniform Distribution Theory, Unsolved Problems Section on the home-page of Uniform Distribution Theory. ISSN:1336-913X. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Strzałka, D (2010). On some properties of Benford's law. Journal of the Korean Math. Soc. 47, 1055-1075. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Suh, I and Headrick, TC (2010). A comparative analysis of the bootstrap versus traditional statistical procedures applied to digital analysis based on Benford's Law. Journal of Forensic and Investigative Accounting 2(2), 2010, 144-175. View Complete Reference Online information Works that this work references Works that reference this work
Suh, I, Headrick, TC and Minaburo, S (2011). An Effective and Efficient Analytic Technique: A Bootstrap Regression Procedure and Benford's Law. Journal of Forensic & Investigative Accounting, Vol.3, No. 3. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Sundheim, R and Busta, B (1993). Fibonacci numbers tend to obey Benford's law: an extension of Wlodarski and Sentance. Working Paper, St. Cloud State University, St. Cloud, Minnesota. View Complete Reference Online information Works that this work references Works that reference this work
Swanson, D, Cho, MJ and Eltinge, J (2003). Detecting possibly fraudulent or error-prone survey data using Benford’s law. pp 4172-4177 in: 2003 Joint Statistical Meetings - Section on Survey Research Methods, Proceedings of the American Statistical Association. View Complete Reference Online information Works that this work references Works that reference this work
Szewczak, ZS (2010). A limit theorem for random sums modulo 1. Statistics & Probability Letters. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Szpiro, G (2009). Neues aus dem Reich der Primzahlen. Neue Zürcher Zeitung, 27 Mai. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Tabachnikov, S (2005). Geometry and Billiards. p 25 in: AMS Student Mathematical Library vol.30. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Tao, T (2009). Benford’s law, Zipf’s law, and the Pareto distribution . Terence Tao's math blog site. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Tarantola, A (2006). Benford Effect. pp 112-113 in: Elements for Physics: Quantities, Qualities, and Intrinsic Theories, Springer. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Taylor, J (2005). Too many ties? An empirical analysis of the Venezuelan recall referendum counts. unpublished manuscript, Stanford University, USA. View Complete Reference Online information Works that this work references Works that reference this work
Taylor, RN, McEntegart, DJ and Stillman, EC (2002). Statistical techniques to detect fraud and other data irregularities in clinical questionnaire data. Drug Information Journal 36, 115-125. View Complete Reference Online information Works that this work references Works that reference this work
Thomas, JK (1989). Unusual Patterns in Reported Earnings. Accounting Review 64(4), 773-787. ISSN:0001-4826. View Complete Reference Online information Works that this work references Works that reference this work
Thorp, E and Whitley, R (1971). Poincaré's conjecture and the distribution of digits in logarithm tables. Compositio Mathematica 23(2), 233-250. View Complete Reference Online information Works that this work references Works that reference this work
Tichenor, C and Davis, B (2008). The Applicability of Benford’s Law to the buying Behavior of Foreign Military Sales Customers. Global Journal of Business Research 2(2), 77-85. ISSN:1931-0277. View Complete Reference Online information Works that this work references Works that reference this work
Tichenor, C and Davis, B (2009). Why Benford's Law works for function point analysis. Preprint. View Complete Reference Online information Works that this work references Works that reference this work
Tichy, RF (1985). Uniform distribution and diophantine inequalities. Monatsh. Math. 99(2), 147-152. View Complete Reference Online information Works that this work references Works that reference this work
Tichy, RF (1987). Gleichverteilung zum Summierungsverfahren H. Math. Nachr. 131(1), 119-125. View Complete Reference Online information Works that this work references Works that reference this work
Tichy, RF (1987). Statistische Resultate über computergerechte Darstellungen von Zahlen. Anz. Österreich. Akad. Wiss. Math.-Natur. Kl. 124, 1-8. View Complete Reference No online information available Works that this work references Works that reference this work
Tijms, H (2007). Falsified data and Benford’s law . pp 193-197 in: Understanding Probability: Chance Rules in Everyday Life (2nd ed), Cambridge University Press. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Tilden, C and Janes, T (2012). Empirical evidence of financial statement manipulation during economic recessions. Journal of finance and accountancy, 12, pp.1-15. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Tödter, KH (2009). Benford's Law as an Indicator of Fraud in Economics. German Economic Review 10(3), 339-351. View Complete Reference Online information Works that this work references Works that reference this work
Tolle, CR, Budzien, JL and LaViolette, RA (2000). Do dynamical systems follow Benford's law?. Chaos, 10(2), 331-336. ISSN:1054-1500. View Complete Reference Online information Works that this work references Works that reference this work
Toms, AD (2005). Non-payment risk assessment. Patent Application number: 11/238,584 Publication number: US 2006/0287947 A1 Filing date: Sep 29, 2005. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Tong, S, Zhang, Z, Xie, Y and Wu, X (2013). Image Splicing Detection Based on Statistical Properties of Benford Model. Proceedings of the 2nd International Conference on Computer Science and Electronics Engineering (ICCSEE 2013), pp. 0792-0795. ISSN:978-90-78677-61-1. DOI:10.2991/iccsee.2013.200. View Complete Reference Online information Works that this work references Works that reference this work
Too, YH (1992). On the uniform distribution modulo one of some log-like sequences. Proc. Japan Acad. A 68, 269-272. View Complete Reference Online information Works that this work references Works that reference this work
Torres, DA (2006). Newcomb-Benford's Law Applications to Electoral Processes, Bioinformatics, and the Stock Index. Unpublished Masters thesis. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Torres, J, Fernandez, S, Gamero, A and Sola, A (2007). How do numbers begin? (The first digit law). European Journal of Physics 28(3), L17-L25. ISSN:0143-0807. View Complete Reference Online information Works that this work references Works that reference this work
Trono, JA (2009). Discovering more properties of the Fibonacci sequence. Journal of Computing Sciences in Colleges 24(5), 130-135. ISSN:1937-4771. View Complete Reference Online information Works that this work references Works that reference this work
Tsao, NK (1974). On the Distributions of Significant Digits and Roundoff Errors. Communications of the ACM 17(5), 269-271. ISSN:0001-0782. View Complete Reference Online information Works that this work references Works that reference this work
Tsuji, M (1952). On the uniform distribution of numbers mod 1. Journal of the Mathematical Society of Japan 4(3/4), 313-322. View Complete Reference Online information Works that this work references Works that reference this work
Tsung, F, Zhou, Z and Jiang, W (2007). Applying manufacturing batch techniques to fraud detection with incomplete customer information. IIE Transactions 39(6), 671-680. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Turner, P (2007). A classroom exploration of Benford's Law and some error finding tricks in accounting . Proceedings of the 21st biennial conference of the Australian Association of Mathematics Teachers Inc. Mathematics: Essential for Learning, Essential for Life, edited by K. Milton, H. Reeves & T. Spencer, 2007, pp. 250-259 . ISSN:978-1-875900-63-3. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Turner, PR (1982). The Distribution of Leading Significant Digits. IMA Journal orf Numerical Analysis 2(4), 407-412. ISSN:0272-4979. View Complete Reference Online information Works that this work references Works that reference this work
Turner, PR (1984). Further Revelations on LSD. IMA Journal of Numerical Analysis 4(2), 225-231. ISSN:0272-4979. View Complete Reference Online information Works that this work references Works that reference this work
Turner, PR (1987). The distribution of l.s.d. and its implications for computer design. The Mathematical Gazette 71 (March), 26-31. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Tutton, M (1995). Lover of the law of numbers. CA Magazine, Vol. 128, Iss 4, May, pp. 7. ISSN:0317-6878. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Uppuluri, VRR and Patil, SA (1985). The distribution of the first j digits of beta related random variables. Communications in Statistics - Simulation and Computation 14(2), 467-472. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Vajda, I, Veselý, A and Zvarova, J (2005). On the Amount of Information Resulting from Empirical and Theoretical Knowledge. Revista Matemática Complutense 18(2), 275-283. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Valadier, M (2012). The Benford phenomenon for random variables. Discussion of Feller's way. arXiv:1203.2518. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Valk, G (2004). Benford’s Law and Faking Data. The Pi, Volume 1, Spring 2004, Dept of Mathematics and Statistics, Georgia State University, Atlanta, USA. View Complete Reference Online information Works that this work references No Bibliography works reference this work
van Caneghem, T (2002). Earnings management induced by cognitive reference points. The British Accounting Review 34(2), 167-178. View Complete Reference Online information Works that this work references Works that reference this work
van Caneghem, T (2004). The impact of audit quality on earnings rounding-up behaviour: some UK evidence. European Accounting Review 13(4), 771-786. View Complete Reference Online information Works that this work references Works that reference this work
van der Corput, JG (1931). Diophantische Ungleichungen. I. Zur Gleichverteilung Modulo Eins. Acta Math. 56, no. 1, pp. 373-456. ISSN:0001-5962. DOI:10.1007/BF02545780. GER View Complete Reference No online information available No Bibliography works referenced by this work. No Bibliography works reference this work
van Maanen, H (1988). De wet van.... Boom Meppel:Amsterdam; Chapter "Benford", pp.109-112. ISSN:90-6009-865-X. DUT View Complete Reference No online information available No Bibliography works referenced by this work. No Bibliography works reference this work
Vardi, I (1999). Premiers chiffres significatifs et nombres algébriques. [Leading digits and algebraic numbers.]. Comptes rendus de l’Acadmie des sciences, Serie I 328 (9), 749-754. ISSN:0764-4442. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Varian, HR (1972). Benford’s law. The American Statistician 26(3), 65-66. View Complete Reference Online information Works that this work references Works that reference this work
Vogt, W (2000). Benford’s Gesetz : Steuer- und Budgetsündern auf der Spur – Zahlen lügen nicht. Schweizer Versicherung 9, 27-29. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Volcic, A (1996). The First Digit Problem and Scale-Invariance. pp 329-340 in: P. Marcellini, G. Talenti and E. Vesentini (eds), Partial differential equations and applications: collected papers in honor of Carlo Pucci. Marcel Dekker. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Waaldijk, F (2005). On the foundations of constructive mathematics - Especially in Relation to the Theory of Continuous Functions. Foundations of Science 10(3), 249-324. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Wagon, S (2009). Benford's Law and Data Spread. Wolfram Online Demonstrations Projects. View Complete Reference Online information Works that this work references Works that reference this work
Wallace, WA (2002). Assessing the quality of data used for benchmarking and decision- making. The Journal of Government Financial Management 51(3), 16-22. View Complete Reference Online information Works that this work references Works that reference this work
Wallis, WA and Roberts, HV (1956). First digits of statistical tables. Example 331, pp 331-332 in: Statistics: A New Approach, The Free Press of Glencoe, Illinois, USA. View Complete Reference Online information No Bibliography works referenced by this work. No Bibliography works reference this work
Walthoe, J, Hunt, R and Pearson, M (1999). Looking out for number one. +plus magazine, September 1999. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Wang, J (2011). Benford's Law and the Decreasing Reliability of Accounting Data for US Firms . Studies in Everyday Life:Investigations and experiments on food, ethics, economics, and the environment Blog posted Sunday, October 9, 2011. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Wang, Y and Pedlow, S (2005). Detecting Falsified Cases in SCF 2004 Using Benford’s Law. Proceedings of the American Statistical Association, Survey Research Methods Section, 3562-3657. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Washington, LC (1981). Benford’s law for Fibonacci and Lucas numbers. Fibonacci Quarterly 19, 175-177. View Complete Reference No online information available Works that this work references Works that reference this work
Watrin, C, Struffert, R and Ullmann, R (2008). Benford’s Law: an instrument for selecting tax audit targets?. Review of Managerial Science 2(3), 219-237. View Complete Reference Online information Works that this work references Works that reference this work
Weaver, W (1963). The distribution of first significant digits. pp 270-277 in: Lady Luck: The Theory of Probability, Doubleday Anchor Series, New York. Republished by Dover, 1982. View Complete Reference Online information Works that this work references Works that reference this work
Webb, W (1975). Distribution of the first digits of Fibonacci numbers. Fibonacci Quarterly 13, 334-336. View Complete Reference No online information available Works that this work references Works that reference this work
Weissmann, SM, Hollingsworth, SR and Baird, JC (1975). Psychophysical studies of numbers: III. Methodological applications. Psychological Research 38(1), 97-115. View Complete Reference Online information Works that this work references Works that reference this work
Weisstein, EW (2003). Benford's Law. pp 181-182 in: CRC concise encyclopedia of mathematics, Chapman & Hall. View Complete Reference Online information Works that this work references Works that reference this work
Weisstein, EW (2009). Benford's Law. MathWorld (A Wolfram Web Resource). View Complete Reference Online information Works that this work references Works that reference this work
Wells, K, Chiverton, J, Partridge, M, Barry, M, Kadhem, H and Ott, B (2005). The Partial Volume Effect in PET/SPECT and Benford's Law. Nuclear Science Symposium Conference Record, 2005 IEEE, Vol. 3. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Wells, K, Chiverton, J, Partridge, M, Barry, M, Kadhem, H and Ott, B (2007). Quantifying the Partial Volume Effect in PET Using Benford's Law. IEEE Transactions on Nuclear Science 54(5), 1616-1625 Part 1. ISSN:0018-9499. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Weyl, H (1916). Über die Gleichverteilung von Zahlen mod Eins. Mathematische Annalen 77, 313-352. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Whitney, RE (1972). Initial digits for the sequence of primes. American Mathematical Monthly 79(2), 150-152. ISSN:0002-9890. View Complete Reference Online information Works that this work references Works that reference this work
Whittaker, JV (1983). On scale-invariant distributions. SIAM Journal on Applied Mathematics 43(2), 257-267. View Complete Reference Online information Works that this work references Works that reference this work
Wilkinson, L (2006). Revising the Pareto chart. American Statistician 60(4), 332-334. ISSN:0003-1305. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Williamson, J (2000). Random probability functions. Preprint. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Wilms, RJG and Brands, JJAM (1994). On the asymptotically uniform distribution modulo 1 of extreme order statistics. Statistica Neerlandica 48(1), 63-70. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Winter, C, Schneider, M and Yannikos, Y (2011). Detecting Fraud Using Modified Benford Analysis. Advances in Digital Forensics VII, 7th IFIP WG 11.9 International Conference on Digital Forensics, Orlando, FL, USA, January 31 – February 2, 2011, Revised Selected Papers. Gilbert Peterson and Sujeet Shenoi (Editors). IFIP Advances in Information and Co. ISSN:1868-4238. DOI:10.1007/978-3-642-24212-0_10. View Complete Reference Online information Works that this work references Works that reference this work
Winter, C, Schneider, M and Yannikos, Y (2012). Model-Based Digit Analysis for Fraud Detection overcomes Limitations of Benford Analysis. Availability, Reliability and Security (ARES 2012), Seventh International Conference, August 20–24, 2012, Prague, Czech Republic. IEEE CS volume E4775, pages 255–261. IEEE Computer Society. ISSN:978-1-4673-2244-7 . DOI:10.1109/ARES.2012.37. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Wlodarski, J (1971). Fibonacci and Lucas Numbers tend to obey Benford’s law. Fibonacci Quarterly 9, 87-88. View Complete Reference No online information available Works that this work references Works that reference this work
Wojcik, MR (2013). How fast increasing powers of a continuous random variable converge to Benford’s law. Statistics and Probability Letters 83, pp. 2688–2692. DOI:http://dx.doi.org/10.1016/j.spl.2013.09.003. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Wojcik, MR (2013). Notes on scale-invariance and base-invariance for Benford's Law. arXiv:1307.3620 [math.PR]. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Wolff, H and Auffhammer, M (2006). Endogenous Choice OF Development Indicators: Are Development Countries Misclassified? Evidence from the HDI. Agricultural and Resource Economics, UC Berkeley, USA. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Wouk, A (1961). On digit distributions of random variables. J. Soc. Indust. Appl. Math. 9(4), 597-603. View Complete Reference Online information Works that this work references Works that reference this work
Xu, B, Wang, J, Liu, G and Dai, Y (2011). Photorealistic computer graphics forensics based on leading digit law. Journal of Electronics (China), January 2011, 28(1) pp. 95-100, doi: 10.1007/s11767-011-0474-3. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Ylvisaker, D (1977). Test Resistance. Journal of the American Statistical Association 72(359), 551-556. ISSN:0162-1459. View Complete Reference Online information Works that this work references Works that reference this work
York, D (2000). Benford’s law. Accountancy 126(1283), 126. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Zbrodoff, NJ (1995). Why is 9+7 harder than 2+3 - Strength and Interference as Explanations of the Problem-Size Effect. Memory & Cognition 23(6), 689-700. ISSN:0090-502X. View Complete Reference Online information Works that this work references Works that reference this work
Žgela, M and Dobša, J (2011). Analysis of Top 500 Central and East European Companies Net Income Using Benford's Law. Journal of Information and Organizational Sciences, Vol.35, No.2, Prosinac 2011, pp. 215-228. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Zhang, S and Kang, Z (2007). The New Toll of Fraud Audit in Information Age: Benford’s Law and It’s Empirical Test from Chinese Listed Companies,. Audit Research (China), Issue 3, pp. 81-87. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Zhao, Y, Han, L and Li, H (2007). Characters of profit manipulation in Chinese listed companies: Evidence base on Benford’s law. Audit Research (China), Issue 6, pp. 89-94. View Complete Reference Online information No Bibliography works referenced by this work. Works that reference this work
Zorzi, A (2011). Benford's law and pi. The Mathematical Gazette, vol. 95, no. 533, July 2011, pp. 264-266. View Complete Reference No online information available No Bibliography works referenced by this work. No Bibliography works reference this work
Zyga, L (2007). Numbers follow a surprising law of digits, and scientists can't explain why. physorg.com, 10 May. View Complete Reference Online information Works that this work references No Bibliography works reference this work