Cross Reference Up

Hill, TP (1995). Base-Invariance Implies Benford's Law. Proceedings of the American Mathematical Society 123(3), pp. 887-895.

This work is cited by the following items of the Benford Online Bibliography:

Note that this list may be incomplete, and is currently being updated. Please check again at a later date.


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 . DOI:10.2139/ssrn.1505147. View Complete Reference Online information Works that this work references Works that reference this work
Alexopoulos, T and Leontsinis, S (2014). Benford's Law in Astronomy. Journal of Astrophysics and Astronomy, 35(4), pp. 639-648. ISSN/ISBN:0250-6335. DOI:10.1007/s12036-014-9303-z. View Complete Reference Online information Works that this work references Works that reference this work
Allaart, PC (1997). An invariant-sum characterization of Benford's law. Journal of Applied Probability 34(1), pp. 288-291. View Complete Reference Online information Works that this work references Works that 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/ISBN:1084-8045. DOI:10.1016/j.jnca.2013.09.007. View Complete Reference Online information Works that this work references Works that reference this work
Baumeister, J and Macedo, TG (2011). Von den Zufallszahlen und ihrem Gebrauch. Stand: 21, November 2011. GER View Complete Reference Online information Works that this work references No Bibliography works 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). Multi-dimensional dynamical systems and Benford's law. Discrete and Continuous Dynamical Systems 13(1), 219-237. ISSN/ISBN:1078-0947. View Complete Reference Online information Works that this work references Works that 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/ISBN:0002-9947. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Eshun, G (2014). Benford solutions of linear difference equations. Theory and Applications of Difference Equations and Discrete Dynamical Systems, Springer Proceedings in Mathematics & Statistics Volume 102, pp. 23-60. ISSN/ISBN:978-3-662-44139-8. DOI:10.1007/978-3-662-44140-4_2. 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; posted on math arXiv 14May 2010. 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, pp. 1-126. DOI:10.1214/11-PS175. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Hill, TP (2015). An Introduction to Benford's Law. Princeton University Press: Princeton, NJ. ISSN/ISBN:9780691163062. 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/ISBN:0894-9840. 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
Brähler, G, Bensmann, M and Emke, AL (2010). Der Einsatz mathematisch-statistischer Methoden in der digitalen Betriebsprüfung. Illmenauer Schriften zur Betriebswirtschaftslehre 4/2010. GER 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. ISSN/ISBN:978-3-940882-28-8. GER View Complete Reference Online information Works that this work references No Bibliography works 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 Works that reference this work
Campos, L, Salvo, AE and Flores-Moya, A (2016). Natural taxonomic categories of angiosperms obey Benford's law, but artificial ones do not. Systematics and Biodiversity, in press. ISSN/ISBN:1477-2000 (Print)/ 1. DOI:10.1080/14772000.2016.1181683. View Complete Reference Online information Works that this work references No Bibliography works 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 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
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
Costa, J, dos Santos, J and Travassos, S (2012). An Analysis of Federal Entities’ Compliance with Public Spending: Applying the Newcomb-Benford Law to the 1st and 2nd Digits of Spending in Two Brazilian States*. R. Cont. Fin. – USP, São Paulo, v. 23, n. 60, pp. 187-198. View Complete Reference Online information Works that this work references Works that 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
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/ISBN:0266-4763. View Complete Reference Online information Works that this work references Works that reference this work
Diniz, JA, Corrar, LJ and Slomski, V (2010). Análise digital: uma abordagem cognitiva na detecção de não conformidade em prestações de contas municipais. Anais do Congresso Controladoria e Contabilidade USP, São Paulo, SP, Brasil. POR 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. Proceedings of 6th Congresso USP de Controladoria e Contabilidade. POR 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/ISBN:0393-5965. 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, Tenório, JNB and Silva, LGC (2003). Uma aplicação da Teoria das probabilidades na contabilometria: A Lei de Newcomb-Benford como medida para análise de dados no campo da auditoria contábil. Contabilidade, Gestão e Governança, 6(1), pp. 35-54. POR View Complete Reference No online information available Works that this work references Works that reference this work
dos Santos, J, Diniz, JA and Ribeiro Filho, JF (2003). A Lei de Newcomb- Benford: uma aplicação para determinar o DNA-equivalente das despesas no setor público. Proceedings of 3rd Congresso usp de controladoria e contrabilidade congresso, Brazil. POR 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
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
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
Farbaniec, M, Grabiński, T, Zabłocki, B and Zając, W (2011). Application of the first digit law in credibility evaluation of the financial accounting data based on particular cases. Presentation for 10th International Congress on Internal Control, Internal Audit, Fraud and Anti-Corruption Issues, Kraków, September 14-16, 2011. 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/ISBN:0730-8639. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Fellman, J (2014). The Benford paradox. Journal of statistical and econometric methods 3(4), pp. 1-20. ISSN/ISBN:2241-0384 . View Complete Reference Online information Works that this work references Works that 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
Fox, RF and Hill, TP (2014). Hubble’s Law Implies Benford’s Law for Distances to Stars. Prerprint Physics arXiv; posted on December 4, 2014.. View Complete Reference Online information Works that this work references Works that reference this work
Freidank, C-C and Kusch, A (2008). Das Benfordsche Gesetz als Instrument zur Aufdeckung von Unregelmäßigkeiten im Rahmen der Jahresabschlussprüfung. Wirtschaftswissenschaftliches Studium, Vol. 37, No. 2, pp. 100-102. ISSN/ISBN:0340-1650. GER View Complete Reference Online information Works that this work references Works that reference this work
Frey, B (2006). Spot Faked Data. Hack #64 in: Statistic Hacks, pp 251-262 O'Reilley Media, Sebastopol, CA. ISSN/ISBN:978-0-596-10164-0. 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
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/ISBN:0987-6936. FRE 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 (2011). Scatter and Regularity Implies Benford's Law... and More. in H. Zenil (Ed.) Randomness Through Complexity, Singapore, World Scientific, 53-69. ISSN/ISBN:13978-981-4327-74-9. View Complete Reference Online information Works that this work references Works that reference this work
Gauvrit, N and Delahaye, JP (2008). Pourquoi la loi de Benford n’est pas mysterieuse. Mathematiques et sciences humaines, Vol. 46, no 2, pp. 7–15. FRE View Complete Reference No online information available Works that this work references No Bibliography works reference this work
Genest, V and Genest, C (2011). La loi de Newcomb-Benford ou la loi du premier chiffre significatif. Bulletin Association Mathématique du Québec, Vol. LI, no 2, pp. 22-39. FRE 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 No online information available 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
Giuliano, R and Janvresse, E (2010). A unifying probabilistic interpretation of Benford's Law. Uniform Distribution Theory 5(2), pp. 169-182. ISSN/ISBN:1336-913X. 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 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
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/ISBN: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
Grabiński, T, Farbaniec, M, Zabłocki, B and Zając,W  (2012). Application of the First Digit Law in Credibility Evaluation of the Financial-Accounting Data Based on Particular Cases. Auditor Journal for Theory and Practice, Revisor, Godina XV - br. 59 - septembar. ISSN/ISBN:1450-7005. 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/ISBN:1367-4803. View Complete Reference Online information Works that this work references Works that reference this work
Guilherme, HF, Montenegro, JM and dos Santos, J (2003). Uma aplicação da teoria das probabilidades na contabilometria: A Lei de Newcomb-Benford como uma Medida para Análise de Dados no Campo da Auditoria Contábil. Reference unknown. POR View Complete Reference No online information available Works that this work references No Bibliography works reference this work
Hanzal, P and Faltová LI (2010). Ověření platnosti Benfordova modelu v oboru účetních dat podnikatelských subjektů v České republice [The Examination of the Validity of Benford's model on Scope of Accounting Data of Entepreneurial Units in the Czech Republic]. Acta Universitatis Bohemiae Mendionales, č. 4, s. 39-45. ISSN/ISBN:1212-3285. CZE View Complete Reference No online information available Works that this work references Works that 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), pp. 333-349. ISSN/ISBN:1573-7799. DOI:10.1007/s10940-010-9094-6. View Complete Reference Online information 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), pp. 354-363. ISSN/ISBN: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), pp. 322-327. DOI:10.2307/2974952. 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, pp. 776-778 Part 1. ISSN/ISBN:0031-5215. DOI:10.2466/pms.1996.83.3.776. 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, pp. 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), pp. 358-363. ISSN/ISBN:0003-0996. DOI:10.1511/1998.4.358. 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. GER View Complete Reference Online information Works that this work references No Bibliography works reference this work
Hobza, T and Vajda, I (2001). On the Newcomb-Benford law in models of statistical data. Revista Matematica Complutense XIV(2), pp. 407-420. ISSN/ISBN: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 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, pp. 138–150. Schriftenreihe der ISTRON-Gruppe, Franzbecker, Hildesheim. GER View Complete Reference Online information Works that this work references Works that reference this work
Hüngerbühler, N (2007). Benfords Gesetz über führende Ziffern: Wie die Mathematik Steuersündern das Fürchten lehrt. EDUCETH - Das Bildungsportal der ETH Zürich. GER 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), pp. 217-228. View Complete Reference Online information Works that this work references Works that reference this work
Hürlimann, W (2004). Integer powers and Benford’s law. International Journal of Pure and Applied Mathematics 11(1), pp. 39-46. View Complete Reference No online information available Works that this work references 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. DOI:10.1155/2009/970284. View Complete Reference Online information Works that this work references Works that reference this work
Iafrate, JR (2014). Benford’s Law and Power Law Behavior in Fragmentation Processes. Undergraduate Honors Thesis, Williams College, Williamstown, MA. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Iorliam, A, Tirunagari, S, Ho, ATS, Li, S, Waller, A and Poh, N (2017). "Flow Size Difference" Can Make a Difference: Detecting Malicious TCP Network Flows Based on Benford's Law. arXiv:1609.04214v2 [cs.CR], last accessed February 6, 2017. View Complete Reference Online information Works that this work references No Bibliography works 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
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
Janvresse, É (2012). Quelques contributions aux probabilités eta la théorie ergodique. Document de synthèse présenté pour l’Habilitation à Diriger 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), pp. 1203-1210. ISSN/ISBN: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. DOI:10.2436/20.2002.01.18. CAT View Complete Reference Online information Works that this work references No Bibliography works reference this work
Jasak, Z (2014). Benford’s Law and Invariances. Journal of Mathematics and System Science, 4(7), pp. 457-462. ISSN/ISBN:2159-5291. 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. In Proceedings of IEEE International Symposium on Signal Processing and Information Technology, 2008. ISSPIT 2008, pp. 453-458 . ISSN/ISBN:978-1-4244-3554-8. DOI:10.1109/ISSPIT.2008.4775660. View Complete Reference Online information Works that this work references Works that reference this work
Joannes-Boyau, R, Bodin, T, Scheffers, A, Sambridge, M and May, SM (2015). Using Benford’s law to investigate Natural Hazard dataset homogeneity. Nature -Scientific Reports 5:12046, pp. 1-8 . DOI:10.1038/srep12046. View Complete Reference Online information Works that this work references Works that reference this work
Khosravani, A and Rasinariu, C (2013). n-Digit Benford Distributed Random Variables. Advances and Applications in Statistics, 36, pp. 119-130. View Complete Reference Online information Works that this work references Works that reference this work
Khosravani, A and Rasinariu, C (2015). n-digit Benford converges to Benford. Int. J. Math. Math. Sci. 2015, Art. ID 123816, 4 pp. 60F25 (11K45). DOI:10.1155/2015/123816. 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
Kossovsky, AE (2006). Towards a Better Understanding of the Leading Digits Phenomena. posted December 21, 2006 on arXiv:math/0612627. View Complete Reference Online information Works that this work references Works that reference this work
Kossovsky, AE (2014). Benford's Law: Theory, the General Law of Relative Quantities, and Forensic Fraud Detection Applications. World Scientific Publishing Company: Singapore. ISSN/ISBN:978-981-4583-68-8. View Complete Reference Online information 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, pp. 289-303. ISSN/ISBN:0024-6107. DOI:10.1112/S0024610706023131. View Complete Reference Online information Works that this work references Works that 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), pp. 82-88. DOI:10.1016/j.spl.2009.09.015. 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
Li, Q, Fu, Z and Yuan, N (2015). Beyond Benford's Law: Distinguishing Noise from Chaos. PLoS ONE, 10, e0129161. DOI:10.1371/journal.pone.0129161. 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. posted on arXiv:math/0408057, Aug 4, 2004. View Complete Reference Online information Works that this work references Works that 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/ISBN:1450-2887. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lolbert, T (2006). Digital Analysis: Theory and Applications in Auditing. Hungarian Statistical Review 84, Special number 10, p. 148. ISSN/ISBN: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. HUN 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), pp. 103-106. ISSN/ISBN:0165-4896. DOI:10.1016/j.mathsocsci.2007.09.001. View Complete Reference Online information Works that this work references Works that reference this work
Lowe, T, Murphy, S and Hayward, J (1999). The first digit law. Preprint. View Complete Reference No online information available Works that this work references No Bibliography works 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. DOI:10.1098/rspa.2009.0126. View Complete Reference Online information Works that this work references Works that 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 (ed.) (2015). Benford's Law: Theory and Applications. Princeton University Press: Princeton and Oxford. ISSN/ISBN:978-0-691-14761-1. View Complete Reference Online information Works that this work references Works that reference this work
Mir, TA (2011). Law of the leading digits and the ideological struggle for numbers. physics arXiv:1104.3948. DOI:10.1016/j.physa.2011.09.001. 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), pp. 792-798. DOI:10.1016/j.physa.2011.09.001. 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. DOI:10.1007/s11135-014-0147-z. 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. Physica A 408, pp. 1-9. DOI:10.1016/j.physa.2014.03.074. View Complete Reference Online information Works that this work references Works that reference this work
Mir, TA (2016). Citations to articles citing Benford's law: a Benford analysis. arXiv:1602.01205; posted Feb 3, 2016. View Complete Reference Online information Works that this work references Works that reference this work
Mir, TA and Ausloos, M (2017). Benford's law: a 'sleeping beauty' sleeping in the dirty pages of logarithmic tables. Journal of the Association for Information Science and Technology. DOI:10.1002/asi.23845. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Mir, TA, Ausloos, M and Cerqueti, R (2014). Benford’s law predicted digit distribution of aggregated income taxes: the surprising conformity of Italian cities and regions. Eur. Phys. J. B (2014) 87: 261. ISSN/ISBN:1434-6028. DOI:10.1140/epjb/e2014-50525-2. View Complete Reference Online information Works that this work references Works that reference this work
Mitchell, J (2001). Clustering and psychological barriers: the importance of numbers. Journal of Futures Markets 21(5), pp. 395-428. ISSN/ISBN:0270-7314. DOI:10.1002/fut.2. View Complete Reference Online information Works that this work references Works that reference this work
Mochty, L (2002). Die Aufdeckung von Manipulationen im Rechnungswesen - Was leistet das Benford's Law?. Die Wirtschaftsprüfung 14, pp. 725-736. GER View Complete Reference Online information 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. Research Proposal . View Complete Reference No online information available Works that this work references No Bibliography works reference this work
Morrow, J (2010). Benford's Law, Families of Distributions and a Test Basis. http://www.johnmorrow.info/projects/benford/benfordMain.pdf; last accessed Aug 22, 2016.. 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 August 23, 2016 at: http://submission.org/Benford.html. View Complete Reference Online information 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/ISBN:1749-5652. View Complete Reference Online information Works that this work references No Bibliography works 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
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 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/ISBN:0882-8121. 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/ISBN:0264-9381. View Complete Reference Online information Works that this work references No Bibliography works 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/ISBN:1539-3755. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Pérez-González, F, Heileman, G and Abdallah, CT (2007). A generalization of Benford’s Law and its application to images. European Control Conference’2007, Kos, Greece, July 2007, pp. 3613 - 3619. ISSN/ISBN:9783952417386 . 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
Phatarfod, R (2013). Some aspects of the Benford law of leading significant digits. The Mathematical Scientist, Applied Probability Trust, 38 (2), pp 73-85. ISSN/ISBN:03123685. 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
Pimbley, JM (2014). Benford’s Law as a Logarithmic Transformation. Maxwell Consulting Archives, http://www.maxwell-consulting.com/Benford_Logarithmic_Transformation.pdf. Last retrieved 10 September 2014. View Complete Reference Online information Works that this work references Works that reference this work
Plaček, M (2014). Aplikace Benfordova zákona na vládní makroekonomická data: případ obchodní bilance. Trendy ekonomiky a managementu VIII, č. 19, pp. 45-51. ISSN/ISBN:1802-8527. CZE 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/ISBN:1434-6028. View Complete Reference Online information Works that this work references Works that reference this work
Posch, PN (2004). Ziffernanalyse in der Fälschungsaufspürung. Benford’s Gesetz und Steuererklärungen in Theorie und Praxis. Unpublished manuscript. GER 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. GER 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 Works that 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/ISBN:0129-0541. View Complete Reference Online information Works that this work references Works that 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
Rodriguez, RJ (2004). First Significant Digit Patterns from Mixtures of Uniform Distributions. American Statistician 58(1), 64-71. ISSN/ISBN: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
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
Ross, KA (2011). Benford's Law, a growth industry. American Mathematical Monthly 118 (7), pp. 571-583. ISSN/ISBN:0002-9890. DOI:10.4169/amer.math.monthly.118.07.571. 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
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/ISBN: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: L22301. DOI:10.1029/2010GL044830. 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. E-print online. Last accessed 26Mar2015. 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/ISBN:1015-8812. 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/ISBN:0304-4149. DOI:10.1016/j.spa.2007.07.017. View Complete Reference Online information Works that this work references Works that 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
Sen, A and Sen, U (2011). Benford's law detects quantum phase transitions similarly as earthquakes. EPL (Europhysics Letters) 95(5), 50008, 1-6. DOI:10.1209/0295-5075/95/50008. View Complete Reference Online information Works that this work references Works that reference this work
Shao, L and Ma, BQ (2009). First Digit Distribution of Hadron full width. Modern Physics Letters A, 24(40), 3275-3282. ISSN/ISBN:0217-7323. DOI:10.1142/S0217732309031223. 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. DOI:10.1016/j.astropartphys.2010.02.003. 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. DOI:10.1016/j.physa.2010.04.021. 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. DOI:10.1103/PhysRevE.82.041110. View Complete Reference Online information Works that this work references Works that reference this work
Shukla, A, Pandey, AK and Pathak, A (2017). Benford’s distribution in extrasolar world: Do the exoplanets follow Benford’s distribution?. Journal of Astrophysics and Astronomy JOAA-D-16-00138, forthcoming. View Complete Reference Online information Works that this work references No Bibliography works 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
Stoschek, EP and Schönfeld, D (2002). Benford's Law - Places of interest near Benford's Law. Module 45 of: Workshop on Design of Algorithms. GER View Complete Reference No online information available 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 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
Tödter, K-H (2009). Benford's Law as an Indicator of Fraud in Economics. German Economic Review 10(3), 339-351. DOI:10.1111/j.1468-0475.2009.00475.x. 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/ISBN:1054-1500. DOI:10.1063/1.166498. View Complete Reference Online information Works that this work references 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/ISBN:0143-0807. DOI:10.1088/0143-0807/28/3/N04. View Complete Reference Online information Works that this work references Works that reference this work
Tucson, M (2000). Numerical Structure of the Quran - An Approach Based on Benford's Law. Submitters Perspective Vol 16, No. 7. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Uhlig, N (2016). Rundum das Benfordsche Gesetz. Diploma thesis, University of Leipzig, Fakultät für Mathematik und Informatik. GER 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. Math arXiv:1203.2518; posted 19 Apr 2012. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Vardi, I (1999). Premiers chiffres significatifs et nombres algébriques. [Leading digits and algebraic numbers.]. Comptes rendus de l’Academie des sciences, Serie I 328 (9), 749-754. ISSN/ISBN:0764-4442. DOI:10.1016/S0764-4442(99)80265-1. FRE View Complete Reference Online information Works that this work references No Bibliography works reference this work
Verkade, T (2015). Wat het cijfer 1 allemaal over ons prijsgeeft. Posted on De Correspondent June 16, 2015; last accessed March 24, 2016. DUT View Complete Reference Online information Works that this work references No Bibliography works reference this work
Volcic, A (1996). The First Digit Problem and Scale-Invariance. In: P. Marcellini, G. Talenti and E. Vesentini (eds), Partial differential equations and applications: collected papers in honor of Carlo Pucci. Marcel Dekker, pp. 329-340 . View Complete Reference Online information Works that this work references No Bibliography works 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. DOI:10.1007/s11846-008-0019-9. 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
Williamson, J (2000). Random probability functions. Preprint. 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 Works that reference this work
Zhao, S and Wu, 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. ISSN/ISBN:978-1-4244-5325-2. DOI:10.1109/ICMSS.2010.5575999. View Complete Reference Online information Works that this work references Works that reference this work