Cross Reference Up

Hill, TP (1998). The First-Digit Phenomenon. American Scientist 86 (4), pp. 358-363.

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Adam, A and Tsarsitalidou, S (2022). Data misreporting during the COVID19 crisis: The role of political institutions. Economics Letters 213, p. 110348. DOI:10.1016/j.econlet.2022.110348. View Complete Reference Online information Works that this work references Works that reference this work
Akkaş, ME (2007). Denetimde Benford Kanununun Uygulanmasi (Application of Benford's Law in Audit). Gazi Universitesi Iktisadi ve Idari Bilimler Fakultesi Dergisi, vol.9, no.1, pp. 191-206. TUR View Complete Reference Online information Works that this work references Works that reference this work
Alshaikh, L (2022). Benford's Law on Social Media. Young Scientists Journal, posted January 16, 2022, last accessed January 31, 2022. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Alves, AM and Lyra, CS (2008). Manchas Solares y la Ley de Newcomb-Benford. . RELEA 6, pp. 21-31. DOI:10.37156/RELEA/2008.06.021. SPA View Complete Reference Online information Works that this work references Works that 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), pp. 5-20. DOI:10.1108/03074350010766954. View Complete Reference Online information Works that this work references Works that reference this work
Anderson, KM, Dayaratna, K, Gonshorowski, D and Miller, SJ (2022). A New Benford Test for Clustered Data with Applications to American Elections. Stats 5(3), pp. 841–855. DOI:10.3390/stats5030049 . 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/ISBN:0002-9939. View Complete Reference Online information Works that this work references Works that 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 Academic Publishers. View Complete Reference Online information Works that this work references Works that reference this work
Aschwanden, D and Diekmann, A (2011). Analyse der Schweizer Nationalratswahlen von 2007 mit dem Benford’schen Gesetz. Gruppenarbeit an der ETH Zürich, betreut von Prof. Andreas Diekmann. GER View Complete Reference Online information Works that this work references No Bibliography works reference this work
Ausloos, M, Cerqueti, R and Mir, TA (2017). Data science for assessing possible tax income manipulation: The case of Italy. Chaos, Solitons and Fractals 104, pp. 238–256. DOI:10.1016/j.chaos.2017.08.012. View Complete Reference Online information Works that this work references Works that reference this work
Azevedo, CdS, Gonçalves, RF, Gava, VL and Spinola, MdM (2021). A Benford’s Law based methodology for fraud detection in social welfare programs: Bolsa Familia analysis. Physica A 567, p. 125626. DOI:10.1016/j.physa.2020.125626. View Complete Reference Online information Works that this work references Works that reference this work
Badal-Valero, E, Alvarez-Jareño, JA and Pavía, JM (2018). Combining Benford's Law and machine learning to detect money laundering. An actual Spanish court case. Forensic Science International 282, pp. 24-34. DOI:10.1016/j.forsciint.2017.11.008. View Complete Reference Online information Works that this work references Works that reference this work
Balashov, VS, Yan, Y and Zhu, X (2020). Who Manipulates Data During Pandemics? Evidence from Newcomb-Benford Law. Preprint arXiv:2007.14841 [econ.GN]; last accessed March 10, 2021. View Complete Reference Online information Works that this work references Works that reference this work
Balashov, VS, Yan, Y and Zhu, X (2021). Using the Newcomb–Benford law to study the association between a country’s COVID-19 reporting accuracy and its development. Scientific Reports 11, pp. 22914. DOI:10.1038/s41598-021-02367-z. View Complete Reference Online information Works that this work references Works that reference this work
Bao, Y, Heilig, F, Lee, C-H and Lusk, EJ (2018). Full range testing of the small size effect bias for Benford screening: A note. International Journal of Economics and Finance 10(6), pp. 47-52. DOI:10.5539/ijef.v10n6p47. View Complete Reference Online information Works that this work references Works that reference this work
Bao, Y, Lee, C-H, Heilig, F and Lusk, EJ (2018). Empirical information on the small size effect bias relative to the false positive rejection error for Benford test-screening. International Journal of Economics and Finance 10(2), pp. 1-9. DOI:10.5539/ijef.v10n2p1. View Complete Reference Online information Works that this work references Works that reference this work
Barjaktarović, L , Milojević, M and Terzić, I. (2014). Results of Applience of Benford’s Law on Serbian Companies. Proceedings of XIV International Symposium SymOrg, Zlatibor. View Complete Reference Online information Works that this work references Works that reference this work
Becker, T, Burt, D, Corcoran, TC, Greaves-Tunnell, A, Iafrate, JR, Jing, J, Miller, SJ, Porfilio, JD, Ronan, R, Samranvedhya, J, Strauch, FW and Talbut, B (2018). Benford's Law and Continuous Dependent Random Variables. Annals of Physics 388, pp. 350–381. DOI:10.1016/j.aop.2017.11.013. View Complete Reference Online information Works that this work references Works that reference this work
Becker, T, Corcoran, TC, Greaves-Tunnell, A, Iafrate, JR, Jing, J, Miller, SJ, Porfilio, JD, Ronan, R, Samranvedhya, J and Strauch, FW (2013). Benford's Law and Continuous Dependent Random Variables. Preprint arXiv:1309.5603 [math.PR]; last accessed October 23, 2018. DOI:10.1016/j.aop.2017.11.013. View Complete Reference Online information Works that this work references Works that reference this work
Best, A, Dynes, P, Edelsbrunner, X, McDonald, B, Miller, SJ, Tor, K, Turnage-Butterbaugh, C and Weinstein, M (2014). Benford Behavior of Zeckendorf Decompositions. Fibonacci Quarterly 52(5), pp. 35–46. View Complete Reference Online information Works that this work references Works that reference this work
Best, A, Dynes, P, Edelsbrunner, X, McDonald, B, Miller, SJ, Tor, K, Turnage-Butterbaugh, C and Weinstein, M (2017). Benford Behavior of Generalized Zeckendorf Decompositions. In: Nathanson M. (eds) Combinatorial and Additive Number Theory II. CANT 2015, CANT 2016. Springer Proceedings in Mathematics & Statistics, vol 220. Springer, Cham. DOI:10.1007/978-3-319-68032-3_3. View Complete Reference Online information Works that this work references Works that reference this work
Betti, L, Durmić, I, McDonald, Z, Miller, JB and Miller, SJ (2023). Benfordness of Measurements Resulting from Box Fragmentation. Preprint arXiv:2304.08335 [math.PR]; last accessed April 29, 2023. 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), pp. 7-14. View Complete Reference Online information Works that this work references Works that reference this work
Bhole, G, Shukla, A and Mahesh, TS (2014). Benford distributions in NMR. Preprint arXiv:1406.7077 [physics.data-an]; last accessed June 7, 2018. View Complete Reference Online information Works that this work references Works that reference this work
Bhole, G, Shukla, A and Mahesh, TS (2015). Benford analysis: A useful paradigm for spectroscopic analysis. Chemical Physics Letters 639, pp. 36–40. DOI:10.1016/j.cplett.2015.08.061. View Complete Reference Online information Works that this work references Works that reference this work
Bi, Z, Durmić, I and Miller, SJ (2022). Benfordness of the Generalized Gamma Distribution. Preprint arXiv:2201.10514 [math.PR]; last accessed January 31, 2022. Published in The PUMP Journal of Undergraduate Research 5, pp. 89–104. View Complete Reference Online information Works that this work references Works that reference this work
Biau, D. (2015). The first-digit frequencies in data of turbulent flows. Physica A: Statistical Mechanics and its Applications Volume 440, pp. 147-154. DOI:10.1016/j.physa.2015.08.016. View Complete Reference Online information Works that this work references Works that reference this work
Blondeau Da Silva, S (2020). Limits of Benford’s Law in Experimental Field. International Journal of Applied Mathematics 33(4), pp. 685-695. DOI:10.12732/ijam.v33i4.12. 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), pp. 2-6. DOI:10.1111/j.1467-9639.2009.00347.x. View Complete Reference Online information Works that this work references Works that reference this work
Bradley, JR and Farnsworth, DL (2009). Beispiele und Schüleraktivitäten zum BENFORD-Gesetz. Stochastik in der Schule (SiS) 29(3), pp. 28-32 . ISSN/ISBN:1614-0443. GER View Complete Reference Online information Works that this work references No Bibliography works 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 Works that 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 Works that 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 (2002). Naked-Eye Quantum Mechanics: Practical Applications of Benford's Law for Integer Quantities. Frequencies - The Journal of Size Law Applications, Special Paper #1, pp. 1-8. 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), pp. 761-769. ISSN/ISBN:0276-8739. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Burgos, A and Santos, A (2021). The Newcomb–Benford law: Scale invariance and a simple Markov process based on it (Previous title: The Newcomb–Benford law: Do physicists use more frequently the key 1 than the key 9?). Preprint arXiv:2101.12068 [physics.pop-ph]; last accessed August 8, 2022; Published Am. J. Phys. 89, pp. 851-861. View Complete Reference Online information Works that this work references Works that reference this work
Burns, BD (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
Burns, BD (2020). Do people fit to Benford’s law, or do they have a Benford bias?. Proceedings of the 42nd Annual Virtual Meeting of the Cognitive Science Society, pp. 1729-1735. 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), pp. 3435-3451. ISSN/ISBN:0277-6715. DOI:10.1002/(SICI)1097-0258(19991230)18:24<3435::AID-SIM365>3.0.CO;2-O. View Complete Reference Online information Works that this work references Works that reference this work
Cakebread, K (2011). Detecting Manipulations in Data with Benford's Law – A C# Class. Posted on codeproject.com; last accessed Jun 8, 2019. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Canessa, E (2003). Theory of analogous force on number sets. Physica A 328, pp. 44-52. DOI:10.1016/S0378-4371(03)00526-0. View Complete Reference Online information Works that this work references Works that 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
Castañeda, G (2011). La ley de Benford y su aplicabilidad en el análisis forense de resultados electorales [Benford’s Law and its Applicability in the Forensic Analysis of Electoral Results]. Política y gobierno 18(2), pp. 297-329. SPA View Complete Reference Online information Works that this work references Works that reference this work
Cerqueti, R, Maggi, M and Riccioni, J (2022). Statistical methods for decision support systems in finance: how Benford’s law predicts financial risk. Annals of Operations Research. DOI:10.1007/s10479-022-04742-z. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Chanda, T, Das, T, Sadhukhan, D, Pal, AK, Sen(De), A and Sen, U (2015). Statistics of leading digits leads to unification of quantum correlations. Europhysics Letters 114(3). DOI:10.1209/0295-5075/114/30004. View Complete Reference Online information Works that this work references Works that reference this work
Chatterjee, S, Sarkar, A, Karmakar, M, Chatterjee, S and Paul, R (2020). EIRD model to study the asymptomatic growth during COVID-19 pandemic in India. Indian Journal of Physics. DOI:10.1007/s12648-020-01928-8. 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), pp. 218-223. ISSN/ISBN: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. DOI:10.1007/s10899-009-9145-9. 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. Unpublished manuscript. 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), pp. 283-296. ISSN/ISBN:0010-4620. DOI:10.1093/comjnl/41.5.283. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Cole, MA, Maddison, DJ and Zhang, L (2020). Testing the emission reduction claims of CDM projects using the Benford's Law. Climatic Change 160 (3), pp. 407–426. DOI:10.1007/s10584-019-02593-5. View Complete Reference Online information Works that this work references Works that reference this work
Costa, JI, Henriques, DBB, Melo, S and dos Santos, J (2012). Análise de métodos contabilométricos para determinação de conformidade da Lei Newcomb-Benford aplicados à auditoria contábil. [An analysis of Benford’s law conformity contabilometric methods applied to audit accounting] . Revista Gestão Pública: Práticas e Desafios, Recife, v. III, n. 6, pp. 292-314. POR View Complete Reference Online information Works that this work references Works that reference this work
Cuff, V , Lewis, A and Miller, SJ (2015). The Weibull distribution and Benford’s law. Involve Vol. 8 No. 5, pp. 859–874. DOI:10.2140/involve.2015.8.859. View Complete Reference Online information Works that this work references Works that reference this work
Cymrot, R, da Rocha, FR and Ferreira, DS (2012). Análise dos Dígitos Industriais Baseada na Lei de Benford e sua Aplicação Utilizando Rotinas Computacionais. Revista Mackenzie de Engenharia e Computaco, vol.12, number 1. POR View Complete Reference Online information Works that this work references No Bibliography works reference this work
da Cunha, FCR (2013). Aplicações da lei Newcomb-Benford à auditoria de obras públicas [Applications of the Newcomb-Benford Law on Audit of Public Works]. Masters Thesis, University of Brasilia. POR View Complete Reference Online information Works that this work references Works that reference this work
Dang, CT and Owens, T (2019). Does transparency come at the cost of charitable services? Evidence from investigating British charities. CREDIT Research Paper 19/02; published (2020) in Journal of Economic Behavior & Organization 172, pp. 314–343. View Complete Reference Online information Works that this work references Works that reference this work
Dantuluri, A and Desai, S (2018). Do tau lepton branching fractions obey Benford's law?. Physica A: Statistical Mechanics and its Applications 506, pp. 919-928. DOI:10.1016/j.physa.2018.05.013. 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
Demirdöven, K (2019). Adli Muhasebeciler İçin Benford’un Hukukunun Etkinliğinin Bir Araştirma Araci Olarak Değerlendirilmesi [Evaluation of the Effectiveness of Benford's Law as a Research Tool for Forensic Accountants]. Masters Project, Istanbul Esenyurt University. TUR View Complete Reference Online information Works that this work references No Bibliography works reference this work
Diekmann, A (2002). Diagnose von Fehlerquellen und methodische Qualität in der sozialwissen- schaftlichen Forschung [Sources of bias and quality of data in social science research]. Institute of Technology Assessment (ITA) Working Paper No. ITA-02-04. DOI:10.2139/ssrn.518402. GER 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), pp. 321-329. ISSN/ISBN:0266-4763. DOI:10.1080/02664760601004940. View Complete Reference Online information Works that this work references Works that reference this work
Diekmann, A and Jann, B (2010). Benford’s Law and Fraud Detection: Facts and Legends. German Economic Review 11(3), pp. 397–401. DOI:10.1111/j.1468-0475.2010.00510.x. View Complete Reference Online information Works that this work references Works that reference this work
dos Santos, CC (2014). Aplicação da Lei de Benford na auditoria : estudo de caso [Application of Benford's Law in Auditing - Case Study] . Masters thesis, Instituto Politécnico de Leiria. POR View Complete Reference Online information Works that this work references Works that 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 Online information 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
Drake, PD and Nigrini, MJ (2000). Computer assisted analytical procedures using Benford’s law. Journal of Accounting Education 18, pp. 127-146. DOI:10.1016/S0748-5751(00)00008-7. View Complete Reference Online information Works that this work references Works that reference this work
Drew, JH, Evans, DL, Glen, AG and Leemis, LM (2017). Products of Random Variables. In:Computational Probability: Algorithms and Applications in the Mathematical Sciences, Springer International Publishing, pp. 73-86. ISSN/ISBN:978-3-319-43323-3. DOI:10.1007/978-3-319-43323-3. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Drew, JH, Evans, DL, Glen, AG and Leemis, LM (2017). Other Applications. In: Computational Probability. International Series in Operations Research & Management Science, vol 246. Springer, Cham, pp. 301-321. ISSN/ISBN:978-3-319-43323-3. DOI:10.1007/978-3-319-43323-3_15. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Ducharme, RG, Kaci, S and Vovor-Dassu ,C (2020). Smooths Tests of Goodness-of-fit for the Newcomb-Benford distribution. Preprint: arXiv:2003.00520v1 [math.ST]. Published in Mathématiques appliquées et stochastiques, 3(1). FRE 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, pp. 99-112. ISSN/ISBN:1083-589X. DOI:10.1214/ECP.v13-1358. View Complete Reference Online information Works that this work references Works that reference this work
Durmić, I (2022). Benford Behavior of a Higher Dimensional Fragmentation Processes. Undergraduate thesis, Williams College, Williamstown, Massachusetts. View Complete Reference Online information Works that this work references Works that reference this work
Durmić, I and Miller SJ (2023). Benford Behavior of a Higher-Dimensional Fragmentation Process. Preprint arXiv:2308.07404 [math.PR]; last accessed August 24, 2023. 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, pp. 17-34. View Complete Reference Online information Works that this work references Works that reference this work
Egbunike, FC and Amakor, CI (2013). Fraud & auditors analytical procedure: A test of Benford’s law. EBS Journal of Management Sciences 1(1), pp. 14-31. 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 Works that reference this work
Ellenberg, J and Sober, E (2011). Objective Probabilities in Number Theory. Philosophia Mathematica 19 (3), pp. 308-322. ISSN/ISBN: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, pp. 361-365. ISSN/ISBN:0167-7152. View Complete Reference Online information Works that this work references Works that reference this work
Erdoğan, M (2001). Muhasebe Hilelerinin Ortaya Çıkarılmasında Benford Yasası. Muhasebe ve Denetime Bakış, Yıl:1 (3), Ankara: Ocak, pp. 1-8. TUR View Complete Reference Online information Works that this work references Works that reference this work
Fang, X, Miller, SJ, Sun, M and Verga, A (2023). Generalized Continuous and Discrete Stick Fragmentation and Benford’s Law. Preprint arXiv:2309.00766 [math.PR]; last accessed September 12, 2023. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Fang, X, Miller, SJ, Sun, M and Verga, A (2024). Benford’s Law and Random Integer Decomposition with Congruence Stopping Condition. Preprint. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Farris, M, Luntzlara, N, Miller, SJ, Shao, L and Wang, M (2021). Recurrence Relations and Benford's Law. Statistical Methods & Applications 30, pp. 797–817. DOI:10.1007/s10260-020-00547-1. View Complete Reference Online information Works that this work references Works that reference this work
Farris, M, Luntzlara, N, Miller, SJ, Zhao, L and Wang, M (2019). Recurrence Relations and Benford’s Law. Preprint arXiv:1911.09238 [math.PR]; last accessed December 8, 2019. 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. Proceedings of XXVII Brazilian National Conference on Engineering, October 2007. 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
Frank, A (2006). Benford's law. Reason-and-Rhyme Blog. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Fu, Q, Fang, Z, Villas-Boas, SB and Judge, G (2014). An Investigation of the Quality of Air Data in Beijing. Unpublished manuscript. View Complete Reference Online information Works that this work references Works that reference this work
Gadetska, S, Dubnitskiy, V, Lukin, V and Khodyrev, A (2019). Application of Benford’s law (first-digit law, anomalous numbers law) in financial audit. Ivan Kozhedub Kharkiv National Air Force University (Knafu) Scientific Publications. DOI:10.30748/soi.2019.157.03. RUS View Complete Reference Online information Works that this work references No Bibliography works reference this work
Galati, L (2020). Do Municipally Owned Utilities Round Earnings Before Elections? An Application of the Benford's Law. Unpublished Master's Dissertation, University of Molise. DOI:10.13140/RG.2.2.36384.51204. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Gámez, RAM and Rivera, CEA (2009). Ley de Benford y sus aplicaciones. Undergraduate Thesis, . SPA View Complete Reference Online information Works that this work references Works that reference this work
Gauvrit, N, Houillon, J-C and Delahaye, J-P (2017). Generalized Benford’s Law as a Lie Detector. Advances in Cognitive Psychology 13(2), pp. 121-127. DOI:10.5709/acp-0212-x. View Complete Reference Online information Works that this work references Works that reference this work
Gava, AM and Vitiello, L (2014). Inflation, Quarterly Balance Sheets and the Possibility of Fraud: Benford's Law and the Brazilian case. Journal of Accounting, Business & Management Vol. 21 Issue 1, pp. 43-52. ISSN/ISBN:0216-423X. View Complete Reference Online information Works that this work references Works that reference this work
Gelman, A and Nolan, D (2002). Some Statistical Sampling and Data Collection Activities. Mathematics Teacher 95(9), pp. 688-693. 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. DOI:10.1130/G32787.1 . 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), pp. 229-246. ISSN/ISBN:0361-0918. DOI:10.1081/SAC-120028442. View Complete Reference Online information Works that this work references Works that reference this work
Geyer, D (2010). Detecting fraud in financial data sets. Journal of Business and Economics Research 8 (7), pp.75-83. View Complete Reference Online information Works that this work references Works that reference this work
Giles, DE (2013). Exact Asymptotic Goodness-of-Fit Testing for Discrete Circular Data, With Applications. Chilean Journal of Statistics 4(1), pp.19-34. ISSN/ISBN:0718-7912. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Glen, S (2016). Benford’s Law (The First Digit Law): Simple Definition, Examples. From StatisticsHowTo.com: Elementary Statistics for the rest of us! Last accessed June 12, 2020. View Complete Reference Online information Works that this work references Works that reference this work
Glen, S (2024). Benford’s Law (The First Digit Law): Simple Definition, Examples. statisticshowto.com; last accessed 23 February 2024. View Complete Reference Online information Works that this work references Works that reference this work
Golbeck, J (2015). Benford’s Law Applies to Online Social Networks. PLoS ONE 10(8): e0135169. DOI:10.1371/journal.pone.0135169. View Complete Reference Online information Works that this work references Works that reference this work
Golbeck, J (2023). Benford’s Law applies to word frequency rank in English, German, French, Spanish, and Italian. PLoS ONE 18(9), pp. e0291337. DOI:10.1371/journal.pone.0291337. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Gómez-Camponovo M, Moreno, J, Idrovo, ÁJ, Páez, M and Achkar, M (2016). Monitoring the Paraguayan epidemiological dengue surveillance system (2009-2011) using Benford's law. Biomédica 36, pp. 583-92. DOI:10.7705/biomedica.v36i4.2731. View Complete Reference Online information Works that this work references Works that reference this work
Gönen, S and Rasgen, M (2016). Hile Denetiminde Benford Yasası: Borsa İstanbul Örneği [Benford's Law in Fraud Control: The Case of Borsa İstanbul]. Journal of International Trade, Finance and Logistics 1(1), pp. 93-113 . TUR 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 Works that reference this work
Goodman, WM (2023). Applying and Testing Benford's Law Are Not the Same. Spanish Journal of Statistics 5(1), pp. 43-53. DOI:10.37830/SJS.2023.1.03. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Grabowski, F and Trojanowski, P (2006). Benford's law in image analysis. Proceedings of the 1st Conference on Tools of Information Technology, Rzeszów, Poland, 15 September 2006, pp. 72-78. View Complete Reference Online information Works that this work references No Bibliography works 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, pp. 429-438. ISSN/ISBN:0378-4371. DOI:10.1016/j.physa.2007.02.062. View Complete Reference Online information Works that this work references Works that reference this work
Grime, J (2011). Benford's Law - How mathematics can detect fraud!. singingbanana.com youtube channel; last accessed July 28, 2018. 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
Guha, D, Mahapatra, PK, Misra, RP and Singh, Y (2020). Exploring the Applicability of Benford’s Law in Data Quality Management. Unpublished manuscript. View Complete Reference No online information available Works that this work references No Bibliography works 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. Terceiro (III) Congresso da USP de Controladoria e Contabilidade. POR View Complete Reference No online information available Works that this work references No Bibliography works reference this work
Günnel, S and Tödter, K-H (2009). Does Benford's law hold in economic research and forecasting?. Empirica 36, pp. 273-292. DOI:10.1007/s10663-008-9084-1. View Complete Reference Online information Works that this work references Works that 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), pp. 583-593. View Complete Reference Online information Works that this work references Works that reference this work
Halperin, M and Lusk, EJ (2016). Navigating the Benford labyrinth: A big-data Analytic protocol illustrated using the Academic library Context. Knowledge Management & E-Learning 8(1), pp. 138-157. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Heilig, F and Lusk, EJ (2017). A robust Newcomb-Benford account screening profiler: An audit decision support system. International Journal of Financial Research 8(3), pp. 27-39. DOI:10.5430/ijfr.v8n3p27. View Complete Reference Online information Works that this work references Works that reference this work
Heilig, F and Lusk, EJ (2018). Testing the Small Size Effect Bias for Benford Screening: The False Negative Signaling Error. Business Management Dynamics 8(6), pp. 23-34. View Complete Reference Online information Works that this work references Works that reference this work
Herbst, IW, Møller, J and Svane, AM (2023). How many digits are needed?. Preprint arXiv:2307.06685 [math.PR]; last accessed July 30, 2023. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Hindls, R and Hronová, S (2015). Benford’s Law and Possibilities for Its Use in Governmental Statistics. Statistika 95( 2), pp. 54-64. View Complete Reference Online information Works that this work references Works that reference this work
Holz, CA (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
Holz, CA (2014). The quality of China’s GDP statistics. China Economic Review, vol. 30, September 2014, pp. 309–338. DOI:10.1016/j.chieco.2014.06.009. 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 (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
Hussain, SA (2010). The Application of Benford's Law in Forensic Accounting: An Analysis of Credit Bureau Data. Available at SSRN 1626696; last accessed Mar 10, 2021. DOI:10.2139/ssrn.1626696. View Complete Reference Online information Works that this work references Works that reference this work
Idrovo, AJ (2009). Benford's Law to evaluate the detection and reporting of cases during the A(H1N1) influenza outbreak. Rapid Response to: "The economic impact of pandemic influenza", BMJ 2009;339:b4888. View Complete Reference Online information Works that this work references Works that 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/ISBN:1469-4409. DOI:10.1017/S095026881100015X. View Complete Reference Online information Works that this work references Works that reference this work
Idrovo, AJ and Manrique-Hernández, EF (2020). Data Quality of Chinese Surveillance of COVID-19: Objective Analysis Based on WHO’s Situation Reports. Asia Pacific Journal of Public Health, vol. 32(4), pp. 165–167. DOI:10.1177/1010539520927265. View Complete Reference Online information Works that this work references Works that reference this work
Ikoba, NA, Jolayemi, ET and Sanni, OOM (2018). Nigeria’s recent population censuses: a Benford-theoretic evaluation. African Population Studies 32(1), pp. 3974-3981. DOI:10.11564/32-1-1166. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Iorliam, A, Emmanual, O and Shehu, YI (2021). An Investigation of "Benford's" Law Divergence and Machine Learning Techniques for "Intra-Class" Separability of Fingerprint Images. Preprint arXiv:2201.01699 [cs.CV]; last accessed January 12, 2022. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Irwin, J (2015). The Effective Use of Benford’s Law to Assist in Detecting Fraud in U.S. Environmental Protection Agency (EPA) Toxics Release Inventory (TRI) Data. Faculty Forum, Issue No. 21, Spring 2015, The University of South Carolina Salkehatchie Campus. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Jafaridargiri, A and Rostami, M (2021). A Survey on Benford Law in Tehran Stock Exchange . Management Research in Iran 17(1), pp. 95-110. PER 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 (2009). Chains of distributions, hierarchical Bayesian models and Benford's Law. Journal of Algebra, Number Theory: Advances and Applications 1(1), pp. 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), pp. 147-169. View Complete Reference Online information Works that this work references Works that reference this work
Jošić , H and Žmuk, B (2020). The Application of the Law of Anomalous Numbers on Global Food Prices in Examining Psychological Pricing Strategies. Journal of International Food & Agribusiness Marketing, pp. 1-16. DOI:10.1080/08974438.2020.1796880 . View Complete Reference Online information Works that this work references Works that 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 (2008). Sociological Inequality and the Second Law. http://arxiv.org/abs/0805.3206. 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. posted on arXiv 8 March 2009 - arXiv:0901.3047v2. View Complete Reference Online information Works that this work references Works that reference this work
Kak, S (2018). Variations on the Newcomb-Benford Law. Preprint arXiv:1806.06695 [physics.soc-ph]; last accessed January 31, 2022. View Complete Reference Online information Works that this work references Works that reference this work
Kak, S (2022). The Iterated Newcomb-Benford Distribution for Structured Systems. International Journal of Applied and Computational Mathematics 8, p. 51. DOI:10.1007/s40819-022-01251-2. View Complete Reference Online information Works that this work references Works that reference this work
Karavardar, A (2014). Benford’s Law and an Analysis in Istanbul Stock Exchange (BIST). International Journal of Business and Management, 9(4), pp. 160-172. DOI:10.5539/ijbm.v9n4p160. View Complete Reference Online information Works that this work references Works that reference this work
Kellerman, L (2014). Evaluating the effectiveness of Benford’s law as an investigative tool for forensic accountants. Masters thesis (Magister Commercii) in Forensic Accountancy at the Potchefstroom Campus of the North-West University. View Complete Reference Online information 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. GER View Complete Reference Online information Works that this work references Works that 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 Works that 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
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. GER View Complete Reference No online information available Works that this work references No Bibliography works 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), pp. 269-297. ISSN/ISBN:0065-1036. DOI:10.4064/aa120-3-4. 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. 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 (2012). Statistician's New Role as a Detective - Testing Data for Fraud. Ciencias Económicas 30(2), pp. 179-200 . ISSN/ISBN:0252-9521. 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
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
Krakar, Z and Žgela, M (2009). Application of Benford's Law in information systems auditing. Journal of Information and Organizational Sciences, 33(1), pp. 39-51. View Complete Reference No online information available Works that this work references Works that reference this work
Kruger, PS and Yadavalli, VSS (2017). The Power of One: Benford's Law. South African Journal of Industrial Engineering Vol 28(2), pp. 1-13. DOI:10.7166/28-2-1753. View Complete Reference Online information Works that this work references Works that reference this work
Kumar, K and Bhattacharya, S (2007). Detecting the dubious digits: Benford’s law in forensic accounting. Significance 4(2), pp. 81-83. DOI:10.1111/j.1740-9713.2007.00234.x. View Complete Reference Online information Works that this work references Works that reference this work
Kuruppu, N (2019). The Application of Benford’s Law in Fraud Detection: A Systematic Methodology. International Business Research, Canadian Center of Science and Education 12(10), pp. 1-10. DOI:10.5539/ibr.v12n10p1. View Complete Reference Online information Works that this work references Works that reference this work
Kuruppu, N (2020). Uncovering Financial Shenanigans: Benford’s Law as a Computer Assisted Analytical Procedure. International Journal of Business and Management 15(7), pp. 37-47. DOI:10.5539/ijbm.v15n7p37. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Labouze, X and Labouze, R (2000). La Loi de Benford: la détection des fraudes comptables. Revue française de comptabilité 321. FRE View Complete Reference No online information available Works that this work references Works that reference this work
Lebert, S, Mohrmann, U and Stefani, U (2021). Rounding up performance measures in German firms: Earnings cosmetics or earnings management on a larger scale?. Journal of Business Finance & Accounting 48(3-4), pp. 564-586. DOI:10.1111/jbfa.12494. View Complete Reference Online information Works that this work references Works that reference this work
Lee, K-B, Han, S and Jeong, Y (2020). COVID-19, flattening the curve, and Benford’s law. Physica A: Statistical Mechanics and its Applications 559, 125090. DOI:10.1016/j.physa.2020.125090. View Complete Reference Online information Works that this work references Works that reference this work
Leemis, LM, Schmeiser, BW and Evans, DL (2000). Survival Distributions Satisfying Benford's Law. American Statistician 54(4), pp. 236-241. ISSN/ISBN:0003-1305. DOI:10.2307/2685773. View Complete Reference Online information Works that this work references Works that reference this work
Li, Q and Fu, Z (2016). Quantifying non-stationarity effects on organization of atmospheric turbulent eddy motion by Benford’s law. Commun Nonlinear Sci Numer Simulat 33, pp. 91–98. DOI:10.1016/j.cnsns.2015.09.006. View Complete Reference Online information Works that this work references Works that 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
Lin, F, Guan, L and Fang, W (2011). Heaping In Reported Earnings: Evidence from Monthly Financial Reports of Taiwanese Firms. Emerging Markets Finance & Trade / January–February 2011, Vol. 47, No. 2, pp. 62–73. ISSN/ISBN:1540-496X. DOI:10.2753/REE1540-496X470205. View Complete Reference Online information Works that this work references Works that reference this work
Lipovetsky, S (2008). Comparison among different patterns of priority vectors estimation methods. International Journal of Mathematical Education in Science 39(3), pp. 301-311. DOI:10.1080/00207390701639532. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Little, B, Rejesus, R, Schucking, M and Harris, R (2008). Benfords Law, data mining, and financial fraud: A case study in New York State Medicaid data. WIT Transactions on Information and Communication Technologies 40, pp. 195-204. DOI:10.2495/DATA080191. View Complete Reference Online information 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. ISSN/ISBN:9780307485526. View Complete Reference Online information Works that this work references Works that reference this work
Lowe, R (2000). Benford's Law and fraud detection. Chartered Accountants Journal of New Zealand 79(10), pp. 32-36. ISSN/ISBN:1172-9929. 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
Lusk, EJ and Halperin, M (2014). Detecting Newcomb-Benford digital frequency anomalies in the audit context: Suggested x^2 test possibilities. Accounting and Finance Research 3(2), pp. 191-205. DOI:10.5430/afr.v3n2p191. View Complete Reference Online information Works that this work references Works that reference this work
Lusk, EJ and Halperin, M (2014). Detecting Digital Frequency Anomalies as Benchmarked against the Newcomb-Benford Theoretical Frequencies: Calibrating the Chi2 Test: A Note. International Business Research 7(2). ISSN/ISBN:1913-9012. DOI:10.5539/ibr.v7n2p72 . View Complete Reference Online information Works that this work references Works that reference this work
Lusk, EJ and Halperin, M (2014). Test of Proportions Screening for the Newcomb-Benford Screen in the Audit Context: A Likelihood Triaging Protocol. Journal of Accounting and Finance Research 3(4), pp. 166-180. DOI:10.5430/afr.v3n4p166. View Complete Reference Online information Works that this work references Works that reference this work
Lusk, EJ and Halperin, M (2015). Testing the mixing property of the Newcomb-Benford Profile: Implications for the audit context. International Journal of Economics & Finance 7(6), pp. 42-50. DOI:10.5539/ijef.v7n6p42. View Complete Reference Online information Works that this work references Works that reference this work
Lusk, EJ and Halperin, M (2015). Account Screening Based Upon Digital Frequency Profiling in the Internal Audit Context: A Cartesian Distance Likelihood Triaging Protocol. Business Management Dynamics 5(3), pp.12-17. View Complete Reference Online information Works that this work references Works that reference this work
Malvar, S and Meneghini, JR (2022). Machine learning approaches for localized lockdown during COVID-19: a case study analysis. Preprint arXiv:2201.00715 [cs.LG]; last accessed January 9, 2022. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Mamidipaka, P and Desai, S (2022). Do Pulsar and Fast Radio Burst dispersion measures obey Benford's law?. Preprint arXiv:2207.09696 [astro-ph.HE]; last accessedAugust 8, 2022. DOI:10.48550/arXiv.2207.09696 . View Complete Reference Online information Works that this work references Works that reference this work
Mamidipaka, P and Desai, S (2023). Do pulsar and Fast Radio Burst dispersion measures obey Benford's law?. Astroparticle Physics 144, p. 102761 . DOI:10.1016/j.astropartphys.2022.102761. View Complete Reference Online information Works that this work references Works that reference this work
Manack, C and Miller, SJ (2015). Leading digit laws on linear Lie groups. Research in Number Theory 1:22. DOI:10.1007/s40993-015-0024-4. View Complete Reference Online information Works that this work references Works that reference this work
Manrique-Hernández, EF, Fernández-Niño, JA and Idrovo, AJ (2017). Global performance of epidemiologic surveillance of Zika virus: rapid assessment of an ongoing epidemic. Public Health 143, pp. 14-16. DOI:10.1016/j.puhe.2016.10.023 . View Complete Reference Online information Works that this work references 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. SPA View Complete Reference Online information Works that this work references No Bibliography works reference this work
Miller, SJ (2008). Benford’s Law and Fraud Detection, or: Why the IRS Should Care About Number Theory!. Presentation for Bronfman Science Lunch Williams College, October 21. View Complete Reference Online information Works that this work references Works that reference this work
Miller, SJ (2016). Can math detect fraud? CSI: Math: The natural behavior of numbers. Presentation at Science Cafe, Northampton, September 26; last accessed July 4, 2019. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Miller, SJ and Nigrini, MJ (2006). Order Statistics and Shifted Almost Benford Behavior. Posted on Math Arxiv, January 13, 2006. 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), pp. 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. ISSN/ISBN: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. ISSN/ISBN:978-0691120607. 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. In: An Invitation to Modern Number Theory, Princeton University Press. ISSN/ISBN:9780691120607. View Complete Reference Online information Works that this work references No Bibliography works 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
Milojević, M, Terzić, I and Marjanović, V (2014). Application of Benford's Law in Detecting Anomalies in Financial Statements - The Case of Large Companies in Serbia . Sinteza 2014 - Impact of the Internet on Business Activities in Serbia and Worldwide, Belgrade, Singidunum University, Serbia, pp. 564-570. DOI:10.15308/sinteza-2014-564-570. SRP View Complete Reference Online information Works that this work references Works that 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
Mohammadi, S, Nezhad, BM, Mohammadi, A and Zahmati, F (2015). Benford's Law and its Application in Auditing. International Journal of Industrial Organization 6(2), pp. 13-16. DOI:10.13106/ijidb.2015.vol6.no2.13.. 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), pp. 4-9. View Complete Reference No online information available 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), pp. 1597-1604. ISSN/ISBN:0129-1831. DOI:10.1142/S0129183106010054. View Complete Reference Online information Works that this work references Works that reference this work
Moret, MA, de Senna, V, Santana, MC and Zebende, GF (2009). Geometric Structural Aspects of Proteins and Newcomb-Benford Law. International Journal of Modern Physics C 20(12), pp. 1981-1988. DOI:10.1142/S0129183109014874. View Complete Reference Online information Works that this work references Works that reference this work
Morrison, KE (2010). The Multiplication Game. Mathematics Magazine 83, pp. 100-110. ISSN/ISBN:0025-570X. DOI:10.4169/002557010X482862. View Complete Reference Online information Works that this work references Works that reference this work
Nasser, L (2020). Digits. Netflix series - Connected: The Hidden Science of Everything, Episode 4. View Complete Reference Online information Works that this work references 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, pp. 67-73. DOI:10.1109/FUZZ.2003.1209339. 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. DOI:10.1023/B:REOM.0000015848.19449.12. View Complete Reference Online information Works that this work references Works that reference this work
Nigrini, MJ (2000). Continuous Auditing. Online e-print; last accessed September 28, 2015. View Complete Reference Online information Works that this work references Works that 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/ISBN:978-3867414-40. GER View Complete Reference Online information Works that this work references No Bibliography works reference this work
Öncü, MA, Yücel, R and Özevin, O (2018). Benford Analizi Ġle Muhasebe Denetimi: Kamu Hastaneleri Üzerine Bir Uygulama [Auditing with Benford Analysis: An Application on Public Hospitals]. Muhasebe ve Finansman Dergisi 80, pp.1-22. DOI:10.25095/mufad.465721. TUR View Complete Reference Online information Works that this work references Works that reference this work
Onur, Ö and Yazdifar, H (2020). Assessing the Fraud Risk Factors in the Finance Statements with Benford's Law. Journal of accounting and taxation studies (in press). View Complete Reference Online information Works that this work references No Bibliography works reference this work
Özevin, O, Yücel, R and Öncü, MA (2020). Fraud Detecting with Benford’s Law: An Alternative Approach with {BDS} and Critic Values. Muhasebe Bilim Dünyası Dergisi 22(1), pp. 107-126. DOI:10.31460/mbdd.609957. View Complete Reference Online information Works that this work references Works that reference this work
Park, JA, Kim, M and Yoon, S (2016). Evaluation of Large-scale Data to Detect Irregularity in Payment for Medical Services. Methods of Information in Medicine 55(03), pp. 284-291. DOI:10.3414/ME15-01-0076. View Complete Reference Online information Works that this work references Works that reference this work
Park, JH, Choi, CH and Cho, EH (2016). Preliminary Study to Detect Match-Fixing: Benford’s Law in Badminton Rally Data. Journal of Physical Education and Sports Management, 3(1), pp. 64-77. ISSN/ISBN:2373-2156. DOI:10.15640/jpesm.v3n1a5. View Complete Reference Online information Works that this work references Works that reference this work
Parnes, D (2022). Banks’ Off-Balance Sheet Manipulations. Quarterly Review of Economics and Finance. DOI:10.1016/j.qref.2022.07.011. View Complete Reference Online information Works that this work references Works that reference this work
Peterson, I (1998). First Digits. Science News Online, Ivars Peterson's MathTrek, 27 June. View Complete Reference No online information available 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 Works that reference this work
Pickover, C (2012). The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics (Sterling Milestones). Sterling Publishing: New York. See: Benford's Law (1881). ISSN/ISBN:978-1-4027-5796-9. 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/ISBN:0378-4371. DOI:10.1016/S0378-4371(00)00633-6. 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. Last retrieved 20 April 2018. 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
Plaček, M (2014). Applying Benford’s law by testing the government macroeconomics data. Acta academica karviniensia 14(3), pp. 148-160. DOI:10.25142/aak.2014.056. View Complete Reference Online information Works that this work references Works that reference this work
Pomykacz, M, Olmsted, C and Tantinan, K (2017). Benford’s Law in Appraisal. The Appraisal Journal, Fall, pp. 274-284. View Complete Reference Online information Works that this work references Works that reference this work
Popescu, II (2002). On the Lavelette’s nonlinear Zipf’s law. Online pre-print; link is broken. Copy of article is available on request. View Complete Reference No online information available Works that this work references No Bibliography works 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. Phys. Rev. E 90(2), p. 022144 (previously available from http://arxiv.org/abs/1405.2744). DOI:10.1103/PhysRevE.90.022144. View Complete Reference Online information Works that this work references Works that reference this work
Rasgen, M (2016). Hile Denetiminde Benford Yasası'nın Kullanımına İlişkin Bir Uygulama [An Application for the Use of Benford's Law in Fraud Control] . Yüksek Lisans Tezi. Dokuz Eylül Üniversitesi Sosyal Bilimler Enstitüsü ĠĢletme Anabilim Dalı, Izmir. TUR View Complete Reference Online information Works that this work references Works that reference this work
Ribeiro, JC, Monteiro, GB, dos Santos, J and Galvao, KdS (2005). Aplicação da Lei de Newcomb-Benford na Auditoria. Caso notas de empenho dos Municípios do Estado da Paraíba. 2o Congresso USP Iniciação cientifica em contabilidade. POR 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 May 30, 2018 . View Complete Reference Online information Works that this work references Works that reference this work
Rubin, AE (2021). Benford’s law: Applications to ordinary-chondrite mass distributions. Meteoritics & Planetary Science, pp. 1-14. DOI:10.1111/maps.13626. View Complete Reference Online information Works that this work references No Bibliography works 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
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. ISSN/ISBN:0717-196X. SPA View Complete Reference No online information available Works that this work references No Bibliography works reference this work
Sandouly, P (1998). Fraudes la preuve par 1. Jeune Afrique 1978, December 8. FRE 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 Works that 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
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 Works that reference this work
Schräpler, 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. DOI:10.2139/ssrn.1562574. View Complete Reference Online information Works that this work references Works that reference this work
Schräpler, J-P (2011). Benford's Law as an Instrument for Fraud Detection in Surveys Using the Data of the Socio-Economic Panel (SOEP). Jahrbücher für Nationalökonomie und Statistik 231(5-6). DOI:10.1515/jbnst-2011-5-609. View Complete Reference Online information Works that this work references Works that reference this work
Schräpler, J-P 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
Seaman, RS (2002). The relevance of Benford's Law to background field errors in data assimilation. Australian Meteorological Magazine 51(1), 25-33. ISSN/ISBN:0004-9743. View Complete Reference Online information Works that this work references Works that reference this work
Seenivasan, P, Easwaran, S, Sridhar, S and Sinha, S (2016). Using Skewness and the First-Digit Phenomenon to Identify Dynamical Transitions in Cardiac Models. Frontiers in Physiology 6, p. 390. DOI:10.3389/fphys.2015.00390. 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
Simkin, MG (2010). Using Spreadsheets and Benford’s Law to Test Accounting Data. ISACA Journal, Volume 1. View Complete Reference Online information 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. GER View Complete Reference Online information Works that this work references Works that reference this work
Singh, SS (2016). Using Benford’s Law in Audit. E-print from Regional Training Institute Kolkata, Indian Audit & Accounts Department . View Complete Reference Online information Works that this work references No Bibliography works 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/ISBN:1063-651X. DOI:10.1103/PhysRevE.64.026222. View Complete Reference Online information Works that this work references Works that reference this work
Spichal, L (2021). Benfordův zákon. Unpublished manuscript. CZE View Complete Reference Online information Works that this work references No Bibliography works reference this work
Stoessiger, R (2013). Benford’s Law and why the integers are not what we think they are. Australian Senior Mathematics Journal, Vol. 27, No. 1, pp. 29-46. ISSN/ISBN:0819-4564. View Complete Reference Online information Works that this work references Works that reference this work
Strzałka, D (2010). On some properties of Benford's law. Journal of the Korean Math. Soc. 47(5), pp. 1055-1075. View Complete Reference Online information Works that this work references Works that 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
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
Szymanowski, J (2010). Fenomen rozkładu Benforda [The phenomenon of Benford distribution]. Online - last accessed May 2, 2015. POL View Complete Reference Online information Works that this work references No Bibliography works reference this work
Tijms, H (2019). Surprises in probability: Seventeen Short Stories. CRC Press: Boca Raton, (Chapter 5), pp. 31-36. ISSN/ISBN:0367000822. View Complete Reference Online information Works that this work references Works that reference this work
Toledo, PA, Riquelme, SR and Campos, JA (2015). Earthquake source parameters that display the first digit phenomenon. Nonlin. Processes Geophys., 22(5), pp. 625–632. DOI:10.5194/npg-22-625-2015. 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
Türkyener, CM (2007). Benford Yasası ve Mali Denetimde Kullanımı. Sayıştay Dergisi Sayi: 64, pp. 111-122. TUR View Complete Reference Online information Works that this work references Works that reference this work
Us, D (2021). Benford's Law: An Empirical Analysis of Reported Covid-19 Cases and Institutional Structures Around the Globe . Undergraduate Thesis, Università commerciale Luigi Bocconi, Milan. DOI:10.13140/RG.2.2.28839.88488. View Complete Reference Online information Works that this work references Works that reference this work
Vovor-Dassu, KC (2021). Tests d'adéquation à la loi de Newcomb-Benford comme outils de détection de fraudes. PhD Thesis L’Universite de Montpellier. DOI:10.13140/RG.2.2.12559.25764. FRE View Complete Reference Online information Works that this work references No Bibliography works 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
Wolowik, P (2005). Prawo Benforda – testowanie i wery kacja poprawności danych pomiarowych [Benford's Law - testing and verification of the correctness of measurement data] . Pr- zegląd Telekomunikacyjny – Wiadomości Telekomunikacyjne” 11, pp. 414-418. POL View Complete Reference Online information Works that this work references Works that reference this work
Wong, SCY (2010). Testing Benford’s Law with the first two significant digits. Master's Thesis, University of Victoria, Canada. 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) 28(1) pp. 95-100. DOI:10.1007/s11767-011-0474-3. View Complete Reference Online information Works that this work references Works that reference this work
Xu, X and Zeng, Z (2020). Did Alibaba Fake the Tmall “Double Eleven” Data? Evidence from Benford’s Law. In: Xu J., Duca G., Ahmed S., García Márquez F., Hajiyev A. (eds) Proceedings of the Fourteenth International Conference on Management Science and Engineering Management. ICMSEM 2020. Advances in Intelligent Systems and Computing, vol 1190. Springer, Cham. DOI:10.1007/978-3-030-49829-0_39. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Yang, L and Fu, Z (2017). Out-phased decadal precipitation regime shift in China and the United States. Theor Appl Climatol (2017) 130, pp. 535–544. DOI:10.1007/s00704-016-1907-6. View Complete Reference Online information Works that this work references Works that reference this work
Yücel, R and Özevin, O (2016). The Application Of Benford Analysis On Balance Sheet Items Of Companies Traded In Bist. Papers On Social Science 2016, pp. 83-97. TUR View Complete Reference Online information Works that this work references No Bibliography works reference this work
Žgela, M (2011). Application of Benford’s law in analysis of DAX percentage changes. Cybernetics and Information Technologies 11(4), pp. 53-70. 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 Works that reference this work
Žgela, M and Krakar, Z (2009). Application of Benford's Law in Payment Systems Auditing. Journal of Information and Organizational Sciences 33(1), pp. 39-51. View Complete Reference Online information Works that this work references Works that 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. CHI View Complete Reference Online information Works that this work references Works that reference this work
Zheng, S (2013). Necessary and Sufficient Conditions for Benford Sequences. Pi Mu Epsilon Journal 13(9), pp. 553 – 561. View Complete Reference Online information Works that this work references Works that reference this work