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Feller, W (1971). An Introduction to Probability Theory and Its Applications. 2nd ed., J. Wiley (see p 63, vol 2).

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Aldous, D and Phan, T (2009). When Can One Test an Explanation? Compare and Contrast Benford's Law and the Fuzzy CLT. Class project report, Statistics Department, UC Berkeley. View Complete Reference Online information Works that this work references Works that reference this work
Aldous, D and Phan, T (2010). When Can One Test an Explanation? Compare and Contrast Benford's Law and the Fuzzy CLT. The American Statistician 64(3), pp. 221–227. ISSN/ISBN:0003-1305. DOI:10.1198/tast.2010.09098. View Complete Reference Online information Works that this work references Works that reference this work
Balado, F and Silvestre, GC (2021). Benford's Law: Hammering a Square Peg Into a Round Hole?. 29th European Conference on Signal Processing (EUSIPCO), Dublin, Ireland, August, 2021, pp. 796-800. ISSN/ISBN: 978-9-0827-9707-7. View Complete Reference Online information Works that this work references Works that reference this work
Balanzario, EP and Sánchez-Ortiz, J (2010). Sufficient conditions for Benford’s law. Statistics & Probability Letters 80(23-24), pp. 1713-1719. DOI:10.1016/j.spl.2010.07.014. View Complete Reference Online information Works that this work references Works that reference this work
Barabesi, L and Pratelli, L (2020). On the Generalized Benford law. Statistics & Probability Letters 160, 108702 . DOI:10.1016/j.spl.2020.108702. View Complete Reference Online information Works that this work references Works that reference this work
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Benford, FA (2020). Fourier Analysis and Benford Random Variables. Preprint arXiv:arXiv:2006.07136 [stat.OT]; last accessed June 20, 2020. View Complete Reference Online information Works that this work references Works that reference this work
Benford, FA (2021). Base Dependence of Benford Random Variables. Stats 4(3), pp. 578-594. DOI:10.3390/stats4030034. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Berger, A (2010). Large spread does not imply Benford's Law. Technical Report, Dept. of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, Canada. View Complete Reference Online information Works that this work references 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), pp. 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), pp. 665-684. DOI:10.1137/100789890. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Twelves, I (2018). On the significands of uniform random variables. Journal of Applied Probability 55(2), pp. 353-367. DOI:10.1017/jpr.2018.23. View Complete Reference Online information Works that this work references Works that reference this work
Berger, A and Xu, C (2018). Best Finite Approximations of Benford’s Law. Journal of Theoretical Probability. DOI:10.1007/s10959-018-0827-z. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Block, HW and Savits, TH (2010). A General Example for Benford Data. The American Statistician 64(4), pp. 335-339. View Complete Reference Online information Works that this work references Works that reference this work
Boyle, J (1994). An Application of Fourier Series to the Most Significant Digit Problem. American Mathematical Monthly 101(9), pp. 879-886. ISSN/ISBN:0002-9890. DOI:10.2307/2975136. View Complete Reference Online information Works that this work references Works that reference this work
Cai, Z, Faust, M, Hildebrand, AJ, Li, J and Zhang, Y (2019). The Surprising Accuracy of Benford’s Law in Mathematics. Preprint arXiv:1907.08894 [math.PR]; last accessed July 31, 2019. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Cai, Z, Faust, M, Hildebrand, AJ, Li, J and Zhang, Y (2020). The Surprising Accuracy of Benford’s Law in Mathematics. The American Mathematical Monthly 127(3), pp. 217-237. DOI:10.1080/00029890.2020.1690387. View Complete Reference Online information Works that this work references Works that reference this work
Carslaw, CAPN (1988). Anomalies in Income Numbers: Evidence of Goal Oriented Behavior. The Accounting Review 63(2), pp. 321-327. View Complete Reference Online information Works that this work references Works that reference this work
Crato, N (2010). Mr. Benford. In: Figuring It Out: Entertaining Encounters with Everyday Math, Springer-Verlag: Berlin, pp. 173-177. ISSN/ISBN:978-3-642-04833-3. DOI:10.1007/978-3-642-04833-3_41. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Diaconis, P (1977). The Distribution of Leading Digits and Uniform Distribution Mod 1. Annals of Probability 5(1), pp. 72-81. ISSN/ISBN:0091-1798. View Complete Reference Online information Works that this work references Works that reference this work
Diaconis, P (1977). Examples of the theory of infinite iteration of summability methods. Canadian Journal of Mathematics 29(3), pp. 489-497. DOI:10.4153/CJM-1977-053-1. View Complete Reference Online information Works that this work references Works that reference this work
Diaconis, P (2002). G.H. Hardy and Probability ???. Bulletin of the London Mathematical Society 34(4), pp. 385-402. DOI:10.1112/S002460930200111X. View Complete Reference Online information Works that this work references Works that reference this work
Diaconis, P and Freedman, D (1979). On Rounding Percentages. Journal of the American Statistical Association 74(366), pp. 359-364. ISSN/ISBN:0162-1459. View Complete Reference Online information Works that this work references Works that reference this work
Dickinson, JR (2002). A universal mathematical law criterion for algorithmic validity. Developments in Business Simulation and Experiential Learning 29, pp. 26-33. View Complete Reference Online information Works that this work references Works that reference this work
Eliazar, II (2017). Harmonic statistics. Annals of Physics, Volume 380, pp. 168-187. DOI:10.1016/j.aop.2017.03.016. View Complete Reference Online information Works that this work references Works that reference this work
Fairthorne, RA (1969). Progress in Documentation - Empirical Hyperbolic Distributions (Bradford-Zipf-Mandelbrot) for Bibliometric Description and Prediction. Journal of Documentation 25(4), pp. 319-343; reprinted 2005 in Journal of Documentation 61(2), pp. 171-193. ISSN/ISBN:0022-0418. DOI:10.1108/00220410510585179. View Complete Reference Online information Works that this work references Works that reference this work
Francischetti, CE (2007). Aplicação da lei dos números anômalos ou Lei de Newcomb- Benford para o controle das demonstrações financeiras das organizações [Application of the law of anomalous numbers or the Newcomb-Benford Act to control the financial statements of organizations]. Masters thesis, Universidade Metodista de Piracicaba, Brasil. POR View Complete Reference Online information Works that this work references Works that reference this work
Freeman, RB (2018). Benford's Law. Lecture 17 notes for Economics 1818 course, Harvard University. View Complete Reference Online information Works that this work references Works that reference this work
Friar, JL, Goldman, T and Pérez-Mercader, J (2016). Ubiquity of Benford’s law and emergence of the reciprocal distribution. Physics Letters A 380(22), pp. 1895–1899. ISSN/ISBN:0375-9601. DOI:10.1016/j.physleta.2016.03.045. View Complete Reference Online information Works that this work references Works that 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
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Giuliano-Antonini, R and Grekos, G (2005). Regular sets and conditional density: an extension of Benford's law. Colloquium Mathematicum, 103(2), pp. 173–192. DOI:10.4064/cm103-2-3. View Complete Reference Online information Works that this work references Works that reference this work
Good, IJ (1986). Some statistical applications of Poisson’s work. Statistical Science 1(2), pp. 157-170. View Complete Reference Online information Works that this work references Works that reference this work
Hill, TP (1995). Base-Invariance Implies Benford's Law. Proceedings of the American Mathematical Society 123(3), pp. 887-895. ISSN/ISBN:0002-9939. DOI:10.2307/2160815. View Complete Reference Online information Works that this work references Works that reference this work
Hill, TP (2011). Benford's Law Blunders. Letter to the Editor, The American Statistician, May 2011, Vol. 65, No. 2, p. 141. View Complete Reference Online information Works that this work references Works that reference this work
Huxley, SJ (1999). Why Benford's Law works and How to do digit analysis on spreadsheets. Presented at the 1999 International Conference of the Decision Sciences Institute. View Complete Reference No online information available Works that this work references Works that reference this work
Kontorovich, AV and Miller, SJ (2005). Benford's Law, Values of L-functions and the 3x+ 1 Problem. Acta Arithmetica 120(3), 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 and Lawton, WM (2023). A Mathematical Analysis of Benford's Law and its Generalization. Preprint arXiv:2308.07773 [stat.ME]; last accessed August 24, 2023. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Kozlov, VV (2005). Weighted averages, uniform distribution, and strict ergodicity. Russian Mathematical Surveys 60(6), pp. 1121-1146. ISSN/ISBN:0036-0279. DOI:10.1070/RM2005v060n06ABEH004284. View Complete Reference Online information Works that this work references Works that reference this work
Kuipers, L and Niederreiter, H (1974). Uniform Distribution of Sequences. J. Wiley; newer edition - 2006 from Dover. ISSN/ISBN:0486450198. View Complete Reference Online information Works that this work references Works that reference this work
Kulikova, AA and Prokhorov, YV (2005). Completely asymmetric stable laws and Benford’s law. Theory of Probability and its Application 49(1), pp. 163-169. DOI:10.1137/S0040585X97980944. View Complete Reference Online information Works that this work references Works that reference this work
Kulikova, AA, Prokhorov, YV and Khokhlov, VI (2006). H.F.D. (H-function Distribution) and Benford's Law. I. Theory of Probability & Its Applications 50(2), pp. 311-315 . DOI:10.1137/S0040585X97981706. View Complete Reference Online information Works that this work references No Bibliography works reference this work
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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
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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
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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
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Mörters, P (2001). Benford’s Gesetz über die Verteilung der Ziffern. Habilitationsvorlesung. Kaiserslauten und Bath. GER View Complete Reference Online information Works that this work references Works that reference this work
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