This work is cited by the following items of the Benford Online Bibliography:
Baumeister, J and Macedo, TG (2011). Von den Zufallszahlen und ihrem Gebrauch. Stand: 21, November 2011. GER | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
Berger, A (2011). Some dynamical properties of Benford sequences. Journal of Difference Equations and Applications 17(2), pp. 137-159. DOI:10.1080/10236198.2010.549012. | ![]() |
![]() |
![]() |
![]() |
Berger, A and Hill, TP (2006). A characterisation of Newton maps. ANZIAM J. 48, pp. 211-223. | ![]() |
![]() |
![]() |
![]() |
Berger, A and Hill, TP (2011). A basic theory of Benford's Law . Probability Surveys 8, pp. 1-126. DOI:10.1214/11-PS175. | ![]() |
![]() |
![]() |
![]() |
Berger, A and Hill, TP (2015). An Introduction to Benford's Law. Princeton University Press: Princeton, NJ. ISSN/ISBN:9780691163062. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
Berger, A and Siegmund, S (2007). On the distribution of mantissae in nonautonomous difference equations. Journal of Difference Equations and Applications 13(8-9), pp. 829-845. ISSN/ISBN:1023-6198. DOI:10.1080/10236190701388039. | ![]() |
![]() |
![]() |
![]() |
Cong, M, Li, C and Ma, B-Q (2019). First digit law from Laplace transform. Phys. Lett. A, 383(16), pp. 1836-1844. DOI:10.1016/j.physleta.2019.03.017 . | ![]() |
![]() |
![]() |
![]() |
Durmić, I (2022). Benford Behavior of a Higher Dimensional Fragmentation Processes. Undergraduate thesis, Williams College, Williamstown, Massachusetts. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
Fu, Q, Villas-Boas, SB and Judge, G (2019). Does china income FSDs follow Benford? A comparison between Chinese income first significant digit distribution with Benford distribution. China Economic Journal 12(1), pp. 68-76. DOI:10.1080/17538963.2018.1477418. | ![]() |
![]() |
![]() |
![]() |
Gámez, RAM and Rivera, CEA (2009). Ley de Benford y sus aplicaciones. Undergraduate Thesis, . SPA | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
Jäntschi, L, Bolboaca, S, Stoenoiu, C, Iancu, M, Marta, MM and Pică, EM, Ştefu, M, Sestraş, AF, Duda, MM, Sestraş, RE, Ţigan, S, Abrudan, I, and Bălan, MC (2009). Distribution Fitting 4. Benford test on a sample of observed genotypes number from running of a genetic algorithm . Bulletin UASVM Agriculture 66(1), pp. 82-88. | ![]() |
![]() |
![]() |
![]() |
Jasak, Z (2010). Benfordov zakon i reinforcement učenje (Benford's Law and reinforcment learning) . MSc Thesis, University of Tuzla, Bosnia. SRP | ![]() |
![]() |
![]() |
![]() |
Jing, J (2013). Benford’s Law and Stick Decomposition. Undergraduate thesis, Williams College, Williamstown, Massachusetts . | ![]() |
![]() |
![]() |
![]() |
Jolissaint, P (2009). Loi de Benford, relations de récurrence et suites équidistribuées II. Elem. Math. 64 (1), pp. 21-36. FRE | ![]() |
![]() |
![]() |
![]() |
Judge, G and Schechter, L (2009). Detecting problems in survey data using Benford’s law. J. Human Resources 44, pp. 1-24. DOI:10.3368/jhr.44.1.1. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
Lai, H-Y and Wei, J-J (2024). First Digit Distributions of Gamma-Ray Bursts. Preprint arXiv:2401.10609 [astro-ph.HE];last accessed January 25, 2024. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
Miller, SJ (ed.) (2015). Benford's Law: Theory and Applications. Princeton University Press: Princeton and Oxford. ISSN/ISBN:978-0-691-14761-1. | ![]() |
![]() |
![]() |
![]() |
Morrow, J (2010). Benford's Law, Families of Distributions and a Test Basis. E-print formerly published on www.johnmorrow.info; last accessed Mar 10, 2021. . | ![]() |
![]() |
![]() |
![]() |
Morrow, J (2014). Benford’s Law, Families of Distributions and a Test Basis. Center for Economic Performance Discussion Paper No 1291. | ![]() |
![]() |
![]() |
![]() |
Nebel, J-C and Pezzulli, S (2012). Distribution of Human Genes Observes Zipf's Law. Kingston University Research & Innovation Reports (KURIR), Vol. 8, 2012. ISSN/ISBN:1749-5652. | ![]() |
![]() |
![]() |
![]() |
Nigrini, MJ and Miller, SJ (2009). Data Diagnostics Using Second-Order Tests of Benford's Law. Auditing: A Journal of Practice & Theory 28(2), pp. 305-324. DOI:10.2308/aud.2009.28.2.305 . | ![]() |
![]() |
![]() |
![]() |
Shao, L and Ma, BQ (2009). First Digit Distribution of Hadron full width. Modern Physics Letters A, 24(40), 3275-3282. ISSN/ISBN:0217-7323. DOI:10.1142/S0217732309031223. | ![]() |
![]() |
![]() |
![]() |
Shao, L and Ma, BQ (2010). Empirical mantissa distributions of pulsars. Astroparticle Physics 33, 255-262. DOI:10.1016/j.astropartphys.2010.02.003. | ![]() |
![]() |
![]() |
![]() |
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. | ![]() |
![]() |
![]() |
![]() |
Torres, J, Fernandez, S, Gamero, A and Sola, A (2007). How do numbers begin? (The first digit law). European Journal of Physics 28(3), L17-L25. ISSN/ISBN:0143-0807. DOI:10.1088/0143-0807/28/3/N04. | ![]() |
![]() |
![]() |
![]() |
Tsagbey, S, de Carvalho, M and Page, GL (2017). All Data are Wrong, but Some are Useful? Advocating the Need for Data Auditing . The American Statistician, 71, pp. 231--235. DOI:10.1080/00031305.2017.1311282. | ![]() |
![]() |
![]() |
![]() |
Varma, TNP and Khan, DA (2012). Fraud Detection in Supply Chain using Benford Distribution. International Journal of Research in Management 2(5), pp. 90-96. | ![]() |
![]() |
![]() |
![]() |
Villas-Boas, SB, Fu, Q and Judge, G (2017). Benford’s law and the FSD distribution of economic behavioral micro data . Physica A: Statistical Mechanics and its Applications Volume 486, pp. 711-719. DOI:10.1016/j.physa.2017.05.093. | ![]() |
![]() |
![]() |
![]() |