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Miller, SJ (ed.) (2015). Benford's Law: Theory and Applications. Princeton University Press: Princeton and Oxford.

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Barabesi, L, Cerasa, A, Cerioli, A and Perrotta, D (2018). Goodness-of-fit testing for the Newcomb-Benford law with application to the detection of customs fraud. Journal of Business & Economic Statistics 36(2), pp. 346-358. DOI:10.1080/07350015.2016.1172014. 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 No Bibliography works 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
Benjamin, AT (2019). The Long and the Short of Benford’s Law. Math Horizons 26(4), pp. 8-9. DOI:10.1080/10724117.2019.1568086. View Complete Reference Online information Works that this work references No Bibliography works 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 No Bibliography works 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
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 No Bibliography works reference this work
Cai, Z, Faust, M, Hildebrand, AJ, Li, J and Zhang, Y (2017). Leading Digits of Mersenne Numbers. Preprint in arXiv:1712.04425 [math.NT]; last accessed October 23, 2018. 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). Leading digits of Mersenne numbers. Experimental Mathematics, to appear. DOI:10.1080/10586458.2018.1551162. View Complete Reference Online information Works that this work references Works that reference this work
Cai, Z, Hildebrand, AJ and Li, J (2018). A local Benford Law for a class of arithmetic sequences. Preprint arXiv:1808.01496 [math.NT]; last accessed October 22, 2018. View Complete Reference Online information Works that this work references Works that reference this work
Campos, L, Salvo, AE and Flores-Moya, A (2016). Natural taxonomic categories of angiosperms obey Benford's law, but artificial ones do not. Systematics and Biodiversity 14(5), pp. 431-440. ISSN/ISBN:1477-2000 (Print)/ 1. DOI:10.1080/14772000.2016.1181683. View Complete Reference Online information Works that this work references Works that reference this work
Cerioli, A, Barabesi, L, Cerasa, A, Menegatti, M and Perrotta, D (2019). Newcomb-Benford law and the detection of frauds in international trade. Proceedings of the National Academy of Sciences 116(1), pp. 106-115. DOI:10.1073/pnas.1806617115. View Complete Reference Online information Works that this work references Works that reference this work
Chang, JC (2017). A Study of Benford's Law, With Applications to the Analysis of Corporate Financial Statements. Masters Thesis, The Graduate School Eberly College of Science, The Pennsylvania State University. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Chen, E, Park, PS and Swaminathan, AA (2016). On logarithmically Benford Sequences. Proc. Amer. Math. Soc. 144, pp. 4599-4608. DOI:10.1090/proc/13112 . View Complete Reference Online information Works that this work references No Bibliography works reference this work
Chenavier, N and Schneider, D (2018). On the discrepancy of powers of random variables. Statistics & Probability Letters 134, pp. 5-14. DOI:10.1016/j.spl.2017.10.006. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Corazza, M, Ellero, A and Zorzi, A (2018). The importance of being “one” (or Benford’s law). Lettera Matematica 6(1), pp. 33–39. DOI:10.1007/s40329-018-0218-4. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Dang, CT, Burger, R and Owens, T (2019). Better Performing NGOs Do Report More Accurately: Evidence from Investigating Ugandan NGO Financial Accounts. Economic Development and Cultural Change, forthcoming. DOI:10.1086/703099. View Complete Reference Online information Works that this work references No Bibliography works 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. 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). 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
Durst, RF, Huynh, C, Lott, A, Miller, SJ, Palsson, EA, Touw, W and Vreind, G (2016). The Inverse Gamma Distribution and Benford's Law. Preprint in arXiv:1609.04106 [math.PR]; last accessed October 23, 2018. View Complete Reference Online information Works that this work references Works that reference this work
Durst, RF and Miller, SJ (2017). Benford's Law Beyond Independence: Tracking Benford Behavior in Copula Models. Preprint in arXiv:1801.00212 [math.PR]; last accessed October 23, 2018. View Complete Reference Online information Works that this work references No Bibliography works 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
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. View Complete Reference Online information Works that this work references Works that reference this work
Goodman, WM (2016). The promises and pitfalls of Benford's law. Significance 13(3) pp. 38-41. DOI:10.1111/j.1740-9713.2016.00919.x. View Complete Reference Online information Works that this work references Works that reference this work
Gramm, R, Yost, J, Su, Q and Grobe, R (2017). Applications of the first digit law to measure correlations. Phys. Rev. E 95, 042136. DOI:10.1103/PhysRevE.95.042136. View Complete Reference Online information Works that this work references Works that reference this work
Hassler, U and Hosseinkouchack, M (2019). Testing the Newcomb-Benford Law: experimental evidence. Applied Economics Letters, pp. 1-8. DOI: 10.1080/13504851.2019.1597248. View Complete Reference Online information Works that this work references No Bibliography works reference this work
He, X, Hildebrand, AJ, Li, Y and Zhang, Y (2018). Complexity of Leading Digit Sequences. Preprint in arXiv:1804.00221 [math.NT]; last accessed October 23, 2018. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Hürlimann, W (2015). Prime powers and generalized Benford law. Pioneer Journal of Algebra, Number Theory and its Applications 12/2015; 10(1-2):51-70. View Complete Reference Online information Works that this work references Works that reference this work
Hürlimann, W (2015). A first digit theorem for powerful integer powers. SpringerPlus (2015) 4: 576. DOI:10.1186/s40064-015-1370-3. View Complete Reference Online information Works that this work references Works that reference this work
Hürlimann, W (2016). First digit counting compatibility for Niven integer powers. Journal of Progressive Research in Mathematics 7(4). ISSN/ISBN:2395-0218. View Complete Reference Online information Works that this work references Works that reference this work
Hürlimann, W (2016). First digit counting compatibility II: twin prime powers. Journal of Progressive Research in Mathematics(JPRM) 9(1), pp. 1341-1349. ISSN/ISBN:2395-0218. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Iafrate, JR, Miller, SJ and Strauch, FW (2015). Equipartitions and a distribution for numbers: A statistical model for Benford's law. Phys. Rev. E 91, 062138. DOI:10.1103/PhysRevE.91.062138. View Complete Reference Online information Works that this work references Works that reference this work
Joksimović, D, Knežević, G, Pavlović, V, Ljubić, M and Surovy, V (2017). Some Aspects of the Application of Benford’s Law in the Analysis of the Data Set Anomalies. In: Knowledge Discovery in Cyberspace: Statistical Analysis and Predictive Modeling. New York: Nova Science Publishers, pp. 85–120. ISSN/ISBN:978-1-53610-566-7. View Complete Reference Online information Works that this work references Works that reference this work
Lacasa, L (2019). Newcomb–Benford law helps customs officers to detect fraud in international trade. Proceedings of the National Academy of Sciences 116(1), pp. 11-13. DOI:10.1073/pnas.1819470116. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lee, J and de Carvalho, M (2019). Technological improvements or climate change? Bayesian modeling of time-varying conformance to Benford’s Law. PLoS ONE 14(4): e0213300. DOI:10.1371/journal.pone.0213300. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Lesperance, M, Reed, WJ, Stephens, MA, Tsao, C and Wilton, B (2016). Assessing Conformance with Benford’s Law: Goodness-Of-Fit Tests and Simultaneous Confidence Intervals. PLoS One 11(3): e0151235; published online 2016 Mar 28. DOI:10.1371/journal.pone.0151235. View Complete Reference Online information Works that this work references No Bibliography works 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
Miller, SJ (2015). How a simple observation from the 1800s about patterns in big data sets can fight fraud. Posted on TheConversation website (Science + Technology), December 10; last accessed April 11, 2019. View Complete Reference Online information Works that this work references No Bibliography works 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
Mir, TA and Ausloos, M (2018). Benford's law: a 'sleeping beauty' sleeping in the dirty pages of logarithmic tables. Journal of the Association for Information Science and Technology 69(3) pp. 349–358. DOI:10.1002/asi.23845. View Complete Reference Online information Works that this work references Works that reference this work
Nigrini, MJ (2017). Audit Sampling Using Benford's Law: A Review of the Literature With Some New Perspectives. Journal of Emerging Technologies in Accounting Vol. 14, No. 2, pp. 29–46. DOI:10.2308/jeta-51783. View Complete Reference Online information Works that this work references Works that reference this work
Ozawa, K (2019). Continuous Distributions on (0, ∞) Giving Benford’s Law Exactly. Preprint arXiv:1905.02031 [math.PR]; last accessed June 6, 2019. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Pinilla, J, López-Valcárcel, BG, González-Martel, C and Peiro, S (2018). Pinocchio testing in the forensic analysis of waiting lists: using public waiting list data from Finland and Spain for testing Newcomb-Benford’s Law. BMJ open,8(5), pp. 1-6. ISSN/ISBN:2044-6055. DOI:10.1136/bmjopen-2018-022079. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Shukla, A, Pandey, AK and Pathak, A (2017). Benford’s distribution in extrasolar world: Do the exoplanets follow Benford’s distribution?. Journal of Astrophysics and Astronomy JOAA-D-16-00138, 38(7). DOI:10.1007/s12036-017-9427-z. View Complete Reference Online information Works that this work references Works that reference this work
Tseng, H-C, Huang, W-N and Huang, D-W (2017). Modified Benford’s law for two-exponent distributions. Scientometrics 110(3), pp. 1403–1413. DOI:DOI 10.1007/s11192-016-2217-6. View Complete Reference Online information Works that this work references No Bibliography works reference this work
Villa-Boas, S, Fu, Q and Judge, G (2015). Is Benford’s Law a Universal Behavioral Theory?. Econometrics 3(4), pp. 698–708. DOI:10.3390/econometrics3040698. View Complete Reference Online information Works that this work references Works that reference this work
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. View Complete Reference Online information Works that this work references Works that reference this work
Yan, X, Yang, S-G, Kim, BJ and Minnhagen, P (2017). Benford's Law and First Letter of Word. Physica A: Statistical Mechanics and its Applications 512, pp. 305-315. DOI:10.1016/j.physa.2018.08.133. View Complete Reference Online information Works that this work references No Bibliography works reference this work