This work cites the following items of the Benford Online Bibliography:
Amiram, D, Bozanic, Z and Rouen, E (2015). Financial statement errors: evidence from the distributional properties of financial statement numbers. Review of Accounting Studies 20(4), pp. 1540–1593. DOI:10.1007/s11142-015-9333-z. | ![]() |
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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. | ![]() |
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Benford, F (1938). The law of anomalous numbers. Proceedings of the American Philosophical Society, Vol. 78, No. 4 (Mar. 31, 1938), pp. 551-572. | ![]() |
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Berger, A and Hill, TP (2011). A basic theory of Benford's Law . Probability Surveys 8, pp. 1-126. DOI:10.1214/11-PS175. | ![]() |
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Bhattacharya, S, Xu, D and Kumar, K (2010). An ANN-based auditor decision support system using Benford's Law. Decision support systems, 50 (3), pp. 576-584. | ![]() |
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Bose, I, Piramuthu, S and Shaw, MJ (2011). Quantitative methods for Detection of Financial Fraud. Decision Support Systems, 50(3), pp. 557–558. ISSN/ISBN:1873-5797. DOI:10.1016/j.dss.2010.08.005. | ![]() |
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Bumby, R and Ellentuck, E (1969). Finitely additive measures and the first digit problem. Fundamenta Mathematicae 65, pp. 33-42. ISSN/ISBN:0016-2736. | ![]() |
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Clippe, P and Ausloos, M (2012). Benford's law and Theil transform of financial data. Physica A: Statistical Mechanics and its Applications 391(24), pp. 6556–6567. | ![]() |
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Cohen, DIA (1976). An Explanation of the First Digit Phenomenon. Journal of Combinatorial Theory Series A 20(3), pp. 367-370. ISSN/ISBN:0097-3165. | ![]() |
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da Silva, CG and Carreira, PMR (2013). Selecting Audit Samples Using Benford's Law. AUDITING: A Journal of Practice & Theory Vol. 32, No. 2, pp. 53-65. DOI:10.2308/ajpt-50340. | ![]() |
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Davis, B (1976). Some Remarks on Initial Digits. Fibonacci Quarterly 14(1), pp. 13-14. ISSN/ISBN:0015-0517. | ![]() |
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De Ceuster, MJK, Dhaene, G and Schatteman, T (1998). On the hypothesis of psychological barriers in stock markets and Benford’s law. Journal of Empirical Finance 5(3), pp. 263-279. DOI:10.1016/S0927-5398(97)00024-8. | ![]() |
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Deleanu, IS (2017). Do Countries Consistently Engage in Misinforming the International Community about Their Efforts to Combat Money Laundering? Evidence Using Benford's Law. PLoS One 12(1), p. e0169632. DOI:10.1371/journal.pone.0169632. | ![]() |
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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. | ![]() |
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Duncan, RL (1969). Note on the initial digit problem. Fibonacci Quarterly 7(5), pp. 474-475. | ![]() |
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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. | ![]() |
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Flehinger, BJ (1966). On the Probability that a Random Integer has Initial Digit A. American Mathematical Monthly 73(10), pp. 1056-1061. ISSN/ISBN:0002-9890. DOI:10.2307/2314636. | ![]() |
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Fu, D, Shi, YQ and Su, W (2007). A generalized Benford’s law for JPEG coefficients and its applications in image forensics. Proceedings of SPIE, Volume 6505, Security, Steganography and Watermarking of Multimedia Contents IX, San Jose, California, January 28 - February 1, 2007, pp. 65051L-65051L-11. DOI:10.1117/12.704723. | ![]() |
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Furlan, LV (1946). Das Harmoniegesetz der Statistik: Eine Untersuchung ueber die metrische Interdependenz der sozialen Erscheinungen. Basel, Verlag fuer Recht und Gesellschaft AG, xiii:504p. DOI:10.1111/j.1467-6435.1948.tb00591.x. GER | ![]() |
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Gini, C (1957). Sulla frequenza delle cifre iniziali dei numeri osservati. Bull. Inst. Internat. Stat., 29th session, 35(2), pp. 57-76. ITA | ![]() |
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Herzel, A (1956). Sulla distribuzione delle cifre iniziali die numeri statistic [On the frequency of initial digits of statistical numbers]. Atti XV e XVI Riunione sci., Roma, [Proceedings of the XV and XVI Scientific Meeting of the Italian Statistical Society." 1957. Faculty of Demographic and Actural Statistics. Institute of Statistics and Institute of Probability: No. 25] pp. 205-228. ITA | ![]() |
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Hill, TP (1988). Random-Number Guessing and the First Digit Phenomenon. Psychological Reports 62(3), pp. 967-971. ISSN/ISBN:0033-2941. DOI:10.2466/pr0.1988.62.3.967. | ![]() |
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Jamain, A (2001). Benford’s Law. Master Thesis. Imperial College of London and ENSIMAG. | ![]() |
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Joenssen, DW (2013). Two digit testing for Benford's Law. Proceedings of the ISI World Statistics Congress, 59th Session in Hong Kong. | ![]() |
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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. | ![]() |
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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. | ![]() |
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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. | ![]() |
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Michalski, T and Stoltz, G (2013). Do Countries Falsify Economic Data Strategically? Some Evidence That They Might. The Review of Economics and Statistics 95(2), pp. 591-616. DOI:10.1162/REST_a_00274. | ![]() |
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Mir, TA, Ausloos, M and Cerqueti, R (2014). Benford’s law predicted digit distribution of aggregated income taxes: the surprising conformity of Italian cities and regions. Eur. Phys. J. B (2014) 87: 261. ISSN/ISBN:1434-6028. DOI:10.1140/epjb/e2014-50525-2. | ![]() |
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Moser, L and Macon, N (1950). On the distribution of first digits of powers. Scripta Mathematica 16, pp. 290-292. | ![]() |
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Newcomb, S (1881). Note on the frequency of use of the different digits in natural numbers. American Journal of Mathematics 4(1), pp. 39-40. ISSN/ISBN:0002-9327. DOI:10.2307/2369148. | ![]() |
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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. | ![]() |
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Pinkham, RS (1961). On the Distribution of First Significant Digits. Annals of Mathematical Statistics 32(4), pp. 1223-1230. ISSN/ISBN:0003-4851. | ![]() |
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Raimi, RA (1976). The First Digit Problem. American Mathematical Monthly 83(7), pp. 521-538. ISSN/ISBN:0002-9890. DOI:10.2307/2319349. | ![]() |
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Shi, J, Ausloos, M and Zhu, T (2018). Benford's law is the first significant digit and distribution distances for testing the reliability of financial reports in developing countries. Physica A: Statistical Mechanics and its Applications 492(1), pp. 878-888. DOI:10.1016/j.physa.2017.11.017. | ![]() |
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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. | ![]() |
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Whitney, RE (1972). Initial digits for the sequence of primes. American Mathematical Monthly 79(2), pp. 150-152. ISSN/ISBN:0002-9890. | ![]() |
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