References

EMERGENCE OF BENFORD€™S LAW IN MUSIC


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[2] Pieter C. Allaart, An invariant-sum characterization of Benford’s law, Journal of Applied Probability 34(1) (1997), 288-291.
DOI: https://doi.org/10.2307/3215195

[3] Frank Benford, The law of anomalous numbers, Proceedings of the American Philosophical Society 78(4) (1938), 551-572.

[4] Arnold Berger and Theodore P. Hill, Benford Online Bibliography, 2009.

[5] Arnold Berger and Theodore P. Hill, A basic theory of Benford’s law, Probability Surveys 8 (2011), 1-126.
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[6] Persi Diaconis, The distribution of leading digits and uniform distribution mod 1, The Annals of Probability 5(1) (1977), 72-81.
DOI: https://doi.org/10.1214/aop/1176995891

[7] Theodore P. Hill, Base-invariance implies Benford’s law, Proceedings of the American Mathematical Society 123(3) (1995), 887-895.
DOI: https://doi.org/10.1090/S0002-9939-1995-1233974-8

[8] Azar Khosravani and Constantin Rasinariu, n-Digit Benford distributed random variables, Advances and Applications in Statistics 36(2) (2013), 119-130.

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[10] Simon Newcomb, Note on the frequency of use of the different digits in natural numbers, American Journal of Mathematics 4(1) (1881), 39-40.

[11] Mark J. Nigrini, The Detection of Income Tax Evasion Through an Analysis of Digital Frequencies, Ph.D. Thesis, University of Cincinnati, OH, USA, 1992.

[12] Mark J. Nigrini, Benford’s Law: Applications for Forensic Accounting, Auditing, and Fraud, Detection, Wiley, 2012.

[13] Roger S. Pinkham, On the distribution of first significant digits, The Annals of Mathematical Statistics 32(4) (1961), 1223-1230.

[14] Raplh A. Raimi, The first digit problem, The American Mathematical Monthly 83(7) (1976), 521-538.
DOI: https://doi.org/10.2307/2319349

[15] Mathematica, Version 11.3, Wolfram Research, Inc., Champaign, IL, 2018.