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On the Generalized Benford law

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  • Barabesi, Lucio
  • Pratelli, Luca

Abstract

We provide some properties of the Generalized Benford law – a flexible model for the distribution of significant digits – which accurately describes the pattern of leading digits in the sequences of prime numbers and of non-trivial Riemann zeta zeros.

Suggested Citation

  • Barabesi, Lucio & Pratelli, Luca, 2020. "On the Generalized Benford law," Statistics & Probability Letters, Elsevier, vol. 160(C).
    • Handle: RePEc:eee:stapro:v:160:y:2020:i:c:s0167715220300055
    DOI: 10.1016/j.spl.2020.108702
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    References listed on IDEAS

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    1. Leo Egghe & Raf Guns, 2012. "Applications of the generalized law of Benford to informetric data," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 63(8), pages 1662-1665, August.
    2. F.W. Steutel & J.G.F. Thiemann, 1989. "On the independence of integer and fractional parts," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 43(1), pages 53-59, March.
    3. Pietronero, L. & Tosatti, E. & Tosatti, V. & Vespignani, A., 2001. "Explaining the uneven distribution of numbers in nature: the laws of Benford and Zipf," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 293(1), pages 297-304.
    4. Steven J. Miller, 2015. "Benford's Law: Theory and Applications," Economics Books, Princeton University Press, edition 1, number 10527.
    5. Leo Egghe & Raf Guns, 2012. "Applications of the generalized law of Benford to informetric data," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 63(8), pages 1662-1665, August.
    6. Lucio Barabesi & Andrea Cerasa & Andrea Cerioli & Domenico Perrotta, 2018. "Goodness-of-Fit Testing for the Newcomb-Benford Law With Application to the Detection of Customs Fraud," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 36(2), pages 346-358, April.
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    Cited by:

    1. Lucio Barabesi & Andrea Cerioli & Domenico Perrotta, 2021. "Forum on Benford’s law and statistical methods for the detection of frauds," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 30(3), pages 767-778, September.

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