Benfordness of the Generalized Gamma Distribution

zbMath1498.60056arXiv2201.10514MaRDI QIDQ5045945

Steven J. Miller, Irfan Durmić, Zelong Bi

Publication date: 8 November 2022

Full work available at URL: https://arxiv.org/abs/2201.10514

zbMATH Keywords

Benford's lawgeneralized gamma distributionPoisson summationdigit biasBenford distribution

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Gamma, beta and polygamma functions (33B15) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) General theory of distribution modulo (1) (11K06)

Cites Work

• The Weibull distribution and Benford's law
• Order statistics and Benford's law
• The distribution of leading digits and uniform distribution mod 1
• A statistical derivation of the significant-digit law
• Benford's law, values of L-functions and the 3x+1 problem
• The First Digit Problem
• An Introduction to Benford's Law
• Benford's Law
• A Generalization of the Gamma Distribution
• The distribution of spacings between the fractional parts of \(n^2\alpha\)
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