How fast increasing powers of a continuous random variable converge to Benford's law

DOI10.1016/J.SPL.2013.09.003zbMath1290.60041arXiv1307.5767OpenAlexW2047899915MaRDI QIDQ2439641

Michał Ryszard Wójcik

Publication date: 14 March 2014

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.5767

zbMATH Keywords

rate of convergenceFourier analysisconvergence in distributionFourier coefficientsBenford's lawuniform distribution modulo 1mantissa distributionsignificant distribution

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Strong limit theorems (60F15)

Cites Work

• A basic theory of Benford's law
• On the non-existence of a general Benford's law
• Benford’s Law, A Growth Industry
• The Distribution of Leading Significant Digits
• An Application of Fourier Series to the Most Significant Digit Problem

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