From uniform distributions to Benford's law

DOI10.1239/jap/1101840566zbMath1065.60095OpenAlexW2079911169WikidataQ56068767 ScholiaQ56068767MaRDI QIDQ4660545

Thierry De La Rue, Élise Janvresse

Publication date: 4 April 2005

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f6296c741d4227c3003c48396bba265b4bffc6bf

zbMATH Keywords

probability distributionBenford's lawmantissa

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)

Related Items (9)

Benford's law: a Poisson perspective ⋮ BeyondBenford R package to compare Benford's and BDS's distributions ⋮ Benford's law and continuous dependent random variables ⋮ Survey article: on weighted densities and their connection with the first digit phenomenon ⋮ Products of random variables and the first digit phenomenon ⋮ Power series models of self-similarity in social networks ⋮ Generalizing Benford's law using power laws: application to integer sequences ⋮ An alternative to the oversimplifying Benford's law in experimental fields ⋮ Benford’s Law for Mixtures

Cites Work

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• A statistical derivation of the significant-digit law
• On the Distribution of First Significant Digits
• The First Digit Problem
• Base-Invariance Implies Benford's Law
• One-dimensional dynamical systems and Benford’s law
• On the Probability that a Random Integer has Initial Digit A

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