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From uniform distributions to Benford's law

  • Élise Janvresse (a1) and Thierry de la Rue (a1)

We provide a new probabilistic explanation for the appearance of Benford's law in everyday-life numbers, by showing that it arises naturally when we consider mixtures of uniform distributions. Then we connect our result to a result of Flehinger, for which we provide a shorter proof and the speed of convergence.

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Postal address: Université de Rouen, LMRS, UMR 6085 - CNRS, 76 821 Mont Saint Aignan, France
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[11] Thorisson, H. (2000). Coupling, Stationarity, and Regeneration. Springer, New York.
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Journal of Applied Probability
  • ISSN: 0021-9002
  • EISSN: 1475-6072
  • URL: /core/journals/journal-of-applied-probability
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