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On Benford's law to variable base

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Publication:1387689
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DOI10.1016/S0167-7152(97)00142-9zbMath0908.60018MaRDI QIDQ1387689

Peter Schatte

Publication date: 6 October 1998

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


zbMATH Keywords

discrepancyBenford's lawsums of random variablesfirst-digit problemproducts of random variables


Mathematics Subject Classification ID

Distribution theory (60E99) Limit theorems in probability theory (60F99)


Related Items (1)

The asymptotic distribution of elements in automatic sequences



Cites Work

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  • Some estimates of the \(H_{\infty}\)-uniform distribution
  • The distribution of leading digits and uniform distribution mod 1
  • On the Asymptotic Uniform Distribution of Sums Reduced mod 1
  • On the Distribution of First Significant Digits
  • The First Digit Problem
  • Base-Invariance Implies Benford's Law
  • The Significant-Digit Phenomenon
  • Mantissa Distributions
  • On the Probability that a Random Integer has Initial Digit A
  • On the Distribution of Numbers


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