Stigler's approach to recovering the distribution of first significant digits in natural data sets

Joanne Lee, Wendy K.Tam Cho, George G. Judge

Research output: Contribution to journalArticlepeer-review

Abstract

Benford's Law can be seen as one of the many first significant digit (FSD) distributions in a family of monotonically decreasing distributions. We examine the interrelationship between Benford and other monotonically decreasing distributions such as those arising from Stigler, Zipf, and the power laws. We examine the theoretical basis of the Stigler distribution and extend his reasoning by incorporating FSD first-moment information into information-theoretic methods. We present information-theoretic methods as a way to describe, connect, and unify these related distributions and thereby extend the reach of Benford's Law and FSD research more generally.

Original languageEnglish (US)
Pages (from-to)82-88
Number of pages7
JournalStatistics and Probability Letters
Volume80
Issue number2
DOIs
StatePublished - Jan 15 2010

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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