Title

A Derivation Of Benford’S Law

Keywords

Benford’s Law; Leading digits; Pareto distribution; Truncated Cauchy distribution

Abstract

Benford distributions of leading digits arise in a multitude of everyday settings, yet the establishment of the distribution’s genesis required unnecessarily restrictive postulates of scale or base invariance. We derive Benford’s law from the limit of Pareto probability densities. We also provide empirical explanations of the Benford distribution’s pervasiveness in practice. © 2006, Taylor & Francis Group, LLC. All rights reserved.

Publication Date

1-1-2006

Publication Title

American Journal of Mathematical and Management Sciences

Volume

26

Issue

3-4

Number of Pages

355-370

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1080/01966324.2006.10737678

Socpus ID

34248186020 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/34248186020

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