Generalizing Benford's law using power laws: application to integer sequences

Werner Hurlimann

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Generalizing Benford's law using power laws: application to integer sequences

Werner Hurlimann

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Abstract

A simple method to derive parametric analytical extensions of Benford's law for first digits of numerical data is proposed. Two generalized Benford distributions are considered, namely the two-sided power Benford distribution and the new Pareto Benford distribution. The fitting capabilities of these generalized Benford distributions are illustrated and compared at some interesting and important integer sequences.

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Werner Hurlimann. 2006-07-06. Generalizing Benford's law using power laws: application to integer sequences. https://arxiv.org/abs/math/0607166

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