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

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

2006-07-06

arxiv.org/abs/math/0607166v1

Mathematics

Statistics Theory

10 pages, 3 tables

Scientific paper

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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