Generalizing Benford's law using power laws: application to integer sequences
Statistics Theory
2007-06-13 v1 Number Theory
Statistics Theory
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.
Keywords
Cite
@article{arxiv.math/0607166,
title = {Generalizing Benford's law using power laws: application to integer sequences},
author = {Werner Hurlimann},
journal= {arXiv preprint arXiv:math/0607166},
year = {2007}
}
Comments
10 pages, 3 tables