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

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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.
10 pages, 3 tables

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Statistics Theory, Number Theory, 11B73, 11B83, 11K31, 62E15, 62E17

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http://salesiana.dossiersoluciones.com/handle/123456789/131120

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607166
 http://arxiv.org/abs/math/0607166

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arXiv