中文

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

统计理论 2007-06-13 v1 数论 统计理论

摘要

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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引用

@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}
}

备注

10 pages, 3 tables