A Derivation of Benford's Law

Autor: Bohachevsky, Ihor O., Johnson, Mark E., Stein, Myron L.
Zdroj: American Journal of Mathematical and Management Sciences; February 2006, Vol. 26 Issue: 3-4 p355-370, 16p
Abstrakt: SYNOPTIC ABSTRACTBenford distributions of leading digits arise in a multitude of everyday settings, yet the establishment of the distribution's genesis required unnecessarily restrictive postulates of scale or base invariance. We derive Benford's law from the limit of Pareto probability densities. We also provide empirical explanations of the Benford distribution's pervasiveness in practice.
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