Random Operators and Stochastic Equations 12(3), pp. 201-210.
ISSN/ISBN: Not available at this time. DOI: 10.1163/1569397042222495
Abstract: The paper contains the mathematical analysis of the so-called Benford's Empirical Law, closely related to the famous Weil's theorem about uniform distribution on [0,1] of the sequence of the fractional parts x n = {nα},α is an irrational number, and Poincare theorem about convolutions of the measures on the group S 1 = [0, 1)mod 1. We prove that the Weil's theorem is "robust" in appropriate sense and generalize the Poincare theorem for the class of dependent random variables.
Bibtex:
@article{,
author = {Molchanov, Stanislav and Wang, Xian},
year = {2004},
month = {09},
pages = {201--210},
title = {On the Benford's Empirical Law},
volume = {12},
number = {3},
journal = {Random Operators and Stochastic Equations},
doi = {10.1163/1569397042222495}
}
Reference Type: Journal Article
Subject Area(s): Measure Theory, Probability Theory, Statistics