Technical Report, Dept. of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, Canada.
ISSN/ISBN: Not available at this time. DOI: Not available at this time.
Abstract: Sharp universal bounds are given for the distance between normalised Lebesgue measure on R/Z and the distribution of log X mod 1, where X is uniform. The results dispel the popular belief that a random variable obeys Benford’s Law (at least approximately) whenever its spread is large.
Bibtex:
@TechReport{Ber,
author = {Berger, Arno},
title = {Large Spread Does Not Imply {Benford's Law}},
type = {Preprint},
institution = {Department of Mathematical and Statistical Sciences,
University of Alberta},
address = {Edmonton, AB, Canada},
year = {2010},
url = {http://www.math.ualberta.ca/~aberger/preprints/lsdnibl.pdf},
}
Reference Type: Preprint
Subject Area(s): Probability Theory