Theory of Probability and its Application 49(1), pp. 163-169.
ISSN/ISBN: Not available at this time. DOI: 10.1137/S0040585X97980944
Abstract: Let Y be a random variable with a completely asymmetric stable law and parameter α. This paper proves that a probability distribution of a fractional part of the logarithm of Y with respect to any base larger than 1 converges to the uniform distribution on the interval [0,1] for α→0. This implies that the distribution of the first significant digit of Y for small α can be approximately described by the Benford law.
Bibtex:
@article{,
title={Completely asymmetric stable laws and Benford's law},
author={Kulikova, Anna A and Prokhorov, Yu V},
journal={Theory of Probability \& Its Applications},
volume={49},
number={1},
pages={163--169},
year={2005},
publisher={SIAM},
DOI={10.1137/S0040585X97980944},
}
Reference Type: Journal Article
Subject Area(s): Probability Theory