Preprint arXiv:1512.06049 [math.PR]; last accessed January 9, 2019.
ISSN/ISBN: Not available at this time. DOI: Not available at this time.
Abstract: We provide conditions on dependent and on non-stationary random variables Xn ensuring that the mantissa of the sequence of products (∏n1Xk) is almost surely distributed following the Benford's law or converges in distribution to the Benford's law.
Bibtex:
@ARTICLE{,
author = {{Chenavier}, Nicolas and {Masse}, Bruno and {Schneider}, Dominique},
title = "{Products of random variables and the first digit phenomenon}",
journal = {arXiv e-prints},
keywords = {Mathematics - Probability},
year = 2015,
month = Dec,
eid = {arXiv:1512.06049},
pages = {arXiv:1512.06049},
archivePrefix = {arXiv},
eprint = {1512.06049},
}
Reference Type: Preprint
Subject Area(s): Probability Theory