Localized large sums of random variables
Probability
2007-11-21 v2 Number Theory
Abstract
We study large partial sums, localized with respect to the sums of variances, of a sequence of centered random variables. An application is given to the distribution of prime factors of typical integers.
Cite
@article{arxiv.math/0608411,
title = {Localized large sums of random variables},
author = {Kevin Ford and Gerald Tenenbaum},
journal= {arXiv preprint arXiv:math/0608411},
year = {2007}
}
Comments
8 pages; small changes suggested by the referee. To appear in Stat. Prob. Letters