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arXiv:math/0608411 [math.PR]AbstractReferencesReviewsResources

Localized large sums of random variables

Kevin Ford, Gerald Tenenbaum

Published 2006-08-16, updated 2007-03-16Version 2

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.

Comments: 8 pages; small changes suggested by the referee. To appear in Stat. Prob. Letters
Journal: Stat. Prob. Letters 78 (2008), 84-89.
Categories: math.PR, math.NT
Subjects: 60G50, 11N25
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