This article is cited in 2 papers

Almost sure convergence of multiple series of independent random variables

O. I. Klesov

National Technical University of Ukraine "Kiev Polytechnic Institute"

Abstract: Multiple sums of independent random variables are considered. Necessary and sufficient conditions are obtained for the almost sure convergence of multiple series. Some corollaries are given regarding different classes of summands.

Keywords: multiple sums, independent random variables, almost sure convergence.

Received: 28.11.1991
Revised: 01.03.1994

 English version: Theory of Probability and its Applications, 1995, 40:1, 52–65

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