This article is cited in 1 paper

Short Communications

On conditions for convergence of sums of independent variables

A. G. Sholomitskii

Central Economics and Mathematics Institute, RAS

Abstract: The paper is devoted to nonclassical conditions for the weak convergence of distributions of sums of independent random variables to fixed distributions. The proposed conditions for sums convergence are formulated in terms of “closeness” of summands distributions to elements of expansion of a limit distribution in some integral metrics.

Keywords: nonclassical conditions for convergence, integral metrics.

Received: 07.04.1992

 English version: Theory of Probability and its Applications, 1995, 40:4, 786–791

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