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The Convergence of Moments of Random Sums

โœ Scribed by Kruglov, V. M.

Book ID
118220723
Publisher
Society for Industrial and Applied Mathematics
Year
1989
Tongue
English
Weight
422 KB
Volume
33
Category
Article
ISSN
0040-585X

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We find a simple necessary and sufficient condition for the convergence of nonrandomly centered random sums under the hypothesis that sure sums of the same random variables converge. The result contained here subsumes previous results of the authors and others and gives a unified treatment of some a