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A criterion of convergence of nonrandomly centered random sums of independent identically distributed random variables

✍ Scribed by V. Yu. Korolev; V. M. Kruglov


Publisher
Springer US
Year
1998
Tongue
English
Weight
755 KB
Volume
89
Category
Article
ISSN
1573-8795

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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