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Convergence in Law of Random Sums with Nonrandom Centering

✍ Scribed by Z. Rychlik; T. Walczyński


Book ID
110300805
Publisher
Springer US
Year
2001
Tongue
English
Weight
84 KB
Volume
106
Category
Article
ISSN
1573-8795

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Convergence of Nonrandomly Centered Rand
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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