Convergence of Nonrandomly Centered Random Sums

✍ Scribed by M. Finkelstein; H.G. Tucker; J.A. Veeh

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 251 KB
• Volume: 15
• Category: Article
• ISSN: 0196-8858
• DOI: 10.1006/aama.1994.1014

✦ Synopsis

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 apparently disparate situations. 1994 Academic Press, Inc.