Weak convergence of random sums under nonrandom centering

DOI10.1007/BF02362698zbMath0853.60022MaRDI QIDQ1917611

Victor M. Kruglov

Publication date: 5 January 1997

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

weak convergencelimit distributionsidentically distributed random variablesrandom indexrandom sum under nonrandom centering

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)

Cites Work

• Limit Theorems for the Distributions of the Sums of a Random Number of Random Variables
• A Necessary and Sufficient Condition for Convergence in Law of Random Sums of Random Variables Under Nonrandom Centering
• The asymptotic distribution of the sum of a random number of random variables
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