Weak convergence of random sums and maximum random sums under nonrandom norming

DOI10.1007/BF02362505zbMath0879.60018MaRDI QIDQ1354965

Victor M. Kruglov

Publication date: 28 January 1998

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

zbMATH Keywords

weak convergencerandom summaximum random sum

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Convergence of probability measures (60B10)

Cites Work

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• Convergence in law of random sums with non-random centering
• On mixing sequences of sets
• A Necessary and Sufficient Condition for Convergence in Law of Random Sums of Random Variables Under Nonrandom Centering
• A remark on stable sequences of random variables and a limit distribution theorem for a random sum of independent random variables
• Limit distribution of the maximum and minimum of successive cumulative sums of random variables
• On the central limit theorem for the sum of a random number of independent random variables

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