Stable convergence of random sequences with random indices

DOI10.1007/BF02673728zbMath0969.60049OpenAlexW160118554MaRDI QIDQ1585966

Bo Zhang

Publication date: 2 October 2001

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

Full work available at URL: https://doi.org/10.1007/bf02673728

zbMATH Keywords

stable convergencerandom sumrandom indices

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50)

Related Items (1)

An Anscombe-type theorem

Cites Work

• On mixing and stability of limit theorems
• Stable convergence of square integrable martingale array
• On the asymptotic distribution of the sum of a random number of independent random variables
• On mixing sequences of sets
• On mixing sequences of random variables
• On limit distributions of sequences of random vraiables with random indices
• Weak convergence of randomly indexed sequences of random variables
• Limit Theorems for the Maximal Random Sums
• A remark on stable sequences of random variables and a limit distribution theorem for a random sum of independent random variables
• On the Asymptotic Distribution of the Sequences of Random Variables with Random Indices
• On the central limit theorem for the sum of a random number of independent random variables
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