A limit theorem of multiple sums for identically distributed independent random variables

DOI10.1007/BF01095074zbMath0673.60029MaRDI QIDQ1120892

O. I. Klesov

Publication date: 1986

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

rate of convergencelarge deviationsmoment conditionsmultiple sums of independent random variables

Mathematics Subject Classification ID

Random fields (60G60) Large deviations (60F10)

Cites Work

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• Convergence rates for probabilities of moderate deviations for sums of random variables with multidimensional indices
• A limit theorem for sums of independent, nonidentically distributed random variables
• Sums of independent random variables on partially ordered sets
• Marcinkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices
• Strong laws of large numbers for \(r\)-dimensional arrays of random variables
• On the Strong Law of Large Numbers
• Complete Convergence and the Law of Large Numbers

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