Equivalent conditions of complete convergence for \(m\)-dimensional products of iid random variables and application to strong law of large numbers

DOI10.1007/BF02872192zbMath0999.60030OpenAlexW1576904086MaRDI QIDQ1609557

Fengyang Cheng, Chun Su, Han-Ying Liang, Yue-bao Wang

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02872192

zbMATH Keywords

complete convergencestrong law of large numbers\(U\)-statisticmaxima of productsproduct of maxima

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Cites Work

• On convergence of tail probability series in law of large numbers
• Equivalent conditions of complete convergence for independent weighted sums
• Strong law of large numbers for multilinear forms
• Laws of large numbers for quadratic forms, maxima of products and truncated sums of i.i.d. random variables
• Strong law of large numbers for sums of products
• Convergence Rates in the Law of Large Numbers
• Complete Convergence and the Law of Large Numbers
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