Equivalent conditions of complete convergence for independent weighted sums

DOI10.1007/BF02880003zbMath0922.60033OpenAlexW2384759284MaRDI QIDQ1286708

Xuguo Liu, Chun Su, Yue-bao Wang

Publication date: 29 April 1999

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

Full work available at URL: https://doi.org/10.1007/bf02880003

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items

Convergence rates in the law of large numbers for arrays of martingale differences ⋮ Convergence rates in the law of logarithm of random elements ⋮ Complete convergence for weighted sums of NA sequences ⋮ On the strong convergence of weighted sums of widely dependent random variables ⋮ Convergence rates in the law of large numbers for arrays of Banach valued martingale differences ⋮ Equivalent conditions of complete convergence for \(m\)-dimensional products of iid random variables and application to strong law of large numbers

Cites Work

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• Complete convergence and Cesàro summation for i.i.d. random variables
• Complete convergence and almost sure convergence of weighted sums of random variables
• A Combinatorial Lemma and Its Application to Probability Theory
• Convergence Rates in the Law of Large Numbers
• Some Convergence Theorems for Independent Random Variables
• Sums of independent Banach space valued random variables
• Complete Convergence and the Law of Large Numbers
• On a Theorem of Hsu and Robbins
• Remark on my Paper "On a Theorem of Hsu and Robbins"