Almost sure convergence and complete convergence for the weighted sums of martingale differences

DOI10.1007/BF02842350zbMath0963.60031MaRDI QIDQ4500099

Aijiao Deng, Jingjun Liu

Publication date: 21 June 2001

Published in: Wuhan University Journal of Natural Sciences (Search for Journal in Brave)

zbMATH Keywords

complete convergencemartingale differencesalmost sure convergenceweighted sumsmoving average processesBanach space valued random variables

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Strong limit theorems (60F15)

Cites Work

• Unnamed Item
• Complete convergence of weighted sums of martingale differences
• Large deviations for some weakly dependent random processes
• A remark on almost sure convergence of weighted sums
• Complete convergence of moving average processes
• Complete convergence and almost sure convergence of weighted sums of random variables
• Almost certain convergence in double arrays
• Almost sure convergence theorems of weighted sums of random variables

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