On almost sure convergence of weighted sums of random element sequences

DOI10.1016/S0252-9602(10)60099-9zbMATH Open1240.60005MaRDI QIDQ551394

Shixin Gan

Publication date: 19 July 2011

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

almost sure convergenceweighted sums\(L^p\) convergenceBanach space martingale difference sequenceBanach space valued random element sequencestrong law of large number

Mathematics Subject Classification ID

Strong limit theorems (60F15) Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) (L^p)-limit theorems (60F25)

Related Items (5)

Strong convergence of weighted sums of random elements through the equivalence of sequences of distributions ⋮ Title not available (Why is that?) ⋮ Title not available (Why is that?) ⋮ On iterated weighted means of bounded sequences and uniform distribution ⋮ Convergence of weighted sums of random sets

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