Strong laws of large numbers for double sums of Banach space valued random elements

DOI10.1007/s10114-019-8058-5zbMath1422.60051OpenAlexW2942461367WikidataQ114852450 ScholiaQ114852450MaRDI QIDQ2311703

Yanyan Li

Publication date: 4 July 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-019-8058-5

zbMATH Keywords

strong law of large numbersalmost sure convergencereal separable Banach spacedouble array of independent random elementsRademacher type \(p\) Banach spaceconvergence in \(\mathcal{L}_p\)

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

Strong laws of large numbers for WAPND Banach-valued random elements ⋮ Strong law of large numbers for functionals of random fields with unboundedly increasing covariances ⋮ On almost sure convergence for double arrays of dependent random variables

Cites Work

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• Strong and Weak Laws of Large Numbers for Double Sums of Independent Random Elements in Rademacher TypepBanach Spaces
• On Almost Sure and Mean Convergence of Normed Double Sums of Banach Space Valued Random Elements