Mean convergence theorem for multidimensional arrays of random elements in Banach spaces

DOI10.1155/JAMSA/2006/68605zbMath1147.60301OpenAlexW2162041248MaRDI QIDQ937474

Le Van Thanh

Publication date: 15 August 2008

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54619

Mathematics Subject Classification ID

Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (3)

\(L^r\) convergence for \(B\)-valued random elements ⋮ Optimal moment conditions for complete convergence for maximal normed weighted sums from arrays of rowwise independent random elements in Banach spaces ⋮ Weak laws of large numbers of double sums of independent random elements in Rademacher type \(p\) and stable type \(p\) Banach spaces

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• Mean Convergence Theorems with or without Random Indices for Randomly Weighted Sums of Random Elements in Rademacher TypepBanach Spaces

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