Convergence of randomly weighted sums of Banach space valued random elements and uniform integrability concerning the random weights

DOI10.1016/S0167-7152(00)00146-2zbMath0984.60012MaRDI QIDQ5933611

Andrei I. Volodin, Tien-Chung Hu, Manuel Ordóñez Cabrera

Publication date: 1 November 2001

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

arrays of Banach space valued random variablesconvergence resultsuniform integrability concepts

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Probability theory on linear topological spaces (60B11) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

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Cites Work

• On the almost sure convergence of randomly weighted sums of random elements
• Limit theorems for randomly weighted sums of random elements in normed linear spaces
• The weak law of large numbers for arrays
• Convergence of weighted sums of tight random elements
• On the limiting behavior of randomly weighted partial sums
• Convergence of weighted sums of random variables and uniform integrability concerning the weights
• Weak law of large numbers for arrays of random variables
• Stochastic convergence of randomly weighted sums of random elements
• Weak Laws of Large Numbers in Normed Linear Spaces
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