Some Strong Laws for Normed Weighted Sums of Stochastically Dominated Banach Space Valued Random Elements Irrespective of Their Joint Distributions

DOI10.1080/07362994.2013.776878zbMath1268.60039OpenAlexW2169581407MaRDI QIDQ5298845

Yuan Liao, Andrew Rosalsky

Publication date: 24 June 2013

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2013.776878

zbMATH Keywords

strong law of large numbersalmost sure convergencestochastic dominancereal separable Banach spacesequence of Banach space valued random elementsnormed weighted sums

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)

Related Items (1)

On the strong laws of large numbers for weighted sums of random variables

Cites Work

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• On the strong law of large numbers for identically distributed random variables irrespective of their joint distributions
• Stochastic convergence of weighted sums of random elements in linear spaces
• Convergence of weighted sums of tight random elements
• Strong laws of large numbers for weighted sums of random elements in normed linear spaces
• Almost certain convergence in double arrays
• On the Order of Growth and Sums of Dependent Variables
• Some general strong laws for weighted sums of stochastically dominated random variables

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