On the Relationship Between Some of the Ordóñez Cabrera–Volodin and the Cantrell–Rosalsky Strong Laws of Large Numbers for Banach Space Valued Summands

DOI10.1080/07362994.2011.548989zbMath1227.60007OpenAlexW2075352487MaRDI QIDQ3005157

Andrew Rosalsky, Amy Cantrell

Publication date: 7 June 2011

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

Full work available at URL: https://doi.org/10.1080/07362994.2011.548989

zbMATH Keywords

strong law of large numbersalmost sure convergencereal separable Banach spacesums of Banach space valued random elements

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)

Cites Work

• On Cantrell-Rosalsky's strong laws of large numbers
• Stochastic convergence of weighted sums of random elements in linear spaces
• Some Strong Laws of Large Numbers for Banach Space Valued Summands Irrespective of Their Joint Distributions

This page was built for publication: On the Relationship Between Some of the Ordóñez Cabrera–Volodin and the Cantrell–Rosalsky Strong Laws of Large Numbers for Banach Space Valued Summands