Some Strong Laws of Large Numbers for Banach Space Valued Summands Irrespective of Their Joint Distributions

DOI10.1081/SAP-120017533zbMath1034.60005OpenAlexW2062843520MaRDI QIDQ4795541

Amy Cantrell, Andrew Rosalsky

Publication date: 24 February 2003

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

Full work available at URL: https://doi.org/10.1081/sap-120017533

zbMATH Keywords

Banach spacesstrong law of large numbers

Mathematics Subject Classification ID

Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (4)

On the strong laws of large numbers for weighted sums of random variables ⋮ A Random Set Extension of a Strong Law of Large Numbers of Cantrell and Rosalsky ⋮ On the Relationship Between Some of the Ordóñez Cabrera–Volodin and the Cantrell–Rosalsky Strong Laws of Large Numbers for Banach Space Valued Summands ⋮ On Cantrell-Rosalsky's strong laws of large numbers

Cites Work

• Stochastic convergence of weighted sums of random elements in linear spaces
• Lim sup behavior of sums of geometrically weighted i.i.d. random variables
• A weak law for normed weighted sums of random elements in Rademacher type \(p\) Banach spaces
• Strong laws of large numbers for weighted sums of random elements in normed linear spaces
• Almost sure convergence theorems of weighted sums of random variables
• On the Azlarov-Volodin theorem for sums of I.I.D. Random elements in banach spaces
• On the Limiting Behavior of a Random Walk
• ON THE STRONG LAW OF LARGE NUMBERS FOR SUMS OF INDEPENDENT BANACH SPACE VALUED RANDOM ELEMENTS
• On the Law of the Iterated Logarithm

This page was built for publication: Some Strong Laws of Large Numbers for Banach Space Valued Summands Irrespective of Their Joint Distributions