On convergence of series of independent random elements in banach spaces

DOI10.1080/07362999908809589zbMath0922.60018OpenAlexW2036634785MaRDI QIDQ4238563

Andrew Rosalsky, Andrei I. Volodin, Eunwoo Nam

Publication date: 14 October 1999

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

Full work available at URL: https://doi.org/10.1080/07362999908809589

Mathematics Subject Classification ID

Probability theory on algebraic and topological structures (60B99)

Related Items

On the limiting behavior of tail series, On almost certain convergence of double series of random elements and the rate of convergence of tail series, An application of the Ryll-Nardzewski-Woyczyński theorem to a uniform weak law for tail series of weighted sums of random elements in Banach spaces

Cites Work

• Almost sure behavior of tail series in functional spaces
• A strong invariance theorem for the strong law of large numbers
• The speed of convergence of a martingale
• On Sums Of Independen Random Vectors
• Iterated logarithm laws with random subsequences
• Iterated Logarithm laws for weighted averages
• Random Series and Laws of Large Numbers in Some Banach Spaces
• On central limit and iterated logarithm supplements to the martingale convergence theorem
• On the rate of convergence of series of banach space valued random elements