On almost certain convergence of double series of random elements and the rate of convergence of tail series

DOI10.1080/17442508.2020.1718151zbMath1495.60013OpenAlexW3002353516MaRDI QIDQ5086628

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Publication date: 6 July 2022

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508.2020.1718151

zbMATH Keywords

double seriesstrong law of large numbersconvergence in probabilityreal separable Banach spacedouble array of independent random elementsRademacher type \(p\) Banach spacetail seriesalmost certain convergence

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) 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 almost sure convergence for double arrays of dependent random variables

Cites Work

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• Limit Theorems for Multi-Indexed Sums of Random Variables
• CONVERGENCE OF DOUBLE SERIES OF RANDOM ELEMENTS IN BANACH SPACES
• Maximal inequalities for partial sums of independent random vectors with multi dimensional time parameters
• On Almost Sure and Mean Convergence of Normed Double Sums of Banach Space Valued Random Elements
• On convergence of series of independent random elements in banach spaces
• On the rate of convergence of series of banach space valued random elements

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