Some results on strong limit theorems for (LB)-space-valued random variables

DOI10.1016/0167-7152(94)00121-NzbMath0827.60006OpenAlexW2075026181MaRDI QIDQ1892957

M. Bhaskara Rao, Xiang Chen Wang, De Li Li

Publication date: 29 November 1995

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(94)00121-n

zbMATH Keywords

strong law of large numbersconvergence with probability oneinductive limit of separable Banach spacesKomlos theorem

Mathematics Subject Classification ID

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

Related Items (1)

Marcinkiewicz–Zygmund and ordinary strong laws for empirical distribution functions and plug-in estimators

Cites Work

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• A subsequence principle in probability theory
• Characterization of the law of the iterated logarithm in Banach spaces
• Inequalities for B-valued random vectors with applications to the strong law of large numbers
• On almost sure convergence of Cesaro averages of subsequences of vector- valued functions
• On the convergence of sums of independent Banach space valued random variables
• Subsequence principles for vector-valued random variables
• A generalization of a problem of Steinhaus

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