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On the law of the iterated logarithm for independent Banach space valued random variables

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Publication:1317229
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DOI10.1214/aop/1176989008zbMath0791.60005OpenAlexW2063012762MaRDI QIDQ1317229

Xia Chen

Publication date: 7 July 1994

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176989008

zbMATH Keywords

randomizationisoperimetric inequalitylaw of the iterated logarithmBanach space


Mathematics Subject Classification ID

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


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A general Bahadur representation of \(M\)-estimators and its application to linear regression with nonstochastic designs, Self-normalized Wittmann's laws of iterated logarithm in Banach space, Strong approximation theorems for geometrically weighted random series and their applications, On the laws of the iterated logarithm under sub-linear expectations, A LIL for independent non-identically distributed random variables in Banach space and its applications, On the bounded laws of iterated logarithm in Banach space



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