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On the bounded laws of iterated logarithm inBanach space

Published online by Cambridge University Press:  15 November 2005

Dianliang Deng
Dianliang Deng*
Affiliation:
Department of Mathematics and Statistics, University of Regina, 3737 Wascana Parkway, Regina, SK, S4S 0A2 Canada; deng@math.uregina.ca
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Abstract

In the present paper, by using the inequality due to Talagrand's isoperimetric method, several versions of the bounded law of iterated logarithm for a sequence of independent Banach space valued random variables are developed and the upper limits for the non-random constant are given.

Keywords

Banach spacebounded law of iterated logarithmisoperimetric inequalityrademacher seriesself-normalizer.
Type
Research Article
Information
ESAIM: Probability and Statistics , Volume 9 , February 2005 , pp. 19 - 37
Copyright
© EDP Sciences, SMAI, 2005

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