On the bounded laws of iterated logarithm in Banach space
ESAIM: Probability and Statistics, Tome 9 (2005), pp. 19-37

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.

DOI : 10.1051/ps:2005002
Classification : 60F05, 60B12, 60F99
Keywords: Banach space, bounded law of iterated logarithm, isoperimetric inequality, Rademacher series, self-normalizer 
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Deng, Dianliang. On the bounded laws of iterated logarithm in Banach space. ESAIM: Probability and Statistics, Tome 9 (2005), pp. 19-37. doi: 10.1051/ps:2005002

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