Volume 9, June 2005
|Page(s)||19 - 37|
|Published online||15 November 2005|
On the bounded laws of iterated logarithm in Banach space
Department of Mathematics and Statistics,
University of Regina,
3737 Wascana Parkway, Regina, SK,
S4S 0A2 Canada; email@example.com
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.
Mathematics Subject Classification: 60F05 / 60B12 / 60F99
Key words: Banach space / bounded law of iterated logarithm / isoperimetric inequality / rademacher series / self-normalizer.
© EDP Sciences, SMAI, 2005
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