| Issue |
ESAIM: PS
Volume 9, June 2005
|
|
|---|---|---|
| Page(s) | 19 - 37 | |
| DOI | https://doi.org/10.1051/ps:2005002 | |
| 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; deng@math.uregina.ca
Received:
26
March
2004
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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