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