An exponential inequality for negatively associated random variables.

Sung, Soo Hak

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On the bounded laws of iterated logarithm in Banach space

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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.