CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST 2012, 28(3) 277-284 DOI:      ISSN: 1001-4268 CN: 31-1256

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A Remark on the Tail Probability Sums of i.i.d. Gaussian Random Variable

He Jianjun,Xie Tingfan

Department of Mathematics, China Jiliang University

Abstract��

Letbe a sequence
of i.i.d. Gaussian random variables with zero mean and finite
variance, and set ,
.
In this paper, we prove that there exists positive constants  and ,
for small enough $\epsilon>0$, it follows that
, it follows that
.

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