A NEW KIND OF THE LAW OF THE ITERATED LOGARITHM FOR PRODUCT OF A CERTAIN PARTIAL SUMS

被引：0
|
作者：
Zang, Qing-Pei [1 ]
机构：
[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2011年 / 48卷 / 05期
关键词：
law of the iterated logarithm; product of partial sums; strong law of large numbers; SURE LIMIT-THEOREM; ASYMPTOTIC-DISTRIBUTION;
D O I：
10.4134/BKMS.2011.48.5.1041
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let {X, X-i; i >= 1} be a sequence of independent and identically distributed positive random variables. Denote S-n = Sigma(n)(i)=1 X-i and S-n((k)) = S-n - X-k for n >= 1, 1 <= k <= n. Under the assumption of the finiteness of the second moments, we derive a type of the law of the iterated logarithm for S the limit point set for its certain normalization.
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页码：1041 / 1046
页数：6
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