Precise Rates in the Law of the Iterated Logarithm for the First Moment Convergence

被引：0
|
作者：
Xiaoyong Xiao
Hongwei Yin
机构：
[1] Nanchang University,Department of Mathematics
来源：
Mediterranean Journal of Mathematics | 2014年 / 11卷
关键词：
Primary 60F15; Secondary 60G50; Moment convergence rates; the law of the iterated logarithm; i.i.d. random variables;
D O I：
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摘要：
In this paper, for the partial sums with their maximums of a sequence of i.i.d. random variables, we show the precise rates in the general law of the iterated logarithm of a kind of weighted infinite series of the first moment convergence by using the strong approximation and point out the equivalent moment conditions.
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页码：173 / 192
页数：19
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