A general law of precise asymptotics for the complete moment convergence

被引：0
|
作者：
Yong Zhang
Xiaoyun Yang
Zhishan Dong
机构：
[1] Jilin University (Qianwei Campus),School of Mathematics
来源：
Chinese Annals of Mathematics, Series B | 2009年 / 30卷
关键词：
Complete moment convergence; General law; Precise asymptotics; 60F15; 60G50;
D O I：
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学科分类号：
摘要：
The authors achieve a general law of precise asymptotics for a new kind of complete moment convergence of i.i.d. random variables, which includes complete convergence as a special case. It can describe the relations among the boundary function, weighted function, convergence rate and limit value in studies of complete convergence. This extends and generalizes the corresponding results of Liu and Lin in 2006.
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页码：77 / 90
页数：13
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