A General Law of Precise Asymptotics for the Complete Moment Convergence

被引：0
|
作者：
Yong ZHANG Xiaoyun YANG Zhishan DONG School of Mathematics
机构：
来源：
Chinese Annals of Mathematics | 2009年 / 30卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Complete moment convergence; General law; Precise asymptotics;
D O I：
暂无
中图分类号：
O212 [数理统计];
学科分类号：
020208 ; 070103 ; 0714 ;
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 con- vergence 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：14
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