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A General Law of Precise Asymptotics for the Complete Moment Convergence
Authors:Yong ZHANG  Xiaoyun YANG and Zhishan DONG
Institution:1. School of Mathematics,Jilin University Qianwei Campus,Changchun 130012,China
2. Corresponding author.School of Mathematics,Jilin University Qianwei Campus,Changchun 130012,China
Abstract: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.
Keywords:Complete moment convergence  General law  Precise asymptotics
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