NA序列随机和的几乎处处中心极限定理  

Almost Sure Central Limit Theorem for Random Sum of NA Sequences

作　　者：井照敬 张玉 JING Zhaojing;ZHANG Yu(School of Mathematics and Statistics, Chaohu University, Chaohu 238000, Anhui China)

机构地区：[1]巢湖学院数学与统计学院,安徽巢湖238000

出　　处：《吉首大学学报（自然科学版）》2020年第5期9-13,共5页Journal of Jishou University(Natural Sciences Edition)

基　　金：巢湖学院校级项目(XLY201803)。

摘　　要：运用子序列收敛性质证明了NA序列随机和的几乎处处中心极限定理,还证明了权重条件为1/j,logλj/j(λ>-1)和elogαj/j(α∈[0,1])时的几乎处处中心极限定理.The almost sure central limit theorem for the random sum of NA sequences is proved with the property of subsequence convergence.The almost sure central limit theorems is also proved under the weight conditions of 1/j,logλj/j(λ>-1)and elogαj/j(α∈[0,1]).

关 键 词：几乎处处中心极限定理 NA序列 子序列 LIPSCHITZ函数 随机和 

分 类 号：O211.4[理学—概率论与数理统计]