行NA阵列随机和的弱收敛性  

Weak Convergence Properties of Random Sums for Arrays of Row NA Random Variables

作　　者：胡学平 王静雅 HU Xueping;WANG Jingya(School of Mathematics and Physics,Anqing Normal University,Anqing 246133,China)

机构地区：[1]安庆师范大学数理学院,安徽安庆246133

出　　处：《安庆师范大学学报（自然科学版）》2021年第2期1-4,共4页Journal of Anqing Normal University(Natural Science Edition)

基　　金：安徽省教育厅高校自然科学研究重点项目(KJ2019A0557);校级一流本科专业项目(2019aqnuylzy01);校级一流教材建设项目(2019aqnuylkc13)。

摘　　要：NA相依序列是一类非常重要的随机序列,应用非常广泛,其随机和的收敛性是一个值得探讨的问题。本文利用其相关矩不等式和截尾法,研究了行NA阵列随机和的弱收敛性,所获结论推广和改进了相关文献的已有结果。NA dependent sequence is a kind of very important random sequence,which is widely used.The convergence of its random sum is a problem worth discussing.In this article,the weak convergence property of random sums for arrays of row NA random variables is discussed by utilizing the moment inequality and truncated method.The results presented in this paper have extended and improved the existing results in related literature.

关 键 词：NA列 随机和 弱收敛性 

分 类 号：O211.4[理学—概率论与数理统计]