m-END随机变量阵列加权和的完全收敛性  

Complete convergence for weighted sums of arrays of rowwise m-END random variables

作　　者：余琦欢 宁明明 潘敏 沈爱婷[1] YU Qihuan;NING Mingming;PAN Min;SHEN Airing(School of Mathematical Sciences,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《湖北大学学报（自然科学版）》2018年第4期333-338,共6页Journal of Hubei University：Natural Science

基　　金：国家自然科学基金(11501004);安徽高校省级自然科学基金(KJ2015A018);安徽大学大学生科研训练项目(KYXL2016003)资助

摘　　要：主要研究m-END随机变量阵列的完全收敛性,给出证明完全收敛性的一些充分条件.作为应用,得到了mEND随机变量阵列的Marcinkiewicz-Zygmund型强大数定律.所得结果推广了独立变量和若干相依变量的相应结果.We mainly investigated the complete convergence for weighted sums of arrays of rowwise mextended negatively dependent（ m-END） random variables. Some sufficient conditions were presented to prove the complete convergence. As an application,the Marcinkiewicz-Zygmund type strong law of large numbers for arrays of rowwise m-END random variables is also obtained. The results obtained in our work were generalized some corresponding one of independent random variables and some dependent random variables.

关 键 词：m-END随机变量 完全收敛性 加权和 

分 类 号：O211.4[理学—概率论与数理统计]