m-NA随机阵列的完全收敛性的一个注记  

A NOTE ON COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE m-NEGATIVELY ASSOCIATED RANDOM VARIABLES

作　　者：胡学平[1] 

机构地区：[1]安庆师范学院数学与计算科学学院,安徽安庆246133

出　　处：《数学杂志》2016年第3期609-614,共6页Journal of Mathematics

基　　金：安徽省高校自然科学基金重点项目(KJ2013A179)

摘　　要：本文研究了行m-NA随机阵列的完全收敛性.利用文[8]中结果获得了m-NA列最大部分和的一个概率不等式,并根据该不等式和截尾的方法,探讨了行m-NA随机阵列的完全收敛性,获得了与行NA随机阵列情形类似的结果,简化了文[5]中定理1的证明.In this paper,we study the complete convergence for arrays of rowwise mnegatively associated random variables.A probability inequalities of maximal partial sum for sequence of m-negatively associated random variables is obtained according to corresponding results in[8].By applying the inequality and truncated method,the complete convergence for arrays of rowwise m-negatively associated random variables is investigated.The similar result as arrays of rowwise NA random variables is obtained under certain conditions,and simplifies the proof of Theorem 1 in[5].

关 键 词：NA列 m-NA列 完全收敛性 最大部分和 概率不等式 

分 类 号：O212.4[理学—概率论与数理统计]