行为m-NA阵列的若干极限理论  

On Some Theorems of Rowwise m-NA Random Matrix Sequences

作　　者：王宽程[1] 高小明[1] 杨英钟[1] WANG Kuancheng;GAO Xiaoming;YANG Yingzhong(College of Information Management,Minnan University of Science and Technology, Quanzhou 362700, China)

机构地区：[1]闽南理工学院信息管理学院,福建泉州362700

出　　处：《沈阳大学学报（自然科学版）》2020年第6期535-538,共4页Journal of Shenyang University：Natural Science

基　　金：福建省中青年教师教育科研项目(JT180693).

摘　　要：在较广泛的条件下,研究了m-NA阵列行和的收敛性质,利用截尾方法和矩不等式,获得了行为m-NA阵列的弱大数律、Lp收敛性和完全收敛性定理.Under a wide range of conditions,the convergence properties of the row sums of m-NA arrays were studied.The weak law of large numbers,Lp convergence and complete convergence theorems of the behavior m-NA arrays were obtained by the tail-cutting method and the moment inequality.

关 键 词：m-NA阵列 完全收敛性 一致可积 NA列 矩不等式 

分 类 号：O211.4[理学—概率论与数理统计]