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NA行列阵的完全收敛性
引用本文:张林松.NA行列阵的完全收敛性[J].合肥学院学报(自然科学版),2010,20(4):1-3.
作者姓名:张林松
作者单位:合肥学院数学与物理系,合肥230601
基金项目:安徽省教育厅自然科学一般项目,合肥学院自然科学基金
摘    要:在前人研究的基础上,证明了NA随机变量序列阵满足一定条件下的完全收敛性.根据这个定理得出两个推论,即NA随机变量序列阵在EXni1+λn□?,1≤i≤bn,n≥1条件下和NA随机变量序列阵由随机变量X控制的Toeplitz阵情形下的完全收敛性.

关 键 词:NA行列阵  完全收敛性  Toeplitz阵  a.s.收敛

Complete Convergence for Arrays of Rowwise Negatively Associated Random Variables
ZHANG Lin-song.Complete Convergence for Arrays of Rowwise Negatively Associated Random Variables[J].Journal of Hefei University :Natural Sciences,2010,20(4):1-3.
Authors:ZHANG Lin-song
Institution:ZHNAG Lin-song (Department of Mathematics and Physics , Hefei University, Hefei 230601, China)
Abstract:In this paper , according the previously result, some resuhs on complete convergence for arrays of rowwise negatively associated random variables are presented. Based on this theorem, two corollaries are presented. One condition is for arrays of rowwise negatively associated random variables in EXni1+λn〈□?,1≤i≤bn,n≥1, the other condition is for arrays of rowwise negatively associated random variables controled by random variable X of Toeplitz matrix.
Keywords:arrays of rowwise NA  complete convergence  Toeplitz array  a  s  convergence
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