NA行列阵的完全收敛性  

Complete Convergence for Arrays of Rowwise Negatively Associated Random Variables

作　　者：张林松[1] 

机构地区：[1]合肥学院数学与物理系,合肥230601

出　　处：《合肥学院学报（自然科学版）》2010年第4期1-3,共3页Journal of Hefei University :Natural Sciences

基　　金：安徽省教育厅自然科学一般项目(KJ2010B181);合肥学院自然科学基金项目(08KY024ZR)资助

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.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.

关 键 词：NA行列阵 完全收敛性 Toeplitz阵 A.S.收敛 

分 类 号：O211[理学—概率论与数理统计]