NA行列阵的完全收敛性

Complete Convergence for Arrays of Rowwise Negatively Associated Random Variables

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.