混合阵列行和的若干极限定理

On some limit theorems for sums of  mixing random matrix sequences

研究ρ混合阵列行和的弱收敛性、Lp敛性和完全收敛性，目的是把独立阵列行和的相关极限定理推广到ρ混合阵列行和的情形，在{Xnk；1≤k≤kn↑∞，n∈N}是Cesaro一致可积的相关条件下，利用截尾、概率不等式等手法，分别获得ρ混合阵列行和的弱收敛性、Lp收敛性和完全收敛性定理，推广了前人的一系列结果．

The week law of large numbers, Lpconvergence and complete convergence of sums of ρ mixing random matrix sequences are studies. Our main aim is to generalize corresponding limit results for independent random matrix sequences to ρ mixing random matrix sequences. Under the condition that the {Xnk;1≤k≤kn↑∞,n∈N}is Cesaro uniformly integrable, the authors are able to give the week law of large numbers, Lp convergence and complete convergence of sums of ρ mixing random matrix sequences, which generalize the results of a series of papers.