两两NQD阵列行和的若干极限定理  

On Some Limit Theorems for Sums of Pairwise NQD Random Matrix Sequences

作　　者：鄢寒[1] 吴群英[2] 王叶超[2] 

机构地区：[1]北京航空航天大学经济管理学院,北京100191 [2]桂林理工大学理学院,广西桂林541004

出　　处：《数学的实践与认识》2010年第23期155-160,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(50778009)

摘　　要：讨论了两两NQD阵列行和的弱收敛性、L_p收敛性和完全收敛性,在{X_(nk);1≤k≤k_n↑∞,n≥1}是Cesaro一致可积的相关条件下,获得了两两NQD阵列行和的弱收敛性、Lp收敛性和完全收敛性定理,将独立阵列行和的相关极限定理推广到了两两NQD阵列行和的情形.The week law of large numbers,L_pconvergence and complete convergence of the maximum of sums of pairwise NQD random matrix sequences are discussed.Under the condition that the{X_（nk）;1≤k≤k_n↑∞,n≥1}is Cesaro uniformly integrable,the authors are able to give the week law of large numbers,L_pconvergence and complete convergence of the maximum of sums of pairwise NQD random matrix sequences,which generalize the corresponding limit results for independent random matrix sequences to pairwise NQD random matrix sequences.

关 键 词：两两NQD阵列行和 收敛性 一致可积 

分 类 号：O211.4[理学—概率论与数理统计]