NA列与两两NQD列的L^p收敛性  

L^p convergence for NA random sequences and pairwise NQD random sequences

作　　者：吴永锋[1] 

机构地区：[1]铜陵学院数学与计算机科学系,安徽铜陵244000

出　　处：《纯粹数学与应用数学》2009年第2期377-383,共7页Pure and Applied Mathematics

基　　金：安徽高校省级自然科研项目(KJ2008B15ZC);安徽省高校青年教师资助计划项目(2008jq1140)

摘　　要：设{Xn,n1}是NA列或两两NQD列,{ank;1≤k≤n,n∈N}是实数阵列.利用矩不等式和截尾方法,研究了sum from k=1 to n(ankXk)的Lp收敛性,所获结论推广和改进了前人的相应结果.Let {Xn,n ≥ 1} be a NA random sequences or a Pairwise NQD random sequences, let {ank; 1 ≤ k ≤ n,n∈ N} be an arrays of real numbers. By the mean＇s moment inequality and truncated method, the author is able to give the L^p convergence of weighted sums ∑k=1^n ankXk, which extend the corresponding results in some previous papers.

关 键 词：NA列 两两NQD列 Lp收敛性 一致可积 

分 类 号：O211.4[理学—概率论与数理统计]