关于两两NQD序列的强收敛性  

On the Strong Convergence for Pairwise NQD Random Sequences

作　　者：高荣[1] 杨卫国[1] 程小军[1] 陶林零[1] 

机构地区：[1]江苏大学理学院,镇江212013

出　　处：《工程数学学报》2014年第4期521-528,共8页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(11071104)~~

摘　　要：两两NQD随机变量序列是一类常见的随机变量序列,在理论与实际中有着广泛的应用.本文的主要目的是要研究一般两两NQD随机变量序列的强收敛性.利用两两NQD随机变量序列的三级数定理及其性质,通过巧妙的截尾方法,获得了两两NQD随机变量序列的一类强极限定理,同时给出一般例子说明本文结果改进和真推广了现有文献的一系列结果.The pairwise NQD sequence is a general class of random variables which has been widely utilized both theoretically and practically. The purpose of this paper is to discuss the strong convergence of the general pairwise NQD random variables. By applying the pairwise NQD three theorem, the property of pairwise NQD sequences and truncation methods, a class of strong limit theorems for the pairwise NQD random sequences are established. Furthermore, we give a series of examples which indicate that the results of this paper extend the previous ones.

关 键 词：两两NQD序列 强收敛 两两NQD三级数定理 

分 类 号：O211.4[理学—概率论与数理统计]