SOME LIMIT THEOREMS FOR WEIGHTED SUMS OF ARRAYS OF NOD RANDOM VARIABLES  

作　　者：甘师信 陈平炎 

机构地区：[1]College of Mathematics and Statistics,Wuhan University [2]Department of mathematics,Jinan University

出　　处：《Acta Mathematica Scientia》2012年第6期2388-2400,共13页数学物理学报（B辑英文版）

基　　金：Supported by the NNSF of China(10671149)

摘　　要：In this paper the authors study the complete, weak and almost sure convergence for weighted sums of NOD random variables and obtain some new limit theorems for weighted sums of NOD random variables, which extend the corresponding theorems of Stout [1], Thrum [2] and Hu et al. [3].In this paper the authors study the complete, weak and almost sure convergence for weighted sums of NOD random variables and obtain some new limit theorems for weighted sums of NOD random variables, which extend the corresponding theorems of Stout [1], Thrum [2] and Hu et al. [3].

关 键 词：complete convergence  weak convergence almost sure convergence ARRAY weighted sum NOD random variable sequence 

分 类 号：O211.4[理学—概率论与数理统计]