AANA序列部分和的收敛性质  

Convergence properties of the partial sums of AANA sequence

作　　者：徐怀[1] 唐玲[2] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230039 [2]安徽建筑工业学院数理系,安徽合肥230601

出　　处：《浙江大学学报（理学版）》2013年第4期396-400,共5页Journal of Zhejiang University（Science Edition）

基　　金：数学天元基金(11226207)

摘　　要：利用对AANA随机变量做截尾方法处理,给出AANA随机变量序列的三级数定理.研究了在矩条件下,AANA随机变量序列的一类强极限定理和强大数定律.由于AANA随机变量序列比NA随机变量序列要弱,故本文所得的结论对NA随机变量序列仍然成立.With the help of truncation method for asymptotically almost negatively associated （AANA） random vari- ables, the three series theorem for the sequence of AANA random variables has been investigated. Under the mo- ment condition, some strong limit theorems and strong law of large numbers for partial sums of AANA sequence were obtained. Since the sequence of AANA random variables is weaker than the sequence of NA random variable, the results obtained in this paper also hold true for the sequence of NA random variables.

关 键 词：AANA随机变量序列 NA随机变量序列 三级数定理 强大数律 

分 类 号：O211.4[理学—概率论与数理统计]