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.
出处
《浙江大学学报（理学版）》
CAS
CSCD
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)
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
sequence of AANA random variables
sequence of NA random variables
three series theorem
stronglaw of large numbers.
