可交换随机变量序列的随机极限定理

Random Limit Theorems of Exchangeable Random Variable Sequences

中文关键词:  可交换随机变量序列  强大数律  加权和

英文关键词:exchangeable random variables  strong law of large numbers  weighted sums.

中文摘要:

      本文讨论了可交换随机变量序列{X_n:n≥1}的极限定理,得到了可交换随机变量序列的随机强大数律及加权和定理,并推广了文[4]中的结果.

英文摘要:

      In this paper,we discuss limit theorems of exchangeable random variables {X_n:n≥1}, obtain random strong law and weighted sums theorems of exchangeable random variable sequences, and extend the results of paper [4].