Ψ-混合随机变量序列的强大数定律(英文)

Strong Law of Large Numbers for Sequences ofΨ-mixing Random Variables

主要研究Ψ-混合随机变量序列部分和的强大数定律,并且得到了一些新结果在混合系数满足一定条件时,本文的结果推广了独立序列的相应结果.

In this paper, we study some strong laws of large numbers for the partial sums of ψ-mixing random variables and obtain some new results. The results for sequences of C-mixing random variables generalize the corresponding ones for independent random variables without necessarily adding any extra conditions, except that the mixing coefficients satisfying certain condition.