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

作　　者：朱业春[1] 邓新[1] 潘婧[1] 凌济民[1] 王学军[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《数学研究》2012年第4期404-410,共7页Journal of Mathematical Study

基　　金：supported by the Students' Science Research Training Program of Anhui University(KYXL20110004,KYXL2012007);Students' Innovative Training Project of Anhui University(cxcy2012003)

摘　　要：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.

关 键 词：Khintchine-Kolmogorov型定理 强大数定理 ψ-混合随机变量 

分 类 号：O211.4[理学—概率论与数理统计]