混合序列的收敛性质(英文)  

Convergence properties of -mixing random variable sequences

作　　者：沈燕[1] 王学军[1] 胡舒合[1] 杨文志[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230039

出　　处：《中国科学技术大学学报》2010年第9期914-919,共6页JUSTC

基　　金：Supported by the National Nature Science Foundation of China(10871001,60803059);the Innovation Group Foundation of Anhui University

摘　　要：设{Xn,n≥1}为混合序列.利用随机变量的截尾方法,研究了混合序列的几乎处处收敛性,并得到一些新的结果,推广和改进了独立序列的相应结果,而且并不需要另外增加其他条件.Let {X_n,n≥1} be a -mixing random variable sequence.By means of the truncation method of random variables,the almost sure convergence for -mixing sequences was discussed and some new results were obtained,which extended and improved the corresponding results for independent random variable sequences without necessarily adding any extra conditions.

关 键 词：混合序列 几乎处处收敛性 截尾 

分 类 号：O211.5[理学—概率论与数理统计]