混合随机变量序列的完全收敛性  

The Complete Convergence for-mixing Random Variables Sequence

作　　者：张水利[1] 屈聪[1] 陈英霞[1] 

机构地区：[1]平顶山学院数学与统计学院,河南平顶山467000

出　　处：《重庆师范大学学报（自然科学版）》2016年第4期74-78,共5页Journal of Chongqing Normal University:Natural Science

基　　金：河南省教育厅科学技术研究重点项目(No.14B110038);平顶山学院高层次人才科研启动项目(No.PXY-BSQD2016006)

摘　　要：研究了非同分布混合随机变量序列的完全收敛性,在更一般的条件下,利用混合随机变量序列Rosenthal型不等式和截尾方法,得到了混合随机变量序列完全收敛的充分条件。作为推论,得到了混合随机变量序列的强大数定律,这些结果深化并推广了已有的相关结果。In this paper, we studied the complete convergence for p-mixing random variables sequence with different distribution, and obtained some sufficient conditions of complete convergence for p-mixing random variables sequence under general conditions, by using the Rosenthal inequality of p-mixing random variables and truncated method. As a corollary, the strong law of large num- ber for p-mixing random variables is obtained which generalize and extend well-known results.

关 键 词：ρ混合随机变量 完全收敛性 弱随机控制 

分 类 号：O211.62[理学—概率论与数理统计]