相依样本平滑移动过程的矩完全收敛性(英文)  

COMPLETE MOMENT CONVERGENCE OF MOVING AVERAGE PROCESSES UNDER DEPENDENCE ASSUMPTIONS

作　　者：郭明乐[1] 何润东[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241003

出　　处：《数学杂志》2013年第2期203-212,共10页Journal of Mathematics

基　　金：Supported by the National Natural Science Foundation of China (10901003);the Key Project of Chinese Ministry of Education (211077);the Anhui Provincial Natural Science Foundation(1208085MA11)

摘　　要：本文研究了基于 -混合随机序列的平滑移动过程. 利用矩不等式和截尾的方法, 获得了基于 -混合随机序列平滑移动过程的矩完全收敛性的充分条件, 推广了文[4]和[8]的结果.In this paper, the moving average processes based on -mixing random sequence is investigated. By using moment inequality and truncation method, sufficient conditions for complete moment convergence of moving average processes based on -mixing random sequence are obtained. We improve some results in [4] and [10].

关 键 词：平滑移动过程 Φ-混合 完全收敛性 矩完全收敛性 

分 类 号：O211.4[理学—概率论与数理统计]