φ混合序列Jamison型加权和的强稳定性  

The Strong Stability for Jamison Tpyes Weighted Sums of the φ-mixing Random Sequences

作　　者：宋翌[1] 谭雪梅[1] 王学敏[1] 

机构地区：[1]武汉生物工程学院计算机与信息工程系,湖北武汉430415

出　　处：《哈尔滨理工大学学报》2014年第2期51-56,共6页Journal of Harbin University of Science and Technology

基　　金：湖北省自然科学基金(2011cd297);武汉市教育局资助项目(2011083)

摘　　要：主要研究同分布φ混合序列广义Jamison型加权和的强收敛.依据φ混合序列Jamison型加权和及加权乘积和的强稳定性的理论,以及φ列的强稳定性和完全收敛性,把在独立同分布随机变量序列及NA列中Jamison型加权和得到的结果应用推广到了φ混合序列,并得到了一些关于Jamison型加权乘积和强收敛性的相关定理.Abstract：This paper was to study the same distributional strong stability for Jamison tpyes weighted sums of （~φ）-mixing random sequences.This article mainly discussed based on the weighted sums out Jamison and strong stability of the theory of the weighted product sums,and the strong stability and complete convergence of the （~φ） rank.We had extended the results of the rank of independent same distributed random variables and the Jamison＇ s weighted sums of NA rank to （~φ） mixed rank,and some strong convergence of the related theorems about the Jamison＇ s weighted product.

关 键 词：(~φ)混合序列 Jamison型加权和 强稳定性 

分 类 号：O211.4[理学—概率论与数理统计]