φ混合随机变量最大值加权和的强收敛(英文)  

On Strong Convergence for Maximal Weighted Sums of φ-mixing Random Variables

作　　者：黄海午[1,2] 叶大相[3] 

机构地区：[1]湘潭大学数学与计算机科学学院,湖南湘潭411105 [2]衡阳师范学院数学与计算科学系,湖南衡阳421002 [3]桂林理工大学理学院,广西桂林541004

出　　处：《应用数学》2015年第2期291-298,共8页Mathematica Applicata

基　　金：Supported by the National Nature Science Foundation of China(71271042,11401127);the Program to Sponsor Teams for Innovation in the Construction of Talent Highlands in Guangxi Institutions of Higher Learning((2011)47);the Support Program of the Guangxi China Science Foundation(2014GXNSFBA118006,2013GXNSFDA019001);the Guangxi Provincial Scientic Research Projects(201204LX157,2013YB104,YB2014150);the Construct Program of the Key Discipline in Hunan Province([2011]76);the Science Foundation of Hengyang Normal University(14B30)

摘　　要：本文研究φ混合随机变量最大值加权和的强收敛性质.提出关于不同分布φ混合随机变量完全收敛的一些结果.作为一个应用,取得φ混合随机变量加权和的Marcinkiewicz-Zygmund型强大数定律.In this article, the strong convergence properties for maximal weighted sums of φ-mixing random variables are studied. Some results on the complete convergence for φ -mixing random variahies are presented without assumption of identical distribution. As an application, the Marcinkiewicz- Zygmund type strong law of large numbers for weighted sums of φ-mixing random variables is ob- tained.

关 键 词：φ混合随机变量 完全收敛 Marcinkiewicz-Zygmund型强大数定律 加权和 

分 类 号：O211.4[理学—概率论与数理统计]