行为φ混合随机变量阵列加权和的极限行为（英文）  

On Limiting Behavior of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables

作　　者：黄海午[1,2] 吴群英[3] 张汉君[1] 叶大相[3] 

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

出　　处：《应用概率统计》2015年第1期35-45,共11页Chinese Journal of Applied Probability and Statistics

基　　金：supported by the National Nature Science Foundation of China(71271042,11361019);the Program to Sponsor Teams for Innovation in the Construction of Talent Highlands in Guangxi Institutions of Higher Learning((2011)47);the Fundamental Research Funds for the Central Universities of China(ZYGX2012J119);the Guangxi Provincial Natural Science Foundation of China(2014GXNSFBA118006,2013GXNSFDA019001);the Scientific Research Fund of Guangxi Provincial Education Department(2013YB104,YB2014150);the Science Foundation of Hengyang Normal University(14B30)

摘　　要：在本文中,令{X_(ni),i≥1,n≥1}为一列行为φ混合随机变量阵列.本文研究了行为φ混合随机变量阵列加权和的极限行为,并且一些新的完全收敛性结果被取得,这些结果推广和改进了相应的已有定理.In this paper, let {Xni, i ≥ 1, n ≥ 1} be an array of rowwise ～φ-mixing random variables. The limiting behavior of weighted sums for arrays of rowwise ～φ-mixing random variables is studied and some new complete convergence results are obtained, which generalize and improve the correspond- ing earlier theorems.

关 键 词：行为~φ混合随机变量阵列 完全收敛性 强大数定律 加权和. 

分 类 号：O211.4[理学—概率论与数理统计]