数学杂志2011，Vol.31Issue(1)：103-108,6.
行为(ρ)混合阵列加权和的收敛性
CONVERGENT BEHAVIORS OF WEIGHTED SUMS FOR ARRAYS OF ROWWISE (ρ) MIXING RANDOM VARIABLES
摘要
Abstract
In this article, we study the convergent behaviors of weighted sums for arrays of rowwise ～p mixing random variables. By using Rosenthal-type inequality of partial sums for ～p-mixing random variables, we study the equivalences among L1 convergence, convergence in probability, almost sure convergence and complete convergence of weighted sums for arrays of rowwise ～p-mixing random variables. Our results extend the corresponding results of arrays of rowwise independent random variables.关键词
(ρ)混合阵列/Rosenthal型最大值不等式/完全收敛性/依概率收敛性分类
数理科学引用本文复制引用
谭成良,吴群英,何燕梅..行为(ρ)混合阵列加权和的收敛性[J].数学杂志,2011,31(1):103-108,6.基金项目
广西研究生教育创新计划项目(2007105960812M18) （2007105960812M18）
国家自然科学基金资助项目(10661006). （10661006）
