应用数学2017,Vol.30Issue(4):864-873,10.
行负相依随机变量阵列的完全收敛性
On the Complete Convergence for Arrays of Rowwise Negatively Associated Random Variables
摘要
Abstract
In this work,the author investigates the complete convergence of the maximum partial sums for arrays of rowwise negatively associated random variables without assumptions of identical distribution and stochastic domination,and obtains some new results,which extend and improve previous known theorems for arrays of rowwise independent and rowwise negatively associated random variables.As an application,the Chung-type strong law of large numbers for arrays of rowwise negatively associated random variables is also obtained.关键词
行负相依随机变量阵列/完全收敛性/Chung型强大数定律Key words
Arrays of rowwise negatively associated random variables/Complete convergence/Chung-type strong law of large numbers分类
数理科学引用本文复制引用
黄海午..行负相依随机变量阵列的完全收敛性[J].应用数学,2017,30(4):864-873,10.基金项目
Supported by the National Nature Science Foundation of China (11526085),the Humanities and Social Sciences Foundation for the Youth Scholars of Ministry of Education of China (15YJCZH066),the Science and Technology Plan Project of Hunan Province(2016TP1020) and the Construct Program of the Key Discipline in Hunan Province (11526085)