摘要
研究END(extended negatively dependent)随机变量序列加权和的极限性质。利用Rosenthal型不等式,获得了END随机变量序列加权和的弱大数定律、L^p收敛性和完全收敛性成立的充分条件。推广了独立随机变量序列、NA(negatively associated)随机变量序列和NOD(negatively orthant dependend)随机变量序列的相关结果,推进了前人的研究工作。
In the paper,we investigate the limiting properties of weighted sums for extended negatively dependent(END)random variables.By Rosenthal inequality,some sufficient conditions of the weak law of large numbers,the L^p convergence and complete convergence of weighted sums for END random variables are presented.The results in this article extend and improve the corresponding ones for independent random variables,NA(negatively associated)random variables and NOD(negatively orthant dependend)random variables,so the results in this article improve the corresponding results in previous papers.
作者
宋明珠
常强强
廖佳佳
SONG Mingzhu;CHANG Qiangqiang;LIAO Jiajia(College of Mathematics and Computer Science,Tongling University,Tongling 244000,Anhui,China)
出处
《武汉大学学报（理学版）》
CAS
CSCD
北大核心
2020年第5期512-518,共7页
Journal of Wuhan University:Natural Science Edition
基金
安徽省高校自然科学研究重点项目(KJ2019A0700)
国家级大学生创新创业训练计划项目(201910383001)。
关键词
END序列
加权和
L^p收敛性
完全收敛性
END random variables
weighted sums
L^p convergence
complete convergence
