摘要
主要研究m-END随机变量阵列的完全收敛性,给出证明完全收敛性的一些充分条件.作为应用,得到了mEND随机变量阵列的Marcinkiewicz-Zygmund型强大数定律.所得结果推广了独立变量和若干相依变量的相应结果.
We mainly investigated the complete convergence for weighted sums of arrays of rowwise mextended negatively dependent（ m-END） random variables. Some sufficient conditions were presented to prove the complete convergence. As an application,the Marcinkiewicz-Zygmund type strong law of large numbers for arrays of rowwise m-END random variables is also obtained. The results obtained in our work were generalized some corresponding one of independent random variables and some dependent random variables.
作者
余琦欢
宁明明
潘敏
沈爱婷
YU Qihuan;NING Mingming;PAN Min;SHEN Airing(School of Mathematical Sciences,Anhui University,Hefei 230601,China)
出处
《湖北大学学报（自然科学版）》
CAS
2018年第4期333-338,共6页
Journal of Hubei University：Natural Science
基金
国家自然科学基金(11501004)
安徽高校省级自然科学基金(KJ2015A018)
安徽大学大学生科研训练项目(KYXL2016003)资助
关键词
m-END随机变量
完全收敛性
加权和
m-extended negatively dependent random variables
complete convergence
weighted sums
