摘要
本文主要研究了两两NQD列的完全收敛性和强大数定律.文中给出了两两NQD列的定义和推广的Kolmogorov型不等式,并利用推广的Kolmogorov型不等式,得到了两两NQD列的完全收敛性定理.本文构造了两个不增函数,利用不增函数的性质,得到了两两NQD列的强大数定律.本文得到的强大数定律与独立随机变量情况下的强大数定律相类似,进而推广了前人的研究成果.
In this paper, we study the complete convergence properties and strong laws of large numbers for pairwise NQD random sequences. We present the de nition of pairwise NQD random sequences and the Kolmogorov inequality to the case of pairwise NQD random sequences. Based on the Kolmogorov inequality, we obtain complete convergence propertiesof pairwise NQD random sequences. We construct two non-increasing functions based on theproperties of non-increasing function, and obtain some strong laws of large number for pairwise NQD random sequences, which is similar to independent random variable sequences. The theorem obtained in this paper thus inclines to extend the related results presented in previous literatures.
作者
宋明珠
吴永锋
SONG Ming-zhu;WU Yong-feng(School of Mathematics and Computer Science, Tongling University, Tongling, Anhui 244000)
出处
《工程数学学报》
CSCD
北大核心
2017年第1期38-46,共9页
Chinese Journal of Engineering Mathematics
基金
安徽省高校自然科学研究重点项目(KJ2014A255
KJ2016A705)
安徽省高校优秀青年人才支持计划重点项目(gxyq ZD2016317)~~
关键词
两两NQD列
完全收敛性
强大数定律
极限定理
pairwise NQD random sequences
complete convergence properties
strong laws of large numbers
limit theorems
作者简介
宋明珠(1979年11月生)，女，讲师. 研究方向：随机过程的极限性质.
