一般随机变量的完全收敛及大数定律  

On the complete convergence and the strong law of large numbers for general random variables

作　　者：苗雨 常萌萌 Miao Yu;Chang Mengmeng(College of Mathematics and Information Science,Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control,Henan Normal University,Xinxiang 453007,China;College of Mathematics and Information Science,Anyang Institute of Technology,Anyang 455000,China)

机构地区：[1]河南师范大学数学与信息科学学院,大数据统计分析与优化控制河南省工程实验室,河南新乡453007 [2]安阳工学院数学与信息科学学院,河南安阳455000

出　　处：《河南师范大学学报（自然科学版）》2023年第2期15-24,F0002,共11页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(NSFC-11971154).

摘　　要：通过包含并完善一些已有结论,建立了一般随机变量的完全收敛和大数定律.特别对于两两负象限相关的随机变量,得到了其完全收敛和Marcinkiewicz-Zygmund型强大数定律之间的等价结论.In the paper,the complete convergence and the strong law of large numbers for general dependent random sequence are established,which include and improve some known results.In particular,the equivalence between complete convergence and Marcinkiewicz-Zygmund strong law of large numbers for the pairwise negatively quadrant dependent random variables is obtained.

关 键 词：完全收敛 强大数定律 随机变量 

分 类 号：O175.2[理学—数学]