END随机变量加权和的最大值序列的完全收敛性  

The complete convergence for the maximum of weighted sums of END random variables

作　　者：陶惠玲 李翔[1] 沈爱婷[1] TAO Huiling;LI Xiang;SHEN Aiting(School of Mathematical Sciences, Anhui University, Hefei 230901, China)

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《湖北大学学报（自然科学版）》2020年第4期363-371,共9页Journal of Hubei University：Natural Science

基　　金：国家自然科学基金(11871072);安徽高校省级自然科学研究重点研究重点项目(KJ2019A0003)资助.

摘　　要：众所周知,END随机变量是一类包含独立变量、NA变量以及NOD变量在内的非常广泛的相依变量.在适当的权系数和矩条件下,我们研究了END随机变量加权和的最大值序列的完全收敛性.作为应用,得到END随机变量加权和的强大数定律.所得结果推广NA变量和NOD变量的相应结果.It is well known that the class of extended negatively dependent(END)random variables includes independent random variables,negatively associated(NA)random variables and negatively orthant dependent(NOD)random variables as special cases.Under some suitable weighted coefficient and moment conditions,we investigated the complete convergence for the maximum of weighted sums of END random variables.As an application,the strong law of large numbers for the weighted sums of END random variables was obtained.The results obtained in the paper extend some corresponding ones of NA random variables and NOD random variables.

关 键 词：END随机变量 加权和 完全收敛性 强大数定律 

分 类 号：O211.4[理学—概率论与数理统计]