次线性期望下m-END序列加权和的几乎处处收敛性  

Almost Sure Convergence of Weighted Sums for m-END Sequences under Sub-linear Expectations

作　　者：谭希丽[1] 董贺 孙佩宇 张勇[2] TAN Xili;DONG He;SUN Peiyu;ZHANG Yong(College of Mathematics and Statistics,Beihua University,Jilin 132013,Jilin Province,China;Institute of Mathematics,Jilin University,Changchun 130012,China)

机构地区：[1]北华大学数学与统计学院,吉林吉林132013 [2]吉林大学数学研究所,长春130012

出　　处：《吉林大学学报（理学版）》2023年第5期1073-1082,共10页Journal of Jilin University:Science Edition

基　　金：吉林省自然科学基金(联合基金项目)(批准号:YDZJ202101ZYTS156);北华大学研究生创新计划项目(批准号:2021003).

摘　　要：利用Rosenthal不等式,讨论条件为■,■的次线性期望下m-END(m-extended negatively dependent)随机变量序列加权和的几乎处处收敛性.将经典概率空间中END序列加权和的几乎处处收敛性推广到次线性期望下m-END随机变量序列加权和的几乎处处收敛性.By using Rosenthal’s inequality,we discussed almost sure convergence of weighted sums for m-END(m-extended negatively dependent)random variable sequence with the condition of ■,■ under sub-linear expectations.Almost sure convergence of weighted sums for END sequence in the classical probability space was extended to the almost sure convergence of weighted sums for m-END random variable sequence under the sub-linear expectations.

关 键 词：次线性期望 m-END随机变量序列 加权和 几乎处处收敛 

分 类 号：O211.4[理学—概率论与数理统计]