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.
作者
谭希丽
董贺
孙佩宇
张勇
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)
出处
《吉林大学学报（理学版）》
CAS
北大核心
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).
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
sub-linear expectation
m-extended negatively dependent random variable sequence
weighted sum
almost sure convergence
