次线性期望空间下END列Jamison型加权和的几乎处处收敛性  

Almost Sure Convergence of Jamison Type Weighted Sums ofEND Sequence in Sub-linear Expectation Space

作　　者：刘伦义 吴群英[1] LIU Lunyi;WU Qunying(College of Science,Guilin University of Technology,Guilin 541004,Guangxi Zhuang Autonomous Region,China)

机构地区：[1]桂林理工大学理学院,广西桂林541004

出　　处：《吉林大学学报（理学版）》2023年第4期808-814,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:12061028)。

摘　　要：利用截尾的方法,考虑次线性期望空间下广义负相依(END)随机变量序列Jamison型加权和的几乎处处收敛问题,得到了次线性期望空间下END随机变量序列Jamison型加权和的几乎处处收敛性.将概率空间下END随机变量序列Jamison型加权和的几乎处处收敛拓展到了次线性期望空间下,推广了Jamison定理.We considered the convergence problem of the Jamison type weighted sums of extended negatively dependent(END)random variab le sequences in a sub-linear expectation space by using the truncation method,and obtained the convergence of the Jamison type weighted sums of END random vari able sequences in a sub-linear expectation space.We extended almost sure convergence of Jamison type weighted sums of END random variable sequences in probability spaces to sub-linear expectation spaces,and the Jamison theorem was generalized.

关 键 词：次线性期望 几乎处处收敛 Jamison型加权和 END随机变量序列 截尾 

分 类 号：O211.4[理学—概率论与数理统计]