次线性期望空间下广义负相依序列加权和的完全收敛性  

Complete convergence of weighted sums for extended negatively dependent sequences under sublinear expectation

作　　者：费丹丹 付宗魁 FEI Dandan;FU Zongkui(School of Mathematics and Statistics,Xinyang College,Xinyang,Henan 464000,China)

机构地区：[1]信阳学院数学与统计学院,河南信阳464000

出　　处：《华东师范大学学报（自然科学版）》2023年第2期17-25,共9页Journal of East China Normal University(Natural Science)

基　　金：河南省高等学校重点科研项目(21B110006);河南省高等学校青年骨干教师培养计划(2018GGJS198);信阳学院校级一般项目(2019-XJLYB-003,2020-XJLYB-003)。

摘　　要：研究了次线性期望空间下随机变量序列的完全收敛性,利用广义负相依序列的性质,在随机变量的λ经典概率空间中独立序列的结果.The complete convergence of sequences of random variables under sublinear expectation was studied. Using the properties of extended negatively dependent(ND) sequences, under the condition that the λ-order Choquet integrals of the random variable are finite, the complete convergence of the weighted sums for extended ND sequences under a sublinear expectation was proved. The results generalize and improve the results of independent sequences in the classical probability space.

关 键 词：次线性期望空间 广义负相依序列 完全收敛性 

分 类 号：O211.4[理学—概率论与数理统计]