次线性期望下负相依随机序列加权和的完全收敛性  

Complete convergence for weighted sums of negatively dependent random variable sequences under sub-linear expectations

作　　者：陆卫国 郭明乐 LU Weiguo;GUO Mingle(College of Mathematics and Computer,Tongling University,Tongling 244000,China;School of Mathematics and Statistics,Anhui Normal University,Wuhu 241003,China)

机构地区：[1]铜陵学院数学与计算机学院,安徽铜陵244000 [2]安徽师范大学数学与统计学院,安徽芜湖241003

出　　处：《安徽科技学院学报》2023年第4期105-110,共6页Journal of Anhui Science and Technology University

基　　金：国家自然科学基金(11871076,11901006);安徽省自然科学基金(1908085MA21);地方应用型本科院校线性代数课程教学改革研究与实践项目。

摘　　要：目的:研究次线性期望下负相依(ND)随机变量阵列加权和的完全收敛性。方法:通过容度公式Hoffmann-Jorgensen型不等式,局部Lipschitz函数,充分利用次线性期望的性质。结果:建立了次线性期望下ND随机变量阵列加权和的完全收敛性的一般性结论。结论:次线性期望下ND随机变量阵列加权和的完全收敛性。Objective:The complete convergence of weighted sums for arrays of row-wise negatively dependent(abbreviated to ND)random variables under the sub-linear expectations is obtained.Methods:By using capacity formulas,Ho mann-Jorgensen type inequality,local Lipschitz function,and fully combining the properties of sub-linear expectations.Results:Some general results concerning complete convergence of weighted sums for arrays of row-wise negatively dependent(abbreviated to ND in the following)random variables under the sub-linear expectations are obtained.Conclusion:Complete convergence of weighted sums for arrays of row-wise negatively dependent(abbreviated to ND in the following)random variables under the sub-linear expectations are obtained.

关 键 词：次线性期望空间 容度 ND随机变量 加权和 完全收敛性 

分 类 号：O211.4[理学—概率论与数理统计]