Note on complete convergence and complete moment convergence for negatively dependent random variables under sub-linear expectations

AIMS Mathematics

article

Mingzhou Xu¹  Xuhang Kong¹ 

[1] School of Information Engineering, Jingdezhen Ceramic University

关键词: negatively dependent random variables;    complete convergence;    complete moment convergence;    sub-linear expectations;   

DOI  :  10.3934/math.2023428

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this article, we study the complete convergence and the complete moment convergence for negatively dependent (ND) random variables under sub-linear expectations. Under proper conditions of the moment of random variables, we establish the complete convergence and the complete moment convergence. As applications, we obtain the Marcinkiewcz-Zygmund type strong law of large numbers of ND random variables under sub-linear expectations. The results here generalize the corresponding ones in classic probability space to those under sub-linear expectations.

【 授权许可】

CC BY