@article{Xu2023, 
author = {Mingzhou Xu and Xuhang Kong},
title = {Note on complete convergence and complete moment convergence for negatively dependent random variables under sub-linear expectations},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {4},
pages = {8504-8521},
keywords = {complete convergence, negatively dependent random variables, complete moment convergence, sub-linear expectations},
url = {https://www.sciopen.com/article/10.3934/math.2023428},
doi = {10.3934/math.2023428},
abstract = {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.}
}