Strong Limit Theorems for Weighted Sums under the Sub-linear Expectations  

作　　者：Feng-xiang FENG Ding-cheng WANG Qun-ying WU Hai-wu HUANG 

机构地区：[1]School of Mathematics and Statistics,Guilin University of Technology,Guilin 541004,China [2]School of Mathematical Science,University of Electronic Science and Technology of China,Chengdu 611731,China [3]School of Science,Guilin University of Aerospace Technology,Guilin 541004,China

出　　处：《Acta Mathematicae Applicatae Sinica》2024年第3期862-874,共13页应用数学学报（英文版）

基　　金：supported by the Natural Science Foundation of Guangxi(Grant No.2024GXNSFAA010476);the National Natural Science Foundation of China(Grant No.12361031)。

摘　　要：In this article,we study strong limit theorems for weighted sums of extended negatively dependent random variables under the sub-linear expectations.We establish general strong law and complete convergence theorems for weighted sums of extended negatively dependent random variables under the sub-linear expectations.Our results of strong limit theorems are more general than some related results previously obtained by Thrum(1987),Li et al.(1995)and Wu(2010)in classical probability space.

关 键 词：sub-linear expectation complete convergence complete moment convergence the maximal weighted sums 

分 类 号：O211.6[理学—概率论与数理统计]