期刊论文

Feng, Fengxiang

英文

Communications in Statistics - Theory and Methods

0361-0926

2022

51

22

7885-7896

10.1080/03610926.2021.1883654

Fengxiang Feng’s research work is supported by the National Natural Science Foundation of China (11961015 and 12061027), Natural Science Foundation of Guangxi (2018GXNSFBA281019 and 2019GXNSFAA245031) and Supported by Foundation of Guilin University of Technology (GUTQDJJ2004044). Haiwu Huang’s research work is supported by the Scientific Research Fund of Hunan Provincial Education Department (18C0660), the National Statistical Science Research Project of China (2018LY05) and the State Scholarship Fund of China Scholarship Council(No.201908430242). We express our deep gratitude to the anonymous reviewers and editor for their constructive comments, which led to a much improved version of this paper.

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In this article, we study strong limit theorems for weighted sums of extended negatively dependent (END, for short) random variables under the sub-linear expectations. We establish some general complete convergence theorems for weighted sums of END random variables under the sub-linear expectations. Our results partly generalize and improve the corresponding ones previously obtained by Cai (Metrika, 68:323-331, 2008), Huang and Wang (J. Inequal. Appl. 233, doi:10.1186/1029-242X-2012-233, 2012) and Wang etal. (RACSAM, 106:235-245, 2012) in the c...