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Complete and complete moment convergence for weighted sums of arrays of rowwise negatively dependent random variables under the sub-linear expectations

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成果类型:
期刊论文
作者:
Feng, Fengxiang;Wang, Dingcheng*;Wu, Qunying;Huang, Haiwu
通讯作者:
Wang, Dingcheng
作者机构:
[Feng, Fengxiang; Wang, Dingcheng] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
[Feng, Fengxiang; Wu, Qunying] Guilin Univ Technol, Coll Sci, Guilin, Guangxi, Peoples R China
[Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Hunan, Peoples R China
通讯机构:
[Wang, Dingcheng] U
Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China.
语种:
英文
关键词:
Complete convergence;complete moment convergence;sub-linear expectations;negatively dependent random variables;60F15
期刊:
Communications in Statistics - Theory and Methods
ISSN:
0361-0926
年:
2021
卷:
50
期:
3
页码:
594-608
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [71871046, 11661029]; Natural Science Foundation of GuangxiNational Natural Science Foundation of Guangxi Province [2018GXNSFBA281019]; scientific research project of education department of Guangxi [2017KY0241]
机构署名:
本校为其他机构
院系归属:
数学与统计学院
摘要:
In this article, we study complete and complete moment convergence theorems for arrays of rowwise negatively dependent random variables under the sub-linear expectations. The complete and complete moment convergence theorems in the sense of non-additive capacities are established for arrays of rowwise negatively dependent random variables. Our result improves the corresponding result of Wang e...

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