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A Complete Convergence Theorem For Weighted Sums Under The Sub–Linear Expectations

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成果类型:
期刊论文
作者:
Feng, Fengxiang*;Huang, Haiwu
通讯作者:
Feng, Fengxiang
作者机构:
[Feng, Fengxiang] Guilin Univ Technol, Coll Sci, Guilin 541004, Guangxi, Peoples R China.
[Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.
通讯机构:
[Feng, Fengxiang] G
Guilin Univ Technol, Coll Sci, Guilin 541004, Guangxi, Peoples R China.
语种:
英文
关键词:
Complete convergence;weighted sums;sub-linear expectations
期刊:
JOURNAL OF MATHEMATICAL INEQUALITIES
ISSN:
1846-579X
年:
2021
卷:
15
期:
3
页码:
899-910
基金类别:
Funding. Fengxiang Feng’s research work is supported by the National Natural Science Foundation of China (11961015), Natural Science Foundation of Guangxi (2019GXNSFAA245031 and 2018GXNSFBA281019) 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).
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 a complete convergence theorem for weighted sums in sublinear expectations space. We establish a complete convergence theorem for weighted sums under the optimal moment conditions in sub-linear expectations space. Our result extends and improves the corresponding result of Cai (Metrika, 68:323-331, 2008) in some extent. © 2021,Journal ...

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