Convergence properties for coordinatewise asymptotically negatively associated random vectors in Hilbert space

被引：1

作者：

He, Qihui ^{[1
]}

Pan, Lin ^{[2
]}

机构：

[1] Anhui Finance & Trade Vocat Coll, Dept Publ Educ, Hefei 230601, Peoples R China

[2] Anhui Acad Governance, Dept Basic Educ, Hefei 230022, Peoples R China

来源：

OPEN MATHEMATICS | 2023年 / 21卷 / 01期

关键词：

law of large numbers; complete convergence; complete moment convergence; coordinatewise asymptotically negatively associated; Hilbert space; DEPENDENT RANDOM-VARIABLES; SURE CONVERGENCE; SUMS;

D O I：

10.1515/math-2022-0556

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, the authors study some convergence results including weak law of large numbers, strong law of large numbers, complete convergence, and complete moment convergence for weighted sums of coordinatewise asymptotically negatively associated random vectors in Hilbert spaces. These results improve or extend some corresponding ones in the literature.

引用

页数：14

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