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

IF 1 4区数学 Q1 MATHEMATICS

Open Mathematics Pub Date : 2023-01-01 DOI:10.1515/math-2022-0556

Qihui He, Lin Pan

引用次数: 0

Abstract

Abstract 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.

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希尔伯特空间中坐标渐近负相关随机向量的收敛性质

摘要本文研究了Hilbert空间中坐标渐近负相关随机向量加权和的弱大数律、强大数律、完全收敛和完全矩收敛的一些收敛结果。这些结果改进或扩展了文献中一些相应的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Open Mathematics MATHEMATICS-

CiteScore

2.40

自引率

5.90%

发文量

审稿时长

16 weeks

期刊介绍： Open Mathematics - formerly Central European Journal of Mathematics Open Mathematics is a fully peer-reviewed, open access, electronic journal that publishes significant, original and relevant works in all areas of mathematics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Open Mathematics is listed in Thomson Reuters - Current Contents/Physical, Chemical and Earth Sciences. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind. Aims and Scope The journal aims at presenting high-impact and relevant research on topics across the full span of mathematics. Coverage includes: