Complete moment convergence of weighted sums for asymptotically negatively associated random variables

In this study, the authors consider the complete moment convergence for weighted sums of asymptotically negatively associated (ANA) random variables without making any assumptions of the distributions. Some equivalent conditions of the complete moment convergence for the maximum weighted form of ANA random variables are established. The main results extend and improve the related studies in the literature.

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Journal
Communication in Statistics- Theory and Methods
Published
2024-11-19
DOI
https://doi.org/10.1080/03610926.2024.2417816
Primary Topic
Probability and Risk Models
Type
article
Field-Weighted Citation Impact
0.00

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article

Complete moment convergence of weighted sums for asymptotically negatively associated random variables

Hongguo Zeng, Yuan Yuan, Haiwu Huang, Yonghong Liu
Communication in Statistics- Theory and Methods
Probability and Risk Models
article

Complete moment convergence of weighted sums for asymptotically negatively associated random variables

Hongguo Zeng, Yuan Yuan, Haiwu Huang, Yonghong Liu
article en

Abstract

In this study, the authors consider the complete moment convergence for weighted sums of asymptotically negatively associated (ANA) random variables without making any assumptions of the distributions. Some equivalent conditions of the complete moment convergence for the maximum weighted form of ANA random variables are established. The main results extend and improve the related studies in the literature.

Communication in Statistics- Theory and MethodsVol. 54(14)
Guilin University of Aerospace Technology (CN), Guilin University of Technology (CN), Guilin University of Electronic Technology (CN)
National Natural Science Foundation of China
Reduced inequalities
Openalex Percentile: Top 75%
Probability and Risk Models
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