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

Haiwu Huang, Hongguo Zeng, Yonghong Liu and Yuan Yuan

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 14, 4257-4273

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.

Date: 2025
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DOI: 10.1080/03610926.2024.2417816

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