Complete convergence for arrays of rowwise mn-extended negatively dependent random variables and its application

Jinyu Zhou, Zongfeng Qi and Jigao Yan

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 3, 757-773

Abstract: In this article, under some proper and sufficient conditions, we gave complete convergence for weighted sums and maximal weighted sums of arrays of rowwise mn-extended negatively dependent (rowwise mn-END) random variables, which is a new dependent structure. In addition, a relationship between {mn,n≥1} and moment condition for convergence is revealed in a sense. The results obtained in the article generalize some corresponding ones for independent and some dependent random variables. As an application, the strong consistency for the weighted estimator in a non parametric regression model is established.

Date: 2025
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DOI: 10.1080/03610926.2024.2321172

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