Limit behaviors of the estimator of non parametric regression model based on extended negatively dependent errors

Shuili Zhang, Cong Qu and Tiantian Hou

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 24, 8712-8724

Abstract: In this article, we study the complete consistency for the estimator of non parametric regression model based on extended negatively dependent errors, and obtain the convergence rates of the complete consistency by using the inequalities for extended negatively dependent random variables. As an application, the complete consistency and convergence rate for the nearest neighbor estimator are obtained. Finally, some simulations are illustrated.

Date: 2023
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DOI: 10.1080/03610926.2022.2069263

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