Complete f-moment convergence for m-asymptotic negatively associated random variables and related statistical applications

Xuejun Wang, Xi Chen, Tien-Chung Hu and Andrei Volodin

Journal of Nonparametric Statistics, 2024, vol. 36, issue 4, 911-939

Abstract: In this article, the complete f-moment convergence for m-asymptotic negatively associated random variables is investigated. As applications, we establish the strong consistency of the least square estimator in the simple linear errors-in-variables models and the complete consistency for estimator in the semiparametric regression model based on m-asymptotic negatively associated errors. We also give some simulations to assess the finite sample performance of the theoretical results.

Date: 2024
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DOI: 10.1080/10485252.2023.2280004

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