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Weak consistency for the nonparametric kernel regression estimator based on negatively associated random errors

Lu Zhang, Rui Wang, Min Wang and Xuejun Wang

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 10, 3581-3598

Abstract: In this article, we mainly study the weak consistency for the Gasser and Müller (G-M) kernel estimator (a weighted kernel estimator with integral form) in a nonparametric regression model based on negatively associated random errors under some suitable conditions. In addition, a simulation to study the numerical performance of the consistency for the G-M estimator is provided.

Date: 2024
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DOI: 10.1080/03610926.2022.2158342

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