On consistency of the weighted estimator in nonparametric regression model with asymptotically almost negatively associated random variables

Liwang Ding and Ping Chen

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 20, 7120-7135

Abstract: This paper is concerned with the consistency of nonparametric regression model. For the weighted estimator of unknown regression function, the strong consistency, the complete consistency and the convergence rate of the complete consistency are investigated under some mild conditions. These results extend or improve the corresponding ones of Yang et al. (2018) for extended negatively dependent (END, for short) random variables to asymptotically almost negatively associated random variables. Also, the simulation study of the finite samples provided in this paper shows the validity of our results.

Date: 2022
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DOI: 10.1080/03610926.2020.1871018

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