On the robustification of the kernel estimator of the functional modal regression

Azzi Amel, Laksaci Ali and Ould Saïd Elias

Statistics & Probability Letters, 2022, vol. 181, issue C

Abstract: A new nonparametric estimator of the conditional mode when the regressors are functionals is proposed. The main aim of this paper is to establish the almost complete convergence (with rate) of the constructed estimator is estimate under general assumptions in nonparametric functional statistics. A simulation study is carried out to examine, illustrate, the finite samples behavior of the constructed estimator. Finally, a discussion highlighting the impact of this new estimator in nonparametric functional data analysis is also given.

Keywords: Conditional mode estimate; Functional statistics; Quantile regression; Robust estimator (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1016/j.spl.2021.109256

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