On the robustification of the kernel estimator of the functional modal regression - Archive ouverte HAL Access content directly
Journal Articles Statistics and Probability Letters Year : 2022

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

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.

Dates and versions

hal-04412536 , version 1 (23-01-2024)

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Azzi Amel, Laksaci Ali, Ould Saïd Elias. On the robustification of the kernel estimator of the functional modal regression. Statistics and Probability Letters, 2022, 181, pp.109256. ⟨10.1016/j.spl.2021.109256⟩. ⟨hal-04412536⟩
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