Robust nonparametric equivariant regression for functional data with responses missing at random

Omar Fetitah (), Mohammed Kadi Attouch (), Salah Khardani () and Ali Righi ()
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Omar Fetitah: University of Djillali Liabes
Mohammed Kadi Attouch: University of Djillali Liabes
Salah Khardani: Faculté des Sciences de Tunis El Manar
Ali Righi: University of Djillali Liabes

Metrika: International Journal for Theoretical and Applied Statistics, 2023, vol. 86, issue 8, No 3, 899-929

Abstract: Abstract The paper deal with the robust equivariant nonparametric regression when the covariates are functional and the response variables are missing at random (MAR). Under some mild conditions, the almost complete convergence rate of the proposed estimators for both cases known and unknown scale parameter are established. Some simulations study are drawing, and real data analysis are given to illustrate the higher predictive performances of our proposed method.

Keywords: Robust regression; Missing at random; Scale parameter; Functional data analysis; Almost complete convergence (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s00184-023-00898-1

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