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Asymptotic normality of a robust kernel estimator of the regression function for functional ergodic data: Case of an unknown scale parameter
Journal article   Open access  Peer reviewed

Asymptotic normality of a robust kernel estimator of the regression function for functional ergodic data: Case of an unknown scale parameter

Mohammed Kadi Attouch, Zoulikha Kaid and Hayat Louhab
Comptes rendus. Mathématique, Vol.357(5), pp.478-481
01/05/2019
DOI: https://doi.org/10.1016/j.crma.2019.04.010

Abstract

Mathematics Physical Sciences Science & Technology
Under a nonparametric robust regression model, we consider the problem of estimating the score function psi(x) for a fixed x in a functional space and with unknown scale parameter. The principal aim of this work is to establish the asymptotic normality of this estimator for a stationary ergodic process without any use of traditional mixing conditions. (C) 2019 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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https://doi.org/10.1016/j.crma.2019.04.010View
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