Open Access

ARTICLE

The k Nearest Neighbors Estimator of the M-Regression in Functional Statistics

Ahmed Bachir^{1, *}, Ibrahim Mufrah Almanjahie^{1, 2}, Mohammed Kadi Attouch³

1 Department of Mathematics, College of Science, King Khalid University, Abha, 62529, Saudi Arabia.
2 Statistical Research and Studies Support Unit, King Khalid University, Abha, 62529, Saudi Arabia.
3 Djillali Liabes University, Sidi Belabbes, 22000, Algeria.

* Corresponding Authors: Ahmed Bachir. Email: ; .

Computers, Materials & Continua 2020, 65(3), 2049-2064. https://doi.org/10.32604/cmc.2020.011491

Received 11 May 2020; Accepted 19 August 2020; Issue published 16 September 2020

Abstract

It is well known that the nonparametric estimation of the regression function is highly sensitive to the presence of even a small proportion of outliers in the data. To solve the problem of typical observations when the covariates of the nonparametric component are functional, the robust estimates for the regression parameter and regression operator are introduced. The main propose of the paper is to consider data-driven methods of selecting the number of neighbors in order to make the proposed processes fully automatic. We use the

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Citations