A Bernstein polynomial approach of the robust regression

A Bernstein polynomial approach of the robust regression

This paper proposes a new family of robust non-parametric estimators for regression functions by applying polynomials to construct a robust regression estimator. Theoretical results and tests on simulated and real data sets validate the efficiency and practicality of the approach. Moreover, some of...

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Bibliographic Details
Main Authors: Sihem Semmar, Omar Fetitah, Mohammed Kadi Attouch, Salah Khardani, Ibrahim M. Almanjahie
Format: Article
Language:English
Published: AIMS Press 2024-11-01
Series:AIMS Mathematics
Subjects:
nonparametric regression
bernstein polynomial
robust estimation
asymptotic normality
nadaraya-watson estimators
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241554?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20241554?viewType=HTML

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