Asymptotic Properties of the Robust Regression Estimator by using the Local Linear Method Case of Spatial Functional Data

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Mohammed Abeidallah, Abderrahmane Belguerna, Zeyneb Laala

Abstract

A robust nonparametric local linear estimator will be constructed in this research when the regresses are functional spatial random variables. It is calculated by the combination of the technique M-estimation and local linear idea. The main goal is to generalize the result given in (Ibrahim M. Almanjahie. 2020), and to establish the almost complete convergence with robust of this estimator under an α- mixing assumption.

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