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Local linear M-estimation of the nonparametric regression for dependent functional data

Souheyla Chemikh, Faiza Belarbi

Abstract



This work deals with the prediction problem via the M-regression when the regressors are functional random variables based on the local linear technique. The main purpose of this paper is to study the almost complete convergence (with rate) of the robust local linear estimator of the regression function when the observations are ɑ-mixing under some
topological characteristics of the data.

Keywords


Functional data analysis, Local linear method, Robust estimation, , Almost complete convergence,ɑ-mixing.

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