On estimation in spatial functional linear regression model

Bouka, Stephane; Dabo-Niang, Sophie; Nkiet, Guy Martial

Document type :

Pré-publication ou Document de travail

Title :

On estimation in spatial functional linear regression model

Author(s) :

Bouka, Stephane [Auteur]
Faculté des Sciences [Université des Sciences et Techniques de Masuku]
Dabo-Niang, Sophie [Auteur]
MOdel for Data Analysis and Learning [MODAL]
Lille économie management - UMR 9221 [LEM]
Nkiet, Guy Martial [Auteur]
Unité de recherche en mathématiques et informatique [Université des Sciences et Techniques de Masuku] [URMI]

English keyword(s) :

Functional linear régression
spatial functional process
mixing spatial dependence.

HAL domain(s) :

Statistiques [stat]
Mathématiques [math]

English abstract : [en]

In this paper, we consider a spatial functional linear regression, where a scalar response is related to a square integrable spatial functional process. We use a smoothing spline estimator for the functional slope parameter. ...
Show more >In this paper, we consider a spatial functional linear regression, where a scalar response is related to a square integrable spatial functional process. We use a smoothing spline estimator for the functional slope parameter. We establish a finite sample bound for variance of this estimator under mixing spatial dependence. Then, we give a bound of the prediction error. Finally, we illustrate our results by simulations.Show less >

Language :

Anglais

Collections :

Lille Économie Management (LEM) - UMR 9221

Source :

Harvested from HAL

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