Comptes Rendus
no. 5
Statistics
On estimation in a spatial functional linear regression model with derivatives

Presented by: Paul Deheuvels

Stéphane Bouka1; Sophie Dabo-Niang2, 3; Guy Martial Nkiet1
1 Laboratoire URMI, University of Masuku, Franceville, Gabon
2 Laboratoire LEM, CNRS 9221, University of Lille, France
3 INRIA–MODAL, Lille, France
Comptes Rendus. Mathématique, Volume 356 (2018) no. 5, pp. 558-562.

This paper deals with functional linear regression for spatial data. We study the asymptotic properties of an estimator of a linear model where a spatial scalar response variable is related to a spatial functional explanatory variable and to its derivative. Convergence results with rate of this estimator are derived.

Cet article aborde l'estimation de la régression linéaire fonctionnelle dans un cadre spatial. Nous étudions les propriétés asymptotiques de l'estimateur d'un modèle où une variable réponse réelle est liée à une variable dépendante fonctionnelle et sa dérivée. Nous établissons des résultats de convergence pour cet estimateur, et des vitesses de convergence sont données.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2018.02.013

Stéphane Bouka 1; Sophie Dabo-Niang 2, 3; Guy Martial Nkiet 1

1 Laboratoire URMI, University of Masuku, Franceville, Gabon
2 Laboratoire LEM, CNRS 9221, University of Lille, France
3 INRIA–MODAL, Lille, France 
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Stéphane Bouka; Sophie Dabo-Niang; Guy Martial Nkiet. On estimation in a spatial functional linear regression model with derivatives. Comptes Rendus. Mathématique, Volume 356 (2018) no. 5, pp. 558-562. doi : 10.1016/j.crma.2018.02.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.02.013/

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