Estimation locale linéaire de la régression non paramétrique fonctionnelle par la méthode des k plus proches voisins

Abstract

We consider the problem of the local linear estimation of the regression operator when the regressor is functional. We construct an estimator by the kNN method and we study its asymptotic properties. Precisely, we establish the almost complete consistency of this estimator with rate both pointwise and uniform on the number of neighbor cases.