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Local linear estimate of the regression operator by the kNN method
Journal article   Peer reviewed

Local linear estimate of the regression operator by the kNN method

Mohammed Attouch, Ali Laksaci and Fatima Rafaa
Comptes rendus. Mathématique, Vol.355(7), pp.824-829
01/07/2017
DOI: https://doi.org/10.1016/j.crma.2017.05.007

Abstract

Mathematics Physical Sciences Science & Technology
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. (C) 2017 Academie des sciences. Publie par Elsevier Masson SAS. Tous droits reserves.

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