Comptes Rendus
Statistiques
Consistency of the k-nearest neighbors rule for functional data
[Consistance de la règle des k-plus proches voisins pour des données fonctionnelles]
Ahmad Younso1, 2
1 MISTEA, Université Montpellier, INRAE, Institut Agro,Montpellier, France
2 Department of mathematical statistics, Damascus university, Damascus, Syria
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 237-242.

Le problème de la classification non paramétrique par la règle des k- plus proches voisins dans un espace métrique général sera considéré. La consistance et la forte consistance du classifieur seront établies sous des conditions légères.

The problem of nonparametric classification by k-nearest neighbors rule in a general metric space will be considered. Consistency and strong consistency of the classifier will be established under mild conditions.

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DOI : 10.5802/crmath.402
Classification : 00X99
Ahmad Younso 1, 2

1 MISTEA, Université Montpellier, INRAE, Institut Agro,Montpellier, France
2 Department of mathematical statistics, Damascus university, Damascus, Syria
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Consistency of the $k$-nearest neighbors rule for functional data},
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Ahmad Younso. Consistency of the $k$-nearest neighbors rule for functional data. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 237-242. doi : 10.5802/crmath.402. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.402/

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