Consistency of the k-Nearest Neighbor Classifier for Spatially Dependent Data - INRAE - Institut national de recherche pour l’agriculture, l’alimentation et l’environnement Accéder directement au contenu
Article Dans Une Revue Communications in Mathematics and Statistics Année : 2022

Consistency of the k-Nearest Neighbor Classifier for Spatially Dependent Data

Résumé

The purpose of this paper is to investigate the k-nearest neighbor classification rule for spatially dependent data. Some spatial mixing conditions are considered, and under such spatial structures, the well known k-nearest neighbor rule is suggested to classify spatial data. We established consistency and strong consistency of the classifier under mild assumptions. Our main results extend the consistency result in the i.i.d. case to the spatial case.
Fichier principal
Vignette du fichier
2022-Younso-manuscript.pdf (1.28 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03789550 , version 1 (27-09-2022)

Licence

Paternité

Identifiants

Citer

Ahmad Younso, Ziad Kanaya, Nour Azhari. Consistency of the k-Nearest Neighbor Classifier for Spatially Dependent Data. Communications in Mathematics and Statistics, In press, 11 (3), pp.503-518. ⟨10.1007/s40304-021-00261-8⟩. ⟨hal-03789550⟩
27 Consultations
72 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More