Consistency of the $k$-nearest neighbors rule for functional data

Ahmad Younso

doi:10.5802/crmath.402

Statistics

Consistency of the

k

-nearest neighbors rule for functional data

Ahmad Younso ^1,²

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

Abstract (Original language)
Résumé

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.

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.

Received: 2021-04-20
Accepted: 2022-06-26
Published online: 2023-01-12

DOI: 10.5802/crmath.402

Classification: 00X99

Author's affiliations:

Ahmad Younso ^{1, 2}

¹ MISTEA, Université Montpellier, INRAE, Institut Agro,Montpellier, France
² Department of mathematical statistics, Damascus university, Damascus, Syria

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     author = {Ahmad Younso},
     title = {Consistency of the $k$-nearest neighbors rule for functional data},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {237--242},
     year = {2023},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {361},
     doi = {10.5802/crmath.402},
     language = {en},
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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

References
Cited by

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