Nonparametric recursive density estimation for spatial data

Aboubacar Amiri; Sophie Dabo-Niang; Mohamed Yahaya

doi:10.1016/j.crma.2015.10.010

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Nonparametric recursive density estimation for spatial data
[Estimation nonparamétrique récursive de la densité pour données spatiales]

Présenté par : the Editorial Board

Aboubacar Amiri ¹ ; Sophie Dabo-Niang ^1,² ; Mohamed Yahaya ^1,³

¹ Université Lille 3, Laboratoire LEM CNRS 9221, France
² INRIA-MODAL Team, France
³ FST, Université des Comores, Comoros

Comptes Rendus. Mathématique, Volume 354 (2016) no. 2, pp. 205-210.

Résumé
Abstract

Ce papier traite de l'estimation de la densité spatiale dans le cas récursif. Nous étudions les propiétés asymptotiques d'une nouvelle version de l'estimateur de Parzen–Rozenblatt. Nous établissons les convergences en moyenne quadratique et presque sûre de cet estimateur ; des vitesses de convergence sont données.

This paper deals with non-parametric density estimation for spatial data. We study the asymptotic properties of a new recursive version of the Parzen–Rozenblatt estimator. The mean square error and an almost sure convergence result with rate of such estimator are derived.

Reçu le : 2014-02-26
Accepté le : 2015-10-18
Publié le : 2015-12-23

DOI : 10.1016/j.crma.2015.10.010

Affiliations des auteurs :

Aboubacar Amiri ¹ ; Sophie Dabo-Niang ^{1, 2} ; Mohamed Yahaya ^{1, 3}

¹ Université Lille 3, Laboratoire LEM CNRS 9221, France
² INRIA-MODAL Team, France
³ FST, Université des Comores, Comoros

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     title = {Nonparametric recursive density estimation for spatial data},
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     pages = {205--210},
     publisher = {Elsevier},
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     number = {2},
     year = {2016},
     doi = {10.1016/j.crma.2015.10.010},
     language = {en},
}

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Aboubacar Amiri; Sophie Dabo-Niang; Mohamed Yahaya. Nonparametric recursive density estimation for spatial data. Comptes Rendus. Mathématique, Volume 354 (2016) no. 2, pp. 205-210. doi : 10.1016/j.crma.2015.10.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.10.010/

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