Uniform in bandwidth consistency of the kernel-type estimator of the Shannon's entropy

Salim Bouzebda; Issam Elhattab

doi:10.1016/j.crma.2009.12.007

Statistics

Uniform in bandwidth consistency of the kernel-type estimator of the Shannon's entropy
[Loi du logarithme uniforme pour un estimateur non paramétrique de l'entropie de Shannon]

Présenté par : Paul Deheuvels

Salim Bouzebda ¹ ; Issam Elhattab ¹

¹ L.S.T.A., Université Pierre et Marie Curie-Paris 6, 175, rue du Chevaleret, 8

Comptes Rendus. Mathématique, Volume 348 (2010) no. 5-6, pp. 317-321.

Résumé
Abstract

Dans cette Note, nous obtenons la consistance uniforme en terme de la fenêtre pour l'estimateur non paramétrique de l'entropie. Nos arguments de démonstration sont basés sur les résultats obtenus par Einmahl et Mason (2005) [10].

We establish uniform-in-bandwidth consistency for kernel-type estimators of the differential entropy. Our proofs rely on the methods of Einmahl and Mason (2005) [10].

Reçu le : 2008-07-22
Accepté le : 2009-12-02
Publié le : 2010-02-25

DOI : 10.1016/j.crma.2009.12.007

Affiliations des auteurs :

Salim Bouzebda ¹ ; Issam Elhattab ¹

¹ L.S.T.A., Université Pierre et Marie Curie-Paris 6, 175, rue du Chevaleret, 8

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     title = {Uniform in bandwidth consistency of the kernel-type estimator of the {Shannon's} entropy},
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Salim Bouzebda; Issam Elhattab. Uniform in bandwidth consistency of the kernel-type estimator of the Shannon's entropy. Comptes Rendus. Mathématique, Volume 348 (2010) no. 5-6, pp. 317-321. doi : 10.1016/j.crma.2009.12.007. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.12.007/

Bibliographie
Cité par

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Cité par 13 documents. Sources : Crossref, zbMATH

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