no. 5-6
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

Bouzebda, Salim1 ; Elhattab, Issam1
1 L.S.T.A., Université Pierre et Marie Curie-Paris 6, 175, rue du Chevaleret, 8
Comptes Rendus. Mathématique, Tome 348 (2010) no. 5-6, pp. 317-321.

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 :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2009.12.007
Bouzebda, Salim 1 ; Elhattab, Issam 1

1 L.S.T.A., Université Pierre et Marie Curie-Paris 6, 175, rue du Chevaleret, 8 
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Bouzebda, Salim; Elhattab, Issam. Uniform in bandwidth consistency of the kernel-type estimator of the Shannon's entropy. Comptes Rendus. Mathématique, Tome 348 (2010) no. 5-6, pp. 317-321. doi : 10.1016/j.crma.2009.12.007. http://www.numdam.org/articles/10.1016/j.crma.2009.12.007/

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