no. 13-14
Statistics
A strong consistency of a nonparametric estimate of entropy under random censorship
[Loi du logarithme pour un estimateur non paramétrique de l'entropie en présence de données censurées]

Présenté par : Paul Deheuvels

Bouzebda, Salim1 ; Elhattab, Issam1
1 L.S.T.A., Université de Paris 6, 175, rue du Chevaleret, bâtiment A, 75013 Paris, France
Comptes Rendus. Mathématique, Tome 347 (2009) no. 13-14, pp. 821-826.

Dans cette Note, nous obtenons la consistance forte pour un estimateur non paramétrique de l'entropie en présence de données censurées. Nous montrons que ce résultat demeure valable uniformément en terme de la fenêtre.

The purpose of this Note is to provide the rate of strong consistency for a nonparametric estimator of entropy under random censorship. We also establish an uniform-in-bandwidth consistency for this estimator.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2009.04.021
Bouzebda, Salim 1 ; Elhattab, Issam 1

1 L.S.T.A., Université de Paris 6, 175, rue du Chevaleret, bâtiment A, 75013 Paris, France 
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Bouzebda, Salim; Elhattab, Issam. A strong consistency of a nonparametric estimate of entropy under random censorship. Comptes Rendus. Mathématique, Tome 347 (2009) no. 13-14, pp. 821-826. doi : 10.1016/j.crma.2009.04.021. http://www.numdam.org/articles/10.1016/j.crma.2009.04.021/

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