no. 11
Statistics/Mathematical Analysis
Rates of convergence for nonparametric deconvolution
[Vitesses de convergence en déconvolution nonparamétrique]

Présenté par : Jean-Pierre Kahane

Lacour, Claire1
1 Laboratoire MAP 5, Université Paris 5, 45, rue des Saints-Pères, 75270 Paris cedex 06, France
Comptes Rendus. Mathématique, Tome 342 (2006) no. 11, pp. 877-882.

Cette Note présente des vitesses de convergence originales pour le problème de déconvolution. On suppose que la densité estimée ainsi que la densité du bruit sont « supersmooth » et on calcule le risque pour deux types d'estimateurs.

This note presents original rates of convergence for the deconvolution problem. We assume that both the estimated density and noise density are supersmooth and we compute the risk for two kinds of estimators.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2006.04.006
Lacour, Claire 1

1 Laboratoire MAP 5, Université Paris 5, 45, rue des Saints-Pères, 75270 Paris cedex 06, France 
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Lacour, Claire. Rates of convergence for nonparametric deconvolution. Comptes Rendus. Mathématique, Tome 342 (2006) no. 11, pp. 877-882. doi : 10.1016/j.crma.2006.04.006. http://archive.numdam.org/articles/10.1016/j.crma.2006.04.006/

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