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Comptes Rendus Mathématique
Volume 342, n° 11
pages 877-882 (juin 2006)
Doi : 10.1016/j.crma.2006.04.006
Received : 8 Mars 2006 ;  accepted : 30 Mars 2006
Rates of convergence for nonparametric deconvolution
Vitesses de convergence en déconvolution nonparamétrique
 

Claire Lacour
Laboratoire MAP 5, Université Paris 5, 45, rue des Saints-Pères, 75270 Paris cedex 06, France 

Abstract

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. To cite this article: C. Lacour, C. R. Acad. Sci. Paris, Ser. I 342 (2006).

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Résumé

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 dʼestimateurs. Pour citer cet article : C. Lacour, C. R. Acad. Sci. Paris, Ser. I 342 (2006).

The full text of this article is available in PDF format.


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