Rates of convergence for nonparametric deconvolution

Claire Lacour

doi:10.1016/j.crma.2006.04.006

Statistics/Mathematical Analysis

Rates of convergence for nonparametric deconvolution
[Vitesses de convergence en déconvolution nonparamétrique]

Présenté par : Jean-Pierre Kahane

Claire Lacour ¹

¹ Laboratoire MAP 5, Université Paris 5, 45, rue des Saints-Pères, 75270 Paris cedex 06, France

Comptes Rendus. Mathématique, Volume 342 (2006) no. 11, pp. 877-882.

Résumé
Abstract

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 : 2006-03-08
Accepté le : 2006-03-30
Publié le : 2006-05-03

DOI : 10.1016/j.crma.2006.04.006

Affiliations des auteurs :

Claire Lacour ¹

¹ Laboratoire MAP 5, Université Paris 5, 45, rue des Saints-Pères, 75270 Paris cedex 06, France

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     author = {Claire Lacour},
     title = {Rates of convergence for nonparametric deconvolution},
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     pages = {877--882},
     publisher = {Elsevier},
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     number = {11},
     year = {2006},
     doi = {10.1016/j.crma.2006.04.006},
     language = {en},
}

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Claire Lacour. Rates of convergence for nonparametric deconvolution. Comptes Rendus. Mathématique, Volume 342 (2006) no. 11, pp. 877-882. doi : 10.1016/j.crma.2006.04.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.04.006/

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