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

Presented by: 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.

Abstract
Résumé

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.

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.

Received: 2006-03-08
Accepted: 2006-03-30
Published online: 2006-05-03

DOI: 10.1016/j.crma.2006.04.006

Author's affiliations:

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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     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/

References
Cited by

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