Relative error prediction in nonparametric ...
Document type :
Compte-rendu et recension critique d'ouvrage
DOI :
Title :
Relative error prediction in nonparametric deconvolution regression model
Author(s) :
Journal title :
Statistica Neerlandica
Publisher :
Wiley
Publication date :
2018-04-15
ISSN :
0039-0402
HAL domain(s) :
Sciences de l'Homme et Société/Méthodes et statistiques
English abstract : [en]
In this paper, we studied an alternative estimator of the regression function when the covariates are observed with error. It is based on the minimization of the relative mean squared error. We obtain expressions for its ...
Show more >In this paper, we studied an alternative estimator of the regression function when the covariates are observed with error. It is based on the minimization of the relative mean squared error. We obtain expressions for its asymptotic bias and variance together with an asymptotic normality result. Our technique is illustrated on simulation studies. Numerical results suggest that the studied estimator can lead to tangible improvements in prediction over the usual kernel deconvolution regression estimator, particularly in the presence of several outliers in the dataset.Show less >
Show more >In this paper, we studied an alternative estimator of the regression function when the covariates are observed with error. It is based on the minimization of the relative mean squared error. We obtain expressions for its asymptotic bias and variance together with an asymptotic normality result. Our technique is illustrated on simulation studies. Numerical results suggest that the studied estimator can lead to tangible improvements in prediction over the usual kernel deconvolution regression estimator, particularly in the presence of several outliers in the dataset.Show less >
Language :
Anglais
Popular science :
Non
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