Relative error prediction in nonparametric ...
Type de document :
Compte-rendu et recension critique d'ouvrage
DOI :
Titre :
Relative error prediction in nonparametric deconvolution regression model
Auteur(s) :
Titre de la revue :
Statistica Neerlandica
Éditeur :
Wiley
Date de publication :
2018-04-15
ISSN :
0039-0402
Discipline(s) HAL :
Sciences de l'Homme et Société/Méthodes et statistiques
Résumé en anglais : [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 ...
Lire la suite >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.Lire moins >
Lire la suite >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.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Collections :
Source :