Comptes Rendus
Statistique
Plans dʼexpérience pour lʼestimation de la courbe de concentration et de lʼAUC
[Experimental designs for the estimation of the concentration curve and the AUC]
Comptes Rendus. Mathématique, Volume 350 (2012) no. 13-14, pp. 707-710.

The problem of interest is to estimate the concentration curve and the area under the curve (AUC) by estimating the parameters of a linear regression model with autocorrelated error process. We introduce a simple linear nonparametric unbiased estimator of the concentration curve and the AUC. We show that this estimator constructed from an appropriate regular sampling design is asymptotically optimal.

Le problème dʼintérêt est dʼestimer la fonction de concentration et lʼaire sous la courbe (AUC) à travers lʼestimation des paramètres dʼun modèle de régression linéaire avec un processus dʼerreur autocorrélé. On introduit un estimateur linéaire sans biais simple et non paramétrique de la courbe de concentration et de lʼAUC. On montre que cet estimateur construit à partir dʼun plan dʼéchantillonnage régulier approprié est asymptotiquement optimal.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2012.07.013

Mohamad Belouni 1; Karim Benhenni 2

1 Laboratoire Jean-Kuntzmann (UMR CNRS 5224), université Joseph-Fourier, BP 53, 38041 Grenoble cedex 09, France
2 Laboratoire Jean-Kuntzmann (UMR CNRS 5224), université Pierre-Mendes-France, BP 47, 38040 Grenoble cedex 09, France
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Mohamad Belouni; Karim Benhenni. Plans dʼexpérience pour lʼestimation de la courbe de concentration et de lʼAUC. Comptes Rendus. Mathématique, Volume 350 (2012) no. 13-14, pp. 707-710. doi : 10.1016/j.crma.2012.07.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.07.013/

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