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Using Adjacent-category Logits Procedure for Estimating Receiver Operating Characteristic Surface
Authors:Arnaud D. Nze Ossima  Mohamed C. Belkacemi  Jean-Pierre Daurès
Affiliation:Laboratoire de Biostatistiques, épidémiologie, et Santé Publique, Institut Universitaire de Recherche Clinique, Université de Montpellier 1, Montpellier, France
Abstract:This article presents a semiparametric method for estimating receiver operating characteristic surface under density ratio model. The construction of the proposed method is based on the adjacent-category logit model and the empirical likelihood approach. A bootstrap approach for the VUS estimator inference is presented. In a simulation study, the proposed estimator is compared with the existing parametric and nonparametric estimators in terms of bias, standard error, and mean square error. Finally, a real data example and some discussions on the proposed method are provided.
Keywords:Adjacent-category logistic model  Density ratio model  ROC surface  Semiparametric likelihood
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