Estimation of AUC of Mixture ROC Curve in the Presence of Measurement Errors

Receiver Operating Characteristic (ROC) curve is one of the widely used classification tool and its applications can be seen in diversified fields of science and engineering. In this work, we made an attempt to examine the influence of measurement errors on the AUC of a mixture ROC curve. A bias corrected estimator is proposed and derived. The proposed work is supported with real dataset and simulation studies and results show that the proposed bias corrected estimator helps in correcting the AUC with minimum bias and minimum mean square error.