boundary modified kernel estimator for the roc curve

The receiver operating characteristic curve is a simple graphical tool used to assess the accuracy of diagnostics tests‎. ‎pulit (2016) proposed an innovative approach for estimating the receiver operating characteristic curves based on kernel smoothing‎. ‎although his proposed estimator is highly appealing in several aspects‎, ‎it suffers from the well-known boundary bias effect‎. ‎in this paper‎, ‎we highlight this drawback and propose a new modified estimator that uses an appropriate boundary kernel‎. ‎the asymptotic convergence of the proposed estimator at boundary points is demonstrated‎. ‎using both simulated and real data sets‎, ‎we illustrate the performance of the proposed estimator‎. ‎the results show that the proposed estimator outperforms not only the pulit's estimator but also other commonly used estimators‎.