Boundary modified kernel estimator for the ROC curve

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Mombeni Habiballah; Mansouri Behzad; Akhoond Mohammad Reza

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Journal Paper

Paper Information

Journal: JOURNAL OF STATISTICAL MODELLING: THEORY AND APPLICATIONS Year:2024 | Volume:5 | Issue:1 Page(s): 203-215

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Information Journal Paper

Title

Boundary modified kernel estimator for the ROC curve

Author(s)

Mombeni Habiballah | Mansouri Behzad | Akhoond Mohammad Reza | Issue Writer Certificate

Keywords

Boundary effects

‎Distribution function

‎Kernel-type estimator

‎Receiver operating characteristic curve

Abstract

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.

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