1999•Journal of the Optical Society of America ARequires access

Bounds on the area under the ROC curve

Jeffrey H. Shapiro

Open publisher page 27 citations

Abstract

Upper and lower bounds are derived for the area under the receiver-operating-characteristic (ROC) curve of binary hypothesis testing. These results are compared with the area-under-the-curve (AUC) approximation and the AUC lower bound recently reported by Barrett et al. [J. Opt. Soc. Am A15, 1520 (1998)].

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What this paper is about

Upper and lower bounds are derived for the area under the receiver-operating-characteristic (ROC) curve of binary hypothesis testing. These results are compared with the area-under-the-curve (AUC) approximation and the AUC lower bound recently reported by Barrett et al. [J. Opt. Soc. Am A15, 1520 (1998)].

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Available abstract

Upper and lower bounds are derived for the area under the receiver-operating-characteristic (ROC) curve of binary hypothesis testing. These results are compared with the area-under-the-curve (AUC) approximation and the AUC lower bound recently reported by Barrett et al. [J. Opt. Soc. Am A15, 1520 (1998)].

Key concepts: Receiver operating characteristic, Area under curve, Upper and lower bounds, Area under the curve, Mathematics, Binary number, Growth curve (statistics), Statistics

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