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Bounds on the area under the ROC curve

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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 A 15, 1520 (1998)].

© 1999 Optical Society of America

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