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
Original Manuscript: June 26, 1998
Revised Manuscript: October 5, 1998
Manuscript Accepted: October 5, 1998
Published: January 1, 1999
Jeffrey H. Shapiro, "Bounds on the area under the ROC curve," J. Opt. Soc. Am. A 16, 53-57 (1999)