Upper and lower bounds are derived for the area under the receiver-operatin
g-characteristic (ROC) curve of binary hypothesis testing. These results ar
e compared with the;area-under-the-curve (AUC) approximation and the AUC lo
wer bound recently reported by Barrett ct al. [J. Opt. Sec. Am A 15, 1520 (
1998)]. (C) 1999 Optical Society of America [S0740-3232(99)01901-8].