Bounds on the area under the ROC curve

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 16, Issue 1, 1999, Pages 53-57

  Shapiro, Jeffrey H ^a  

^a USA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001903053     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.16.000053     Document Type: Article

References (6)

1. H. H. Barrett, C. K. Abbey, and E. Clarkson, “Objective assessment of image quality. III. ROC metrics, ideal observers, and likelihood-generating functions,” J. Opt. Soc. Am. A 15, 1520–1535 (1998).
2. H. L. Van Trees, Detection, Estimation, and Modulation Theory, Part I (Wiley, New York, 1968), Sec. 2.6.
3. S. Kotz and N. L. Johnson, eds. in chief, Encyclopedia of Statistical Sciences, Vol. 5 (Wiley, New York, 1985), pp. 176–181.
4. The upper bound in Eq. (8) is the familiar Bhattacharyya bound; see, e.g., H. L. Van Trees, Detection, Estimation, and Modulation Theory, Part I (Wiley, New York, 1968), Sec. 2.7.; the lower bound, which is less well known, is derived in Appendix B.
5. J. H. Shapiro, B. A. Capron, and R. C. Harney, “Imaging and target detection with a heterodyne-reception optical radar,” Appl. Opt. 20, 3292–3313 (1981).
6. H. L. Van Trees, Detection, Estimation, and Modulation Theory, Part I (Wiley, New York, 1968), p. 137.