OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 19, Iss. 10 — Oct. 1, 2002
  • pp: 1963–1968

Bounds on the area under the receiver operating characteristic curve for the ideal observer

Eric Clarkson  »View Author Affiliations

JOSA A, Vol. 19, Issue 10, pp. 1963-1968 (2002)

View Full Text Article

Enhanced HTML    Acrobat PDF (154 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A new upper bound is derived on the area under the receiver operating characteristic curve for the ideal observer in a signal-detection task. This upper bound is determined by the values of the likelihood-generating function and its second derivative at the origin. This bound is compared with other bounds on ideal-observer performance that have been derived recently, and it is also shown how this bound leads to some asymptotic results for approximations to ideal-observer performance.

© 2002 Optical Society of America

OCIS Codes
(110.3000) Imaging systems : Image quality assessment
(110.4280) Imaging systems : Noise in imaging systems

Original Manuscript: February 13, 2002
Revised Manuscript: April 23, 2002
Manuscript Accepted: May 7, 2002
Published: October 1, 2002

Eric Clarkson, "Bounds on the area under the receiver operating characteristic curve for the ideal observer," J. Opt. Soc. Am. A 19, 1963-1968 (2002)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. Shapiro, “Bounds on the area under the ROC curve,” J. Opt. Soc. Am. A 16, 53–57 (1999). [CrossRef]
  2. M. V. Burnashev, “On one useful inequality in the testing of hypotheses,” IEEE Trans. Inf. Theory 44, 1668–1670 (1998). [CrossRef]
  3. D. Pastor, R. Gay, A. Gronenboom, “A sharp upper bound for the probability of error of the likelihood ratio test for detecting signals in white Gaussian noise,” IEEE Trans. Inf. Theory 48, 228–238 (2002). [CrossRef]
  4. U. Grenauder, A. Srivastava, M. I. Miller, “Asymptotic performance analysis of Bayesian target recognition,” IEEE Trans. Inf. Theory 46, 1658–1665 (2000). [CrossRef]
  5. H. H. Barrett, C. K. Abbey, 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). [CrossRef]
  6. E. Clarkson, H. H. Barrett, “Approximations to ideal-observer performance on signal-detection tasks,” Appl. Opt. 39, 1783–1793 (2000). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited