Bounds on the area under the receiver operating characteristic curve for the ideal observer |
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Authors: | Clarkson Eric |
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Affiliation: | Department of Radiology and Optical Sciences Center, University of Arizona, Tucson, 85724-5067, USA. clarkson@radiology.Arizona.edu |
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Abstract: | 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. |
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