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Symmetry of receiver operating characteristic curves and Kullback–Leibler divergences between the signal and noise populations |
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| Authors: | Bhaskar Bhattacharya Gareth Hughes |
| Affiliation: | aDepartment of Mathematics, Southern Illinois University, Carbondale, IL 62901-4408, USA;bSAC, The King’s Buildings, West Mains Road, Edinburgh, EH9 3JG, UK |
| Abstract: | It is shown that the symmetry of the receiver operating characteristic curve implies that the Kullback–Leibler divergences between the signal and noise populations are equal when the arguments are interchanged. |
| Keywords: | ROC Symmetry Kullback&ndash Leibler divergence |
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