On shape properties of the receiver operating characteristic curve

B Bhattacharya, G Hughes

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


We present formal definitions of two commonly observed asymmetries in a concave receiver operating characteristic curve. The main theorem of the paper proves that the Kullback– Leibler divergences between the underlying signal and noise variables are ordered based on these asymmetries. This result is true for any continuous distributions of the signal and noise variables. © 2015 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)73 - 79
Number of pages7
JournalStatistics and Probability Letters
Publication statusFirst published - 2015

Bibliographical note



  • Asymmetry
  • Entropy
  • Kullback-Leibler divergence
  • ROC
  • Relative distributions


Dive into the research topics of 'On shape properties of the receiver operating characteristic curve'. Together they form a unique fingerprint.

Cite this