Distortion risk measures, ROC curves, and distortion divergence

Open Access
Authors
Publication date 18-10-2017
Number of pages 21
Publisher Amsterdam: University of Amsterdam, section Quantitative Economics
Organisations
  • Faculty of Economics and Business (FEB)
  • Faculty of Economics and Business (FEB) - Amsterdam School of Economics Research Institute (ASE-RI)
Abstract Distortion functions are employed to define measures of risk. Receiver operating characteristic (ROC) curves are used to describe the performance of parametrized test families in testing a simple null hypothesis against a simple alternative. This paper provides a connection between distortion functions on the one hand, and ROC curves on the other. This leads to a new interpretation of some well known classes of distortion risk measures, and to a new notion of divergence between probability measures.
Document type Working paper
Language English
Published at https://doi.org/10.2139/ssrn.2956334
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Distortion risk measures (Submitted manuscript)
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