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) - Amsterdam School of Economics Research Institute (ASE-RI)
  • Faculty of Economics and Business (FEB)
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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