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Measuring single-period risk

In: Modeling, Measuring And Managing Risk

Author

Listed:
  • Georg Ch PfIug

    (University of Vienna, Austria)

  • Werner Römisch

    (Humboldt-University Berlin, Germany)

Abstract

The following sections are included:Probability functionals and their propertiesProperties of probability functionalsVersion-independent properties of probability functionalsAcceptability functionals and deviation risk functionalsAcceptance sets for translation-equivariant functionalsDual representations of concave and convex functionalsThe average value-at-riskKusuoka representationsConditional acceptability and risk mappingsVersion independent conditional acceptability mappingsMore about the conditional average value-at-riskClasses of version-independent acceptability-type functionalsExpected utilityDistortion functionalsSup-convolutionsSingle-period polyhedral acceptability functionalsRisk-corrected expectation and mean-risk modelsClasses of version-independent deviation-type functionalsDeviation functionals of the form 𝔼[h(Y – 𝔼Y)]Deviation functionals of the form ‖Y – 𝔼Y ‖hDeviation functionals of the form ‖ [Y – 𝔼Y ]−‖hDeviation functionals of the form 𝔼[h(Y – Y')]Minimal loss risk functionalsSummary

Suggested Citation

  • Georg Ch PfIug & Werner Römisch, 2007. "Measuring single-period risk," World Scientific Book Chapters, in: Modeling, Measuring And Managing Risk, chapter 2, pages 27-114, World Scientific Publishing Co. Pte. Ltd..
  • Handle: RePEc:wsi:wschap:9789812708724_0002
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