This paper provides a uni¯ed statistical framework for the analysis of distortion riskmeasures (DRM) and of their sensitivities with respect to parameters representing riskaversion and/or pessimism. We derive the general formula for calculating the functionalasymptotic distribution of the...

We introduce nonparametric estimators of the sensitivity of distortion risk measure with re-spect to portfolio allocation. These estimators are used to derive the estimated e±cient portfolioallocations when distortion risk measures de¯ne the constraints and the objectives, to study...