The distortion principle for insurance pricing: properties, identification and robustness
Risk Management
2018-09-19 v1 Other Statistics
Abstract
Distortion (Denneberg 1990) is a well known premium calculation principle for insurance contracts. In this paper, we study sensitivity properties of distortion functionals w.r.t. the assumptions for risk aversion as well as robustness w.r.t. ambiguity of the loss distribution. Ambiguity is measured by the Wasserstein distance. We study variances of distances for probability models and identify some worst case distributions. In addition to the direct problem we also investigate the inverse problem, that is how to identify the distortion density on the basis of observations of insurance premia.
Keywords
Cite
@article{arxiv.1809.06592,
title = {The distortion principle for insurance pricing: properties, identification and robustness},
author = {Daniela Escobar and Georg Pflug},
journal= {arXiv preprint arXiv:1809.06592},
year = {2018}
}