The distortion principle for insurance pricing: properties, identification and robustness

Debora Daniela Escobar, Georg Pflug

Veröffentlichungen: Beitrag in FachzeitschriftArtikelPeer Reviewed

Abstract

Distortion (Denneberg in ASTIN Bull 20(2):181-190,1990) 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.

OriginalspracheEnglisch
Seiten (von - bis)771-794
Seitenumfang24
FachzeitschriftAnnals of Operations Research
Jahrgang292
Ausgabenummer10
DOIs
PublikationsstatusVeröffentlicht - Sep. 2020

ÖFOS 2012

  • 101023 Versicherungsmathematik
  • 101015 Operations Research

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