RT journal article T1 A family of premium principles based on mixtures of TVaRs A1 Castaño Martínez, Antonia A1 Pigueiras Voces, Gema A1 Sordo Díaz, Miguel Ángel A2 Estadística e Investigación Operativa K1 premium principle K1 risk measure K1 order statistics K1 distortion function. AB Risk-adjusted distributions are commonly used in actuarial science tode ne premium principles. In this paper, we claim that an appropriaterisk-adjusted distribution, besides of satisfying other desirable properties,should be well-behaved under conditioning with respect to theoriginal risk distribution. Based on a sequence of such risk-adjusteddistributions, we introduce a family of premium principles that graduallyincorporate the degree of risk-aversion of the insurer in the safetyloading. Members of this family are particular distortion premium principlesthan can be represented as mixtures of TVaRs, where the weightsin the mixture reect the attitude toward risk of the insurer. We makea systematic study of this family of premium principles. PB ELSEVIER SN 0167-6687 YR 2016 FD 2016 LK http://hdl.handle.net/10498/33441 UL http://hdl.handle.net/10498/33441 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 06-nov-2026