RT journal article T1 A method for constructing and interpreting some weighted premium principles A1 Castaño Martínez, Antonia A1 López-Blázquez, Fernando A1 Pigueiras Voces, Gema A1 Sordo Díaz, Miguel Ángel A2 Estadística e Investigación Operativa K1 Weighted premium principle K1 distortion premium principle K1 equilibrium distribution K1 order statistics K1 record value AB We present a method for constructing and interpreting weighted premiumprinciples. The method is based on modifying the underlying risk distributionin such a way that the risk-adjusted expected value (or premium) is greaterthan the expected value of some conveniently chosen function of claims, whichdefines the insurer’s perception of the risk. Under some assumptions on thefunction of claims, the method produces distortion premium principles. Weprovide several examples under different assumptions on the claim arrival processand different functions of claims, including record claims and kth recordclaims. PB Cambridge University Press SN 0515-0361 YR 2020 FD 2020 LK http://hdl.handle.net/10498/33387 UL http://hdl.handle.net/10498/33387 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 10-nov-2026