Centeno, Maria de LourdesSilva, João Andrade e2023-04-112023-04-112005Centeno, Maria de Lourdes and João Andrade e Silva .(2005). “Applying the proportional hazard premium calculation principle”. Astin Bulletin, Vol. 35, No. 2 : pp. 409-425http://hdl.handle.net/10400.5/27612We discuss the application of the proportional hazard premium calculation principle in the parametric and non parametric framework. In the parametric approach, we propose a method to calculate the premium of a compound risk when the severity distribution is subexponential. In the non parametric approach, the use of the empirical distribution to calculate the premium using the proportional hazard principle leads to a systematic underestimation of the premium. After studying the bias of the premium calculated using this non-parametric approach we use the bootstrap technique with subsampling to reduce it.engProportional Hazard Premium PrincipleSubexponential DistributionsBootstrapSubsamplingjournal article