Publicação
Applying the proportional hazard premium calculation principle
| Resumo: | We 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. |
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| Autores principais: | Centeno, Maria de Lourdes |
| Outros Autores: | Silva, João Andrade e |
| Assunto: | Proportional Hazard Premium Principle Subexponential Distributions Bootstrap Subsampling |
| Ano: | 2005 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade de Lisboa |
| Idioma: | inglês |
| Origem: | Repositório da Universidade de Lisboa |
| Resumo: | We 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. |
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