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Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/106474
A finite mixture of bivariate Poisson regression models with an application to insurance ratemaking
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Bivariate Poisson regression models for ratemaking in car insurance have been previously used. They included zero-inflated models to account for the excess of zeros and the overdispersion in the data set. These models are now revisited in order to consider alternatives. A 2-finite mixture of bivariate Poisson regression models is used to demonstrate that the overdispersion in the data requires more structure if it is to be taken into account, and that a simple zero-inflated bivariate Poisson model does not suffice. At the same time, it is shown that a finite mixture of bivariate Poisson regression models embraces zero-inflated bivariate Poisson regression models as a special case. Finally, an EM algorithm is provided in order to ensure the models' ease-of-fit. These models are applied to an automobile insurance claims data set and it is shown that the modeling of the data set can be improved considerably.
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BERMÚDEZ, Lluís, KARLIS, Dimitris. A finite mixture of bivariate Poisson regression models with an application to insurance ratemaking. _Computational Statistics & Data Analysis_. 2012. Vol. 56, núm. 12, pàgs. 3988-3999. [consulta: 20 de gener de 2026]. ISSN: 0167-9473. [Disponible a: https://hdl.handle.net/2445/106474]