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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/106603
A posteriori ratemaking using bivariate Poisson models
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Recently, different bivariate Poisson regression models have been used in the actuarial literature to make an a priori ratemaking taking into account the dependence between two types of claims. A natural extension for these models is to consider a posteriori ratemaking (i.e. experience rating models) that also relaxes the independence assumption. We introduce here two bivariate experience rating models that integrate the a priori ratemaking based on the bivariate Poisson regression models, extending the existing literature for the univariate case to the bivariate case. These bivariate experience rating models are applied to an automobile insurance claims data-set to analyse the consequences for posterior premiums when the independence assumption is relaxed. The main finding is that the a posteriori risk factors obtained with the bivariate experience rating models are significantly lower than those factors derived under the independence assumption.
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BERMÚDEZ, Lluís and KARLIS, Dimitris. A posteriori ratemaking using bivariate Poisson models. Scandinavian Actuarial Journal. 2017. Vol. 2017, num. 2, pags. 148-158. ISSN 0346-1238. [consulted: 6 of October of 2026]. Available at: https://hdl.handle.net/2445/106603