Use this identifier to quote or link this document: http://hdl.handle.net/2072/152176

Mixture of bivariate Poisson regression models with an application to insurance
Bermúdez, Lluís; Karlis, Dimitris
Xarxa de Referència en Economia Aplicada (XREAP)
In a recent paper Bermúdez [2009] used bivariate Poisson regression models for ratemaking in car insurance, and included zero-inflated models to account for the excess of zeros and the overdispersion in the data set. In the present paper, we revisit this model in order to consider alternatives. We propose a 2-finite mixture of bivariate Poisson regression models 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, we show that a finite mixture of bivariate Poisson regression models embraces zero-inflated bivariate Poisson regression models as a special case. Additionally, we describe a model in which the mixing proportions are dependent on covariates when modelling the way in which each individual belongs to a separate cluster. Finally, an EM algorithm is provided in order to ensure the models’ ease-of-fit. These models are applied to the same automobile insurance claims data set as used in Bermúdez [2009] and it is shown that the modelling of the data set can be improved considerably.
2011-07
Automobile insurance
Regression analysis
311 - Estadística
33 - Economia
Assegurances d'automòbils
Anàlisi de regressió
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i la xarxa i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/)
34 p.
Working Paper
Xarxa de Referència en Economia Aplicada (XREAP)
XREAP; 2011-10
         

Full text files in this document

Files Size Format
XREAP2011-10.pdf 460.8 KB PDF

Show full item record

 

Coordination

 

Supporters