000098098 001 __ 98098
000098098 005 __20141007063538.0
000098098 024 8_ $9 primocentral $9 driver $a oai:ddd.uab.cat:98098
000098098 035 __ $a oai:www.recercat.cat:2072/152176
000098098 041 __ $a eng
000098098 080 __ $a 311
000098098 080 __ $a 33
000098098 100 1_ $a Bermúdez, Lluís
000098098 245 10 $a Mixture of bivariate Poisson regression models with an application to insurance
000098098 260 __ $b Xarxa de Referència en Economia Aplicada (XREAP) $c 2011
000098098 300 __ $a 34 p.
000098098 520 __ $a 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.
000098098 540 __ $a 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 $u http://creativecommons.org/licenses/by-nc-nd/2.5/es/
000098098 546 __ $a Anglès.
000098098 650 _4 $a Automobile insurance
000098098 650 _4 $a Regression analysis
000098098 653 __ $a Assegurances d'automòbils
000098098 653 __ $a Anàlisi de regressió
000098098 655 _4 $a info:eu-repo/semantics/workingPaper
000098098 700 1_ $a Karlis, Dimitris
000098098 710 1_ $a Xarxa de Referència en Economia Aplicada (XREAP)
000098098 762 18 $w hdl_2072_13171
000098098 830 __ $a XREAP ; $v 2011-10
000098098 856 40 $p 34 $s 460841 $u http://ddd.uab.cat/pub/estudis/2011/hdl_2072_152176/XREAP2011-10.pdf
000098098 856 42 $3 Adreça alternativa $u http://hdl.handle.net/2072/152176
000098098 980 __ $a ESTUDIS $b UAB