The multivariate Poisson-Generalized Inverse Gaussian claim count regression model with varying dispersion and shape parameters

George Tzougas*, Despoina Makariou

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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Abstract

We introduce a multivariate Poisson-Generalized Inverse Gaussian regression model with varying dispersion and shape for modeling different types of claims and their associated counts in nonlife insurance. The multivariate Poisson-Generalized Inverse Gaussian regression model is a general class of models which, under the approach adopted herein, allows us to account for overdispersion and positive correlation between the claim count responses in a flexible manner. For expository purposes, we consider the bivariate Poisson-Generalized Inverse Gaussian with regression structures on the mean, dispersion, and shape parameters. The model's implementation is demonstrated by using bodily injury and property damage claim count data from a European motor insurer. The parameters of the model are estimated via the Expectation-Maximization algorithm which is computationally tractable and is shown to have a satisfactory performance.

Original languageEnglish
Pages (from-to)401-417
Number of pages17
JournalRisk Management and Insurance Review
Volume25
Issue number4
Early online date17 Oct 2022
DOIs
Publication statusPublished - 2022

ASJC Scopus subject areas

  • Accounting
  • Finance
  • Economics and Econometrics

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