Number of Accidents or Number of Claims ? An Approach with Zero-Inflated Poisson Models for Panel Data

P>The hunger for bonus is a well-known phenomenon in insurance, meaning that the insured does not report all of his accidents to save bonus on his next year's premium. In this article, we assume that the number of accidents is based on a Poisson distribution but that the number of claims is generated by censorship of this Poisson distribution. Then, we present new models for panel count data based on the zero-inflated Poisson distribution. From the claims distributions, we propose an approximation of the accident distribution, which can provide insight into the behavior of insureds. A numerical illustration based on the reported claims of a Spanish insurance company is included to support this discussion.

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Type de document	Article de périodique (Journal article) – Article de recherche
Année de publication	2009
Langue	Anglais
Information sur le périodique	"Journal of Risk and Insurance" - Vol. 76, no. 4, p. 821-846 (2009)
Peer reviewed	oui
Editeur	Wiley-blackwell Publishing, Inc (Malden)
issn	0022-4367
e-issn	1539-6975
Statut de la publication	Publié
Affiliations	UCL
Liens	https://doi.org/10.1111/j.1539-6975.2009.01321.x[DOI] http://hdl.handle.net/2078.1/36008[Handle]

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See also
	[boreal:115667]	Zero-inflated Poisson models for panel data