The Application of Bühlmann-Straub Model to the Estimation of Net Premium Rates Depending on the Age of the Insured in the Motor Hull Liability Insurance
DOI:
https://doi.org/10.18778/0208-6018.322.10Keywords:
a posteriori ratemaking, credibility theory, motor hull liability insuranceAbstract
One of the basic variables used in the process of tariff calculation of premiums in motor hull liability insurance is the age of the insured. In this type of insurance offered by insurers operating on the Polish market, this variable is taken into account in the ratemaking by discounts and increases in assigned premium, known as the net premiums rates. The aim of this work is to propose a method of rate estimation of net premiums in the groups of the motor hull liability insurance portfolio of individuals created by the age of the insured. For the premium estimation one of the maximum likelihood models, called the Bühlmann-Straub model was used.Downloads
References
Antonio K., Valdez E. (2012), Statistical concepts of a priori and a posteriori classification in insurance, “AStA Adv Stat Anal” 96, pp. 187–224.
Google Scholar
Bühlmann H. (1967), Experience Rating and Credibility, “ASTIN Bulletin” 4 (3), pp. 199–207.
Google Scholar
Bühlmann H., Straub E. (1970), Glaubwürdigkeit für Schadensätze, “Mitteilungen der Vereiningung scheizerischer Vesicherungsmathematiker”, pp. 111–133.
Google Scholar
Daykin C.D., Pentiäinen T., Pesonen M. (1994), Practical Risk Theory for Actuaries, Chapman & Hall, London.
Google Scholar
Denuit M., Marechal X., Pitrebois S., Walhin J.F. (2007), Actuarial Modelling of Claim Counts. Risk classification, Credability and Bonus-Malus Systems, J. Wiley & Sons, England.
Google Scholar
Jasiulewicz H. (2005), Teoria zaufania. Modele aktuarialne, Wyd. AE im. Oskara Langego we Wrocławiu, Wrocław.
Google Scholar
Kaas R., Goovaerts M., Dhaene J., Denuit M. (2001), Modern Actuarial Risk Theory, Kluwer, Boston.
Google Scholar
Krzyśko M. (1996), Statystyka Matematyczna, Wyd. Naukowe UAM, Poznań.
Google Scholar
Kowalczyk P., Poprawska E., Ronka-Chmielowiec W. (2006), Metody aktuarialne, PWN, Warszawa.
Google Scholar
Lemaire J. (1995), Bonus-Malus Systems in Automobile Insurance, Kluwer, Boston.
Google Scholar
Szymańska A. (2014), Statystyczna analiza systemów bonus-malus w ubezpieczeniach komunikacyjnych, Wyd. UŁ, Łódź.
Google Scholar
Downloads
Published
How to Cite
Issue
Section
