Publications
Statistics in Transition New Series
Polish Statistical Association
Central Statistical Office of Poland
Subject: Economics , Statistics & Probability
ISSN: 1234-7655
eISSN: 2450-0291
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THE APPLICATION OF BŰHLMANN-STRAUB MODEL TO THE ESTIMATION OF NET PREMIUM RATES DEPENDING ON THE AGE OF THE INSURED IN THE MOTOR THIRD LIABILITY INSURANCE
Keywords : a posteriori ratemaking, credibility theory, premium for a group of insurance contracts, motor third liability insurance
Citation Information : Statistics in Transition New Series. Volume 18, Issue 1, Pages 151-165, DOI: https://doi.org/10.21307/stattrans-2016-063
License : (CC BY 4.0)
Published Online: 03-July-2017
- ARTICLE
- FIGURES & TABLES
- REFERENCES
- EXTRA FILES
- COMMENTS
ARTICLE
ABSTRACT
One of the basic variables used in the process of tariff calculation of premiums in motor 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 third liability insurance portfolio of individuals created by the age of the insured. For the premium estimation, one of the maximum likelihood models, called the Bűhlmann-Straub model, was used.
FIGURES & TABLES
REFERENCES
- BÜHLMANN, H., (1967). Experience Rating and Credibility, ASTIN Bulletin, 4 (3), pp. 199–207.
[CROSSREF] - BÜHLMANN, H., STRAUB, E., (1970). Glaubwürdigkeit für Schadensätze, Mitteilungen der Vereiningung scheizerischer Vesicherungsmathematiker, 1970, pp. 111–133.
[CROSSREF] - DAYKIN, C. D., PENTIÄINEN, T., PESONEN, M., (1994). Practical Risk Theory for Actuaries, Chapman & Hall, London.
[CROSSREF] - DENUIT, M., MARECHAL, X., PITREBOIS, S., WALHIN, J. F., (2007). Actuarial Modelling of Claim Counts. Risk classification, Credibility and Bonus-Malus Systems, J. Wiley & Sons, England.
[CROSSREF] - JASIULEWICZ, H., (2005). Teoria zaufania. Modele aktuarialne, Wydawnictwo AE im. Oskara Langego we Wrocławiu, Wrocław.
- KAAS, R., GOOVAERTS, M., DHAENE, J., DENUIT, M., (2001). Modern Actuarial Risk Theory, Kluwer, Boston.
[CROSSREF] - KRZYŚKO, M., (1996). Statystyka Matematyczna, Wydawnictwo Naukowe UAM, Poznań.
- KOWALCZYK, P., POPRAWSKA, E., RONKA-CHMIELOWIEC, W., (2006). Metody aktuarialne, PWN, Warszawa.
[CROSSREF] - LEMAIRE, J., (1995). Bonus-Malus Systems in Automobile Insurance, Kluwer, Boston.
[CROSSREF] - OSTASIEWICZ, W., (red.), (2000). Modele Aktuarialne, Wydawnictwo Akademii Ekonomicznej im. O. Langego we Wrocławiu, Wrocław.
- SZYMAŃSKA, A., (2014). Statystyczna analiza systemów bonus-malus w ubezpieczeniach komunikacyjnych, Wydawnictwo UŁ, Łódź.