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

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Statistics in Transition New Series

Polish Statistical Association

Central Statistical Office of Poland

Subject: Economics , Statistics & Probability

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ISSN: 1234-7655
eISSN: 2450-0291

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VOLUME 18 , ISSUE 1 (March 2017) > List of articles

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

Anna Szymańska *

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

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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.

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