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The Distribution of the Number of Claims in the Third Party’s Motor Liability Insurance

100%
Szymańska A.
Statistics in Transition new series
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2014
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vol. 15
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issue 3
507-516
EN
In the automobile insurance tarification consists of two stages. The first step is to determine the net premiums on the basis of known risk factors, called a priori ratemaking. The second stage, called a posteriori ratemaking is to take into account the driver's claims history in the premium. Each step usually requires the actuary's selection of the theoretical distribution of the number of claims in the portfolio. The paper presents methods of consistency evaluation of the empirical and theoretical distributions used in motor insurance, illustrated with an example of data from different European markets.
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DISTRIBUTIONS OF THE NUMBER OF CLAIMS BY AGE GROUPS OF INSURED IN CIVIL LIABILITY MOTOR INSURANCE PORTFOLIO

80%
Szymańska A.
Metody Ilościowe w Badaniach Ekonomicznych
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2014
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vol. 15
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issue 2
242-251
EN
In the process of calculation of the insurance premium in civil liability motor insurance the knowledge of distribution of the number and value of paid claims is required. The paper presents the methods of assessing the degree of the fit of theoretical distributions of the number of claims to empirical distributions in civil liability motor insurance in the example of data from one of the insurance companies in Poland. The distributions of the number of claims in separate age groups of drivers were also analyzed and their compatibility to the theoretical distribution of the number of claims in the portfolio was assessed.
3
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Rozkłady liczby szkód w ubezpieczeniach komunikacyjnych OC

80%
Szymańska A., Uniwersytet Łódzki K. M. S.
Acta Universitatis Lodziensis. Folia Oeconomica
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2013
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vol. 296
EN
Determining the amount of the insurance premium is the primary task of each insurance company. In motor liability car insurance determining of premiums requires the knowledge of distribution of the number and amount of claims in the portfolio. The paper presents the most commonly used in motor insurance distributions modeling the number of claims and highlights the methodological problems to evaluate the fit of empirical data to theoretical distributions.
PL
Ustalenie wysokości składki ubezpieczeniowej jest podstawowym zadaniem każdego towarzystwa ubezpieczeniowego. W ubezpieczeniach komunikacyjnych OC wyznaczenie składki wymaga znajomości rozkładów liczby i wartości szkód w portfelu. W pracy przedstawiono najczęściej wykorzystywane w ubezpieczeniach komunikacyjnych rozkłady modelujące liczbę szkód oraz zwrócono uwagę na metodologiczne problemy dotyczące oceny dopasowania danych empirycznych do rozkładów teoretycznych.
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