ON A BONUS-MALUS SYSTEM WHERE THE CLAIM FREQUENCY DISTRIBUTION IS GEOMETRIC AND THE CLAIM SEVERITY DISTRIBUTION IS PARETO

Mehmet Mert; Yasemin Saykan

Research Article

ON A BONUS-MALUS SYSTEM WHERE THE CLAIM FREQUENCY DISTRIBUTION IS GEOMETRIC AND THE CLAIM SEVERITY DISTRIBUTION IS PARETO

Year 2005, Volume: 34 Issue: 1, 75 - 81, 01.02.2005

Abstract

In this paper, the classical Bonus-Malus Systems (BMS) under which
a premium is set by taking into account only the number of accidents
each policyholder has, is compared with an optimal BMS under which
the premium is set by taking into account both the frequency and the
severity of the claims of each policyholder. The number and size of
the claims an insured person has are assumed to follow a Geometric
distribution and a Pareto distribution, respectively.

Keywords

Net premium principle, Quadratic error loss function, Mixed distributions

References

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Year 2005, Volume: 34 Issue: 1, 75 - 81, 01.02.2005

Mehmet Mert Yasemin Saykan

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Statistics
Journal Section	Statistics
Authors	Mehmet Mert This is me Yasemin Saykan This is me
Publication Date	February 1, 2005
Published in Issue	Year 2005 Volume: 34 Issue: 1

Cite

APA	Mert, M., & Saykan, Y. (2005). ON A BONUS-MALUS SYSTEM WHERE THE CLAIM FREQUENCY DISTRIBUTION IS GEOMETRIC AND THE CLAIM SEVERITY DISTRIBUTION IS PARETO. Hacettepe Journal of Mathematics and Statistics, 34(1), 75-81.
AMA	Mert M, Saykan Y. ON A BONUS-MALUS SYSTEM WHERE THE CLAIM FREQUENCY DISTRIBUTION IS GEOMETRIC AND THE CLAIM SEVERITY DISTRIBUTION IS PARETO. Hacettepe Journal of Mathematics and Statistics. February 2005;34(1):75-81.
Chicago	Mert, Mehmet, and Yasemin Saykan. “ON A BONUS-MALUS SYSTEM WHERE THE CLAIM FREQUENCY DISTRIBUTION IS GEOMETRIC AND THE CLAIM SEVERITY DISTRIBUTION IS PARETO”. Hacettepe Journal of Mathematics and Statistics 34, no. 1 (February 2005): 75-81.
EndNote	Mert M, Saykan Y (February 1, 2005) ON A BONUS-MALUS SYSTEM WHERE THE CLAIM FREQUENCY DISTRIBUTION IS GEOMETRIC AND THE CLAIM SEVERITY DISTRIBUTION IS PARETO. Hacettepe Journal of Mathematics and Statistics 34 1 75–81.
IEEE	M. Mert and Y. Saykan, “ON A BONUS-MALUS SYSTEM WHERE THE CLAIM FREQUENCY DISTRIBUTION IS GEOMETRIC AND THE CLAIM SEVERITY DISTRIBUTION IS PARETO”, Hacettepe Journal of Mathematics and Statistics, vol. 34, no. 1, pp. 75–81, 2005.
ISNAD	Mert, Mehmet - Saykan, Yasemin. “ON A BONUS-MALUS SYSTEM WHERE THE CLAIM FREQUENCY DISTRIBUTION IS GEOMETRIC AND THE CLAIM SEVERITY DISTRIBUTION IS PARETO”. Hacettepe Journal of Mathematics and Statistics 34/1 (February 2005), 75-81.
JAMA	Mert M, Saykan Y. ON A BONUS-MALUS SYSTEM WHERE THE CLAIM FREQUENCY DISTRIBUTION IS GEOMETRIC AND THE CLAIM SEVERITY DISTRIBUTION IS PARETO. Hacettepe Journal of Mathematics and Statistics. 2005;34:75–81.
MLA	Mert, Mehmet and Yasemin Saykan. “ON A BONUS-MALUS SYSTEM WHERE THE CLAIM FREQUENCY DISTRIBUTION IS GEOMETRIC AND THE CLAIM SEVERITY DISTRIBUTION IS PARETO”. Hacettepe Journal of Mathematics and Statistics, vol. 34, no. 1, 2005, pp. 75-81.
Vancouver	Mert M, Saykan Y. ON A BONUS-MALUS SYSTEM WHERE THE CLAIM FREQUENCY DISTRIBUTION IS GEOMETRIC AND THE CLAIM SEVERITY DISTRIBUTION IS PARETO. Hacettepe Journal of Mathematics and Statistics. 2005;34(1):75-81.