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Characterization Theorems for Scale Invariance Property of Insurance Premium Calculation Principles

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2014

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
Characterization theorems for the scale invariance property of the insurance premium calculation principles are presented. Theorems formulated in a form of necessary and sufficient conditions for the mentioned property to be hold. Conditions are imposed on the auxiliary functions with the help of which several methods of pricing of insurance contracts are defined. Presented theorems cover cases of mean value, insurer equivalent/zero utility, customer equivalent/zero utility, and Swiss premium calculation principles.
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  • English

REFERENCES

References: 

[1] S. Asmussen and H. Albrecher. Ruin Probabilities (second edition), World Sientific, Singa¬pore, 2010.
[ 2] P.J. Boland. Statistical and Probabilistic Methods in Actuarial Science, Chapman & Hall, Boca Raton, 2007.
[3] N.L. Bowers, H.-U. Gerber, J.C. Hickman, D.A. Jones, and C.J. Nesbit. Actuarial Mathe¬matics (second edition), The Society of Actuaries, Illinois, 1997.
[4] H. Bühlmann. Mathematical Methods in Risk Theory, Springer, Berlin, 1970.
[ 5] D.C.M. Dickson. Insurance Risk and Ruin, Cambridge University Press, Cambridge, 2005.
[ 6] H.-U. Gerber. An Introduction to Mathematical Risk Theory, S.S. Huebner Foundation for Insurance Education, Philadelpia, 1979.
[ 7] F.E. de Vylder, M. Goovaerts, and J. Haezendonck (editors). Premium Calculation in In¬surance (collection ofarticles), Kluwer Academic Publishers, Boston, 1984.
[ 8] F.E. de Vylder, M. Goovaerts, and J. Haezendonck (editors). Insurance and Risk Theory (collection ofarticles), Kluwer Academic Publishers, Boston, 1986.
[9] R. Kaas, M. Goovaerts, J. Dhaene, and M. Denuit. Modern Actuarial Risk Theoryusing R, Springer, Berlin, 2008.
[10] E. Kremer. Applied Risk Theory, Shaker, Aachen, 1999.
[11] T. Rolski, H. Schmidli, V. Schmidt, and J. Teugels. Stochastic Processes for Insurance and Finance, John Wiley & Sons, Chichester, 1999.
[12] E. Straub. Non-Life Insurance Mathematics, Springer, Berlin, 1988.

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