Distortion Risk Measures and Discrete Risks

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Distortion Risk Measures and Discrete Risks

Author Info

Antonella Campana (Department SEGeS - University of Molise)
Paola Ferretti (Department of Applied Mathematics - University Ca' Foscari)

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Paola Ferretti

Abstract

In this paper we consider the problem of determining approximations for distortion risk measures of sums of non-independent random variables. First, we give an overview of the recent actuarial literature on distortion risk measures and convex bounds for sums of random variables. Then, we examine the case of discrete risks with identical distribution. Upper and lower bounds for risk measures of sums of risks are presented in the case of concave distortion functions. The result is then extended to cover the case of non necessarily discrete risks.

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Paper provided by EconWPA in its series Game Theory and Information with number 0510013.

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Length: 13 pages
Date of creation: 31 Oct 2005
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Handle: RePEc:wpa:wuwpga:0510013

Note: Type of Document - pdf; pages: 13
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Find related papers by JEL classification:
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
D8 - Microeconomics - - Information, Knowledge, and Uncertainty

This paper has been announced in the following NEP Reports:

NEP-ALL-2005-11-05 (All new papers)

References listed on IDEAS
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Kaas, Rob & Dhaene, Jan & Goovaerts, Marc J., 2000. "Upper and lower bounds for sums of random variables," Insurance: Mathematics and Economics, Elsevier, vol. 27(2), pages 151-168, October. [Downloadable!] (restricted)
Shaun, Wang, 1995. "Insurance pricing and increased limits ratemaking by proportional hazards transforms," Insurance: Mathematics and Economics, Elsevier, vol. 17(1), pages 43-54, August. [Downloadable!] (restricted)
Dhaene, J. & Denuit, M. & Goovaerts, M. J. & Kaas, R. & Vyncke, D., 2002. "The concept of comonotonicity in actuarial science and finance: applications," Insurance: Mathematics and Economics, Elsevier, vol. 31(2), pages 133-161, October. [Downloadable!] (restricted)
Dhaene, J. & Denuit, M. & Goovaerts, M. J. & Kaas, R. & Vyncke, D., 2002. "The concept of comonotonicity in actuarial science and finance: theory," Insurance: Mathematics and Economics, Elsevier, vol. 31(1), pages 3-33, August. [Downloadable!] (restricted)
Dhaene, Jan & Denuit, Michel, 1999. "The safest dependence structure among risks," Insurance: Mathematics and Economics, Elsevier, vol. 25(1), pages 11-21, September. [Downloadable!] (restricted)

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