A comonotonic image of independence for additive risk measures
Abstract
This paper presents a new axiomatic characterization of risk measures that are additive for independent random variables. In contrast to previous work, we include an axiom that guarantees monotonicity of the risk measure. Furthermore, the axiom of additivity for independent random variables is related to an axiom of additivity for comonotonic random variables. The risk measure characterized can be regarded as a mixed exponential premium.(This abstract was borrowed from another version of this item.)
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Bibliographic Info
Article provided by Elsevier in its journal Insurance: Mathematics and Economics.
Volume (Year): 35 (2004)
Issue (Month): 3 (December)
Pages: 581-594
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Web page: http://www.elsevier.com/locate/inca/505554
Related research
Keywords:Other versions of this item:
- Marc J. Goovaerts & Rob Kaas & Roger J.A. Laeven & Qihe Tang, 2004. "A Comonotonic Image of Independence for Additive Risk Measures," Tinbergen Institute Discussion Papers 04-030/4, Tinbergen Institute.
- Laeven, R. & Kaas, R. & Goovaerts, Marc & Tang, Q., 2004. "A comonotone image of independence for additive risk measures," Open Access publications from Katholieke Universiteit Leuven urn:hdl:123456789/200581, Katholieke Universiteit Leuven.
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies
References
References listed on IDEASPlease report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
- Schmeidler, David, 1989.
"Subjective Probability and Expected Utility without Additivity,"
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- David Schmeidler, 1989. "Subjective Probability and Expected Utility without Additivity," Levine's Working Paper Archive 7662, David K. Levine.
- 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.
- Dhaene, Jan & Denuit, Michel & Goovaerts, Marc & Kaas, R & Vyncke, D, 2002. "The concept of comonotonicity in actuarial science and finance : theory," Open Access publications from Katholieke Universiteit Leuven urn:hdl:123456789/224320, Katholieke Universiteit Leuven.
- Denuit, Michel, 2001. "Laplace transform ordering of actuarial quantities," Insurance: Mathematics and Economics, Elsevier, vol. 29(1), pages 83-102, August.
- 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.
- Dhaene, Jan & Denuit, Michel & Goovaerts, Marc & Kaas, R & Vyncke, D, 2002. "The concept of comonotonicity in actuarial science and finance : applications," Open Access publications from Katholieke Universiteit Leuven urn:hdl:123456789/224321, Katholieke Universiteit Leuven.
- Goovaerts, Marc & Kaas, R. & Dhaene, Jan & Tang, Q., 2003. "A unified approach to generate risk measures," Open Access publications from Katholieke Universiteit Leuven urn:hdl:123456789/200990, Katholieke Universiteit Leuven.
- Van Heerwaarden, A. E. & Kaas, R. & Goovaerts, M. J., 1989. "Properties of the Esscher premium calculation principle," Insurance: Mathematics and Economics, Elsevier, vol. 8(4), pages 261-267, December.
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