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Blätter der DGVFM

, Volume 24, Issue 4, pp 733–739 | Cite as

Coherent risk measures

  • Freddy Delbaen
Leserforum

Keywords

Risk Measure Insurance Premium Coherent Risk Measure Convex Game Imprecise Probability 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [ADEH1]
    Artzner, Ph., F. Delbaen, J.-M. Eber, andD. Heath (1997), Thinking Coherently, RISK 10, November, 68–71.Google Scholar
  2. [ADEH2]
    Artzner, Ph., F. Delbaen, J.-M. Eber, andD. Heath (1998), Coherent Measures of Risk, submitted.Google Scholar
  3. [Ch]
    Choquet, G. (1953), Theory of capacities, Ann, Inst. Fourier 5, 131–295.MathSciNetGoogle Scholar
  4. [D]
    Delbaen, F. (1974), Convex Games and Extreme Points, Journ. Math. Anal. Appli. 45, 210–233.zbMATHCrossRefMathSciNetGoogle Scholar
  5. [D2]
    Delbaen, F. (1999), Coherent risk measures on general probability spaces, submitted, a preliminary version is available on http://www.math.ethz.ch/delbaen.Google Scholar
  6. [De1]
    Denneberg, D. (1998), Verzerrte Wahrscheinlichkeiten in der Versicherungsmathematik, quantilabhängige Prämienprinzipien, Mathematik-Arbeitspapiere, 34, Universität Bremen.Google Scholar
  7. [De2]
    Denneberg, D. (1997), Non-Additive Measure and Integral, Kluwer, Dordrecht.Google Scholar
  8. [HG]
    Haezendonck, J. andM. Goovaerts (1982), A new Premium calculation principle based on Orlicz norms, Insurance Math. Econom. 1, 41–53.zbMATHCrossRefMathSciNetGoogle Scholar
  9. [Ku]
    Kusuoka, S. (2000), Distribution invariant coherent risk measures, Department of Mathematics, Tokyo University.Google Scholar
  10. [Ma]
    Maaß, S. (1999), Diplomarbeit Universität Bremen.Google Scholar
  11. [Schm1]
    Schmeidler, D. (1972), Cores of Convex Games, J. Math. Anal. Appli. 40, 214–225.zbMATHCrossRefMathSciNetGoogle Scholar
  12. [Schm2]
    Schmeidler, D. (1986), Integral Representation without Additivity, Proc. Amer. Math. Soc. 97, 255–261.zbMATHCrossRefMathSciNetGoogle Scholar
  13. [Wa1]
    Walley, P. (1991), Statistical Reasoning with Imprecise Probabilities, Chapman and Hall, London.zbMATHGoogle Scholar
  14. [Wa2]
    Walley, P. (1999), Towards a Unified Theory of Imprecise Probability, paper presented at the 1st International Symposium on Imprecise Probabilities and Their Applications, Ghent, Belgium June 29–July 2, This paper is available via ftp://ensmain.rug.ac.be/pub/isipta99/055.pdf.Google Scholar
  15. [Wan]
    Wang, Shaun (1998), Comonotonicity, correlation order and premium principles, Insurance Math. Econom. 22, 235–242.zbMATHCrossRefMathSciNetGoogle Scholar

Copyright information

© DAV/DGVFM 2000

Authors and Affiliations

  • Freddy Delbaen
    • 1
  1. 1.Zürich

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