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Extremal generators and extremal distributions for the continuous s-convex stochastic orderings

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  • Denuit, Michel
  • Vylder, Etienne De
  • Lefevre, Claude
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    File URL: http://www.sciencedirect.com/science/article/B6V8N-3X5H77V-K/2/f0e128a02209c3f10a09073da7eff5fe
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    Bibliographic Info

    Article provided by Elsevier in its journal Insurance: Mathematics and Economics.

    Volume (Year): 24 (1999)
    Issue (Month): 3 (May)
    Pages: 201-217

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    Handle: RePEc:eee:insuma:v:24:y:1999:i:3:p:201-217

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    Web page: http://www.elsevier.com/locate/inca/505554

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    1. Kaas, R. & Goovaerts, M. J., 1986. "Extremal values of stop-loss premiums under moment constraints," Insurance: Mathematics and Economics, Elsevier, vol. 5(4), pages 279-283, October.
    2. Jansen, K. & Haezendonck, J. & Goovaerts, M. J., 1986. "Upper bounds on stop-loss premiums in case of known moments up to the fourth order," Insurance: Mathematics and Economics, Elsevier, vol. 5(4), pages 315-334, October.
    3. De Vylder, F., 1982. "Best upper bounds for integrals with respect to measures allowed to vary under conical and integral constraints," Insurance: Mathematics and Economics, Elsevier, vol. 1(2), pages 109-130, April.
    4. Kaas, R. & Hesselager, O., 1995. "Ordering claim size distributions and mixed Poisson probabilities," Insurance: Mathematics and Economics, Elsevier, vol. 17(2), pages 193-201, October.
    5. Goovaerts, M. J. & Kaas, R., 1985. "Application of the problem of moments to derive bounds on integrals with integral constraints," Insurance: Mathematics and Economics, Elsevier, vol. 4(2), pages 99-111, April.
    6. De Vylder, F. & Goovaerts, M., 1983. "Maximization of the variance of a stop-loss reinsured risk," Insurance: Mathematics and Economics, Elsevier, vol. 2(2), pages 75-80, April.
    7. De Vylder, F., 1983. "Maximization, under equality constraints, of a functional of a probability distribution," Insurance: Mathematics and Economics, Elsevier, vol. 2(1), pages 1-16, January.
    8. Goovaerts, M. J. & De Vylder, F. & Haezendonck, J., 1982. "Ordering of risks: a review," Insurance: Mathematics and Economics, Elsevier, vol. 1(2), pages 131-161, April.
    9. Kaas, R. & Goovaerts, M. J., 1986. "Best bounds for positive distributions with fixed moments," Insurance: Mathematics and Economics, Elsevier, vol. 5(1), pages 87-92, January.
    10. Denuit, Michel & Lefevre, Claude, 1997. "Some new classes of stochastic order relations among arithmetic random variables, with applications in actuarial sciences," Insurance: Mathematics and Economics, Elsevier, vol. 20(3), pages 197-213, October.
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    Citations

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    Cited by:
    1. Denuit, Michel M. & Eeckhoudt, Louis, 2010. "Stronger measures of higher-order risk attitudes," Journal of Economic Theory, Elsevier, vol. 145(5), pages 2027-2036, September.
    2. Denuit, Michel & Lefevre, Claude & Mesfioui, M'hamed, 1999. "On s-convex stochastic extrema for arithmetic risks," Insurance: Mathematics and Economics, Elsevier, vol. 25(2), pages 143-155, November.
    3. repec:hal:wpaper:hal-00750562 is not listed on IDEAS
    4. Denuit, Michel & Rey, Béatrice, 2010. "Prudence, temperance, edginess, and risk apportionment as decreasing sensitivity to detrimental changes," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 137-143, September.
    5. Courtois, Cindy & Denuit, Michel, 2008. "Convex bounds on multiplicative processes, with applications to pricing in incomplete markets," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 95-100, February.
    6. DENUIT, Michel M. & EECKHOUDT, Louis & MENEGATTI, Mario, 2009. "Correlated risks, bivariate utility and optimal choices," CORE Discussion Papers 2009007, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Michel Denuit & Claude Lefèvre & Marco Scarsini, 2001. "On S-Convexity and Risk Aversion," Theory and Decision, Springer, vol. 50(3), pages 239-248, May.
    8. Claude Lefèvre & Stéphane Loisel, 2010. "Stationary-excess operator and convex stochastic orders," Post-Print hal-00442047, HAL.
    9. Claude Lefèvre & Stéphane Loisel, 2013. "On multiply monotone distributions, continuous or discrete, with applications," Post-Print hal-00750562, HAL.
    10. Denuit, Michel, 2000. "Time stochastic s-convexity of claim processes," Insurance: Mathematics and Economics, Elsevier, vol. 26(2-3), pages 203-211, May.

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