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Upper bounds on stop-loss premiums in case of known moments up to the fourth order

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  • Jansen, K.
  • Haezendonck, J.
  • Goovaerts, M. J.

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  • 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.
    • Handle: RePEc:eee:insuma:v:5:y:1986:i:4:p:315-334
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    1. Roos, Ernst & Brekelmans, Ruud & van Eekelen, Wouter & den Hertog, Dick & van Leeuwaarden, Johan S.H., 2022. "Tight tail probability bounds for distribution-free decision making," European Journal of Operational Research, Elsevier, vol. 299(3), pages 931-944.
    2. Grzegorz Darkiewicz & Griselda Deelstra & Jan Dhaene & Tom Hoedemakers & Michèle Vanmaele, 2009. "Bounds for Right Tails of Deterministic and Stochastic Sums of Random Variables," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(4), pages 847-866, December.
    3. Barrieu, Pauline & Scandolo, Giacomo, 2014. "Assessing financial model risk," LSE Research Online Documents on Economics 60084, London School of Economics and Political Science, LSE Library.
    4. van Eekelen, Wouter, 2023. "Distributionally robust views on queues and related stochastic models," Other publications TiSEM 9b99fc05-9d68-48eb-ae8c-9, Tilburg University, School of Economics and Management.
    5. Karthik Natarajan & Melvyn Sim & Joline Uichanco, 2018. "Asymmetry and Ambiguity in Newsvendor Models," Management Science, INFORMS, vol. 64(7), pages 3146-3167, July.
    6. Villegas, Andrés M. & Medaglia, Andrés L. & Zuluaga, Luis F., 2012. "Computing bounds on the expected payoff of Alternative Risk Transfer products," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 271-281.
    7. Wong, Man Hong & Zhang, Shuzhong, 2013. "Computing best bounds for nonlinear risk measures with partial information," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 204-212.
    8. Lefèvre, Claude & Loisel, Stéphane, 2010. "Stationary-excess operator and convex stochastic orders," Insurance: Mathematics and Economics, Elsevier, vol. 47(1), pages 64-75, August.
    9. Robert Howley & Robert Storer & Juan Vera & Luis F. Zuluaga, 2016. "Computing semiparametric bounds on the expected payments of insurance instruments via column generation," Papers 1601.02149, arXiv.org.
    10. Zuluaga, Luis F. & Peña, Javier & Du, Donglei, 2009. "Third-order extensions of Lo's semiparametric bound for European call options," European Journal of Operational Research, Elsevier, vol. 198(2), pages 557-570, October.
    11. Cindy Courtois & Michel Denuit, 2009. "Moment Bounds on Discrete Expected Stop-Loss Transforms, with Applications," Methodology and Computing in Applied Probability, Springer, vol. 11(3), pages 307-338, September.
    12. Wong, Man Hong & Zhang, Shuzhong, 2014. "On distributional robust probability functions and their computations," European Journal of Operational Research, Elsevier, vol. 233(1), pages 23-33.
    13. Courtois, Cindy & Denuit, Michel, 2007. "Bounds on convex reliability functions with known first moments," European Journal of Operational Research, Elsevier, vol. 177(1), pages 365-377, February.
    14. Laureano Escudero & Eva-María Ortega, 2009. "How retention levels influence the variability of the total risk under reinsurance," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(1), pages 139-157, July.
    15. Genest, Christian & Marceau, Étienne & Mesfioui, Mhamed, 2002. "Upper stop-loss bounds for sums of possibly dependent risks with given means and variances," Statistics & Probability Letters, Elsevier, vol. 57(1), pages 33-41, March.
    16. Barrieu, Pauline & Scandolo, Giacomo, 2015. "Assessing financial model risk," European Journal of Operational Research, Elsevier, vol. 242(2), pages 546-556.
    17. Vladislav Krasin & Ivan Smirnov & Alexander Melnikov, 2018. "Approximate option pricing and hedging in the CEV model via path-wise comparison of stochastic processes," Annals of Finance, Springer, vol. 14(2), pages 195-209, May.
    18. Schepper, Ann De & Heijnen, Bart, 2007. "Distribution-free option pricing," Insurance: Mathematics and Economics, Elsevier, vol. 40(2), pages 179-199, March.
    19. Denuit, Michel & Vylder, Etienne De & Lefevre, Claude, 1999. "Extremal generators and extremal distributions for the continuous s-convex stochastic orderings," Insurance: Mathematics and Economics, Elsevier, vol. 24(3), pages 201-217, May.

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