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Bounds for compound distributions based on mean residual lifetimes and equilibrium distributions

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  • Willmot, Gordon E.

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  • Willmot, Gordon E., 1997. "Bounds for compound distributions based on mean residual lifetimes and equilibrium distributions," Insurance: Mathematics and Economics, Elsevier, vol. 21(1), pages 25-42, October.
    • Handle: RePEc:eee:insuma:v:21:y:1997:i:1:p:25-42
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    References listed on IDEAS

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    1. Massey, William A. & Whitt, Ward, 1993. "A probabilistic generalization of Taylor's theorem," Statistics & Probability Letters, Elsevier, vol. 16(1), pages 51-54, January.
    2. Robert L. Launer, 1984. "Inequalities for NBUE and NWUE Life Distributions," Operations Research, INFORMS, vol. 32(3), pages 660-667, June.
    3. Willmot, Gordon E., 1994. "Refinements and distributional generalizations of Lundberg's inequality," Insurance: Mathematics and Economics, Elsevier, vol. 15(1), pages 49-63, October.
    4. Panjer, Harry H., 1981. "Recursive Evaluation of a Family of Compound Distributions," ASTIN Bulletin, Cambridge University Press, vol. 12(1), pages 22-26, June.
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    Cited by:

    1. Tsai, Cary Chi-Liang & Willmot, Gordon E., 2002. "A generalized defective renewal equation for the surplus process perturbed by diffusion," Insurance: Mathematics and Economics, Elsevier, vol. 30(1), pages 51-66, February.
    2. Lin, X. Sheldon & Willmot, Gordon E., 1999. "Analysis of a defective renewal equation arising in ruin theory," Insurance: Mathematics and Economics, Elsevier, vol. 25(1), pages 63-84, September.
    3. Stathis Chadjiconsatntinidis, 2024. "Two-sided Bounds for Renewal Equations and Ruin Quantities," Methodology and Computing in Applied Probability, Springer, vol. 26(2), pages 1-54, June.
    4. Tsai, Cary Chi-Liang, 2003. "On the expectations of the present values of the time of ruin perturbed by diffusion," Insurance: Mathematics and Economics, Elsevier, vol. 32(3), pages 413-429, July.

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