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Bounds for the probability and severity of ruin in the Sparre Andersen model

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  • Politis, Konstadinos

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  • Politis, Konstadinos, 2005. "Bounds for the probability and severity of ruin in the Sparre Andersen model," Insurance: Mathematics and Economics, Elsevier, vol. 36(2), pages 165-177, April.
    • Handle: RePEc:eee:insuma:v:36:y:2005:i:2:p:165-177
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    References listed on IDEAS

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    1. Willmot, Gordon E. & Sheldon Lin, X., 1998. "Exact and approximate properties of the distribution of surplus before and after ruin," Insurance: Mathematics and Economics, Elsevier, vol. 23(1), pages 91-110, October.
    2. David Dickson, 1998. "On a Class of Renewal Risk Processes," North American Actuarial Journal, Taylor & Francis Journals, vol. 2(3), pages 60-68.
    3. Willmot, Gordon E., 2002. "Compound geometric residual lifetime distributions and the deficit at ruin," Insurance: Mathematics and Economics, Elsevier, vol. 30(3), pages 421-438, June.
    4. De Vylder, F. & Goovaerts, M., 1984. "Bounds for classical ruin probabilities," Insurance: Mathematics and Economics, Elsevier, vol. 3(2), pages 121-131, April.
    5. Gerber, Hans U. & Goovaerts, Marc J. & Kaas, Rob, 1987. "On the Probability and Severity of Ruin," ASTIN Bulletin, Cambridge University Press, vol. 17(2), pages 151-163, November.
    6. Dickson, D. C. M., 2001. "Lundberg Approximations for Compound Distributions with Insurance Applications. By G. E. Willmot and X. S. Lin. (Springer, 2000)," British Actuarial Journal, Cambridge University Press, vol. 7(4), pages 690-691, October.
    7. Cai, Jun & Garrido, Jose, 1998. "Aging properties and bounds for ruin probabilities and stop-loss premiums," Insurance: Mathematics and Economics, Elsevier, vol. 23(1), pages 33-43, October.
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    1. Psarrakos, Georgios & Politis, Konstadinos, 2008. "Tail bounds for the joint distribution of the surplus prior to and at ruin," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 163-176, February.
    2. Chadjiconstantinidis, Stathis & Xenos, Panos, 2022. "Refinements of bounds for tails of compound distributions and ruin probabilities," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    3. Chadjiconstantinidis, Stathis & Politis, Konstadinos, 2007. "Two-sided bounds for the distribution of the deficit at ruin in the renewal risk model," Insurance: Mathematics and Economics, Elsevier, vol. 41(1), pages 41-52, July.
    4. Lee, David & Li, Wai Keung & Wong, Tony Siu Tung, 2012. "Modeling insurance claims via a mixture exponential model combined with peaks-over-threshold approach," Insurance: Mathematics and Economics, Elsevier, vol. 51(3), pages 538-550.
    5. Pekalp, Mustafa Hilmi, 2022. "Some new bounds for the mean value function of the residual lifetime process," Statistics & Probability Letters, Elsevier, vol. 187(C).

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