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Bounds for classical ruin probabilities

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  • De Vylder, F.
  • Goovaerts, M.

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  • De Vylder, F. & Goovaerts, M., 1984. "Bounds for classical ruin probabilities," Insurance: Mathematics and Economics, Elsevier, vol. 3(2), pages 121-131, April.
    • Handle: RePEc:eee:insuma:v:3:y:1984:i:2:p:121-131
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    Cited by:

    1. Olena Ragulina & Jonas Šiaulys, 2020. "Upper Bounds and Explicit Formulas for the Ruin Probability in the Risk Model with Stochastic Premiums and a Multi-Layer Dividend Strategy," Mathematics, MDPI, vol. 8(11), pages 1-35, October.
    2. Asaf Cohen & Virginia R. Young, 2019. "Rate of Convergence of the Probability of Ruin in the Cram\'er-Lundberg Model to its Diffusion Approximation," Papers 1902.00706, arXiv.org, revised Jun 2020.
    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. 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.
    5. Chadjiconstantinidis, Stathis & Xenos, Panos, 2022. "Refinements of bounds for tails of compound distributions and ruin probabilities," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    6. 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.
    7. 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.
    8. Georgios Psarrakos, 2015. "On the Integrated Tail of the Deficit in the Renewal Risk Model," Methodology and Computing in Applied Probability, Springer, vol. 17(2), pages 497-513, June.
    9. Cohen, Asaf & Young, Virginia R., 2020. "Rate of convergence of the probability of ruin in the Cramér–Lundberg model to its diffusion approximation," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 333-340.
    10. Psarrakos, Georgios, 2008. "Tail bounds for the distribution of the deficit in the renewal risk model," Insurance: Mathematics and Economics, Elsevier, vol. 43(2), pages 197-202, October.
    11. 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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