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Simple approximations of ruin probabilities

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  • Grandell, Jan

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  • Grandell, Jan, 2000. "Simple approximations of ruin probabilities," Insurance: Mathematics and Economics, Elsevier, vol. 26(2-3), pages 157-173, May.
    • Handle: RePEc:eee:insuma:v:26:y:2000:i:2-3:p:157-173
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    References listed on IDEAS

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    1. Asmussen, Søren & Klüppelberg, Claudia, 1996. "Large deviations results for subexponential tails, with applications to insurance risk," Stochastic Processes and their Applications, Elsevier, vol. 64(1), pages 103-125, November.
    2. Thorin, Olof & Wikstad, Nils, 1977. "Calculation of Ruin Probabilities when the Claim Distribution is Lognormal," ASTIN Bulletin, Cambridge University Press, vol. 9(1-2), pages 231-246, January.
    3. Embrechts, P. & Veraverbeke, N., 1982. "Estimates for the probability of ruin with special emphasis on the possibility of large claims," Insurance: Mathematics and Economics, Elsevier, vol. 1(1), pages 55-72, January.
    4. Wikstad, Nils, 1971. "Exemplification of Ruin Probabilities," ASTIN Bulletin, Cambridge University Press, vol. 6(2), pages 147-152, December.
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    Cited by:

    1. Covrig Mihaela & Serban Radu, 2008. "About Risk Process Estimation Techniques Employed By A Virtual Organization Which Is Directed Towards The Insurance Business," Annals of Faculty of Economics, University of Oradea, Faculty of Economics, vol. 2(1), pages 841-847, May.
    2. Korolev, Victor & Zeifman, Alexander, 2021. "Bounds for convergence rate in laws of large numbers for mixed Poisson random sums," Statistics & Probability Letters, Elsevier, vol. 168(C).
    3. Krzysztof Burnecki & Marek A. Teuerle & Aleksandra Wilkowska, 2022. "Diffusion Approximations of the Ruin Probability for the Insurer–Reinsurer Model Driven by a Renewal Process," Risks, MDPI, vol. 10(6), pages 1-16, June.
    4. Avram, F. & Pistorius, M., 2014. "On matrix exponential approximations of ruin probabilities for the classic and Brownian perturbed Cramér–Lundberg processes," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 57-64.
    5. Victor Korolev, 2022. "Bounds for the Rate of Convergence in the Generalized Rényi Theorem," Mathematics, MDPI, vol. 10(22), pages 1-16, November.
    6. Yacine Koucha & Alfredo D. Egidio dos Reis, 2021. "Approximations to ultimate ruin probabilities with a Wienner process perturbation," Papers 2107.02537, arXiv.org.
    7. Hu, Xiang & Duan, Baige & Zhang, Lianzeng, 2017. "De Vylder approximation to the optimal retention for a combination of quota-share and excess of loss reinsurance with partial information," Insurance: Mathematics and Economics, Elsevier, vol. 76(C), pages 48-55.
    8. Florin Avram & Romain Biard & Christophe Dutang & Stéphane Loisel & Landy Rabehasaina, 2014. "A survey of some recent results on Risk Theory," Post-Print hal-01616178, HAL.
    9. David J. Santana & Juan González-Hernández & Luis Rincón, 2017. "Approximation of the Ultimate Ruin Probability in the Classical Risk Model Using Erlang Mixtures," Methodology and Computing in Applied Probability, Springer, vol. 19(3), pages 775-798, September.

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