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The Distribution of the time to Ruin in the Classical Risk Model

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  • Dickson, David C.M.
  • Waters, Howard R.

Abstract

We study the distribution of the time to ruin in the classical risk model. We consider some methods of calculating this distribution, in particular by using algorithms to calculate finite time ruin probabilities. We also discuss calculation of the moments of this distribution.

Suggested Citation

  • Dickson, David C.M. & Waters, Howard R., 2002. "The Distribution of the time to Ruin in the Classical Risk Model," ASTIN Bulletin, Cambridge University Press, vol. 32(2), pages 299-313, November.
    • Handle: RePEc:cup:astinb:v:32:y:2002:i:02:p:299-313_01
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    Cited by:

    1. Lee, Wing Yan & Willmot, Gordon E., 2014. "On the moments of the time to ruin in dependent Sparre Andersen models with emphasis on Coxian interclaim times," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 1-10.
    2. He, Zhidong & Van Mieghem, Piet, 2018. "The spreading time in SIS epidemics on networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 317-330.
    3. Maite Teresa Marmol Jimenez & M. Mercedes Claramunt Bielsa, 2006. "Time of ruin in a risk model with generalized Erlang (n) interclaim times and a constant dividend barrier," Working Papers in Economics 157, Universitat de Barcelona. Espai de Recerca en Economia.
    4. Philipp Lukas Strietzel & Anita Behme, 2022. "Moments of the Ruin Time in a Lévy Risk Model," Methodology and Computing in Applied Probability, Springer, vol. 24(4), pages 3075-3099, December.
    5. Emilio Gómez-Déniz & Jorge V. Pérez-Rodríguez & Simón Sosvilla-Rivero, 2022. "Analyzing How the Social Security Reserve Fund in Spain Affects the Sustainability of the Pension System," Risks, MDPI, vol. 10(6), pages 1-17, June.
    6. Drekic, Steve & Stafford, James E. & Willmot, Gordon E., 2004. "Symbolic calculation of the moments of the time of ruin," Insurance: Mathematics and Economics, Elsevier, vol. 34(1), pages 109-120, February.
    7. Egidio dos Reis, Alfredo D., 2002. "How many claims does it take to get ruined and recovered?," Insurance: Mathematics and Economics, Elsevier, vol. 31(2), pages 235-248, October.
    8. Abouzar Bazyari, 2023. "On the Ruin Probabilities in a Discrete Time Insurance Risk Process with Capital Injections and Reinsurance," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(2), pages 1623-1650, August.

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