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Some Comments on the Sparre Andersen Model in the Risk Theory

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  • Thorin, Olof

Abstract

The Sparre Andersen model assumes that the interclaim times and the amounts of claims are independent random variables, the former identically distributed according to a distribution function K(t), t ≥ o, K(o) = o, the latter identically distributed according to a distribution function P(y) — ∞

Suggested Citation

  • Thorin, Olof, 1974. "Some Comments on the Sparre Andersen Model in the Risk Theory," ASTIN Bulletin, Cambridge University Press, vol. 8(1), pages 104-125, September.
    • Handle: RePEc:cup:astinb:v:8:y:1974:i:01:p:104-125_00
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    Cited by:

    1. Ambagaspitiya, Rohana S., 2009. "Ultimate ruin probability in the Sparre Andersen model with dependent claim sizes and claim occurrence times," Insurance: Mathematics and Economics, Elsevier, vol. 44(3), pages 464-472, June.
    2. Yacine Koucha & Alfredo D. Egidio dos Reis, 2021. "Approximations to ultimate ruin probabilities with a Wienner process perturbation," Papers 2107.02537, arXiv.org.
    3. Ka-Meng Siu & Ka-Hou Chan & Sio-Kei Im, 2023. "A Study of Assessment of Casinos’ Risk of Ruin in Casino Games with Poisson Distribution," Mathematics, MDPI, vol. 11(7), pages 1-15, April.
    4. Edita Kizinevič & Jonas Šiaulys, 2018. "The Exponential Estimate of the Ultimate Ruin Probability for the Non-Homogeneous Renewal Risk Model," Risks, MDPI, vol. 6(1), pages 1-17, March.

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