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A Bootstrap Test for the Probability of Ruin in the Compound Poisson Risk Process

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  • Baumgartner, Benjamin
  • Gatto, Riccardo

Abstract

In this article we propose a bootstrap test for the probability of ruin in the compound Poisson risk process. We adopt the P-value approach, which leads to a more complete assessment of the underlying risk than the probability of ruin alone. We provide second-order accurate P-values for this testing problem and consider both parametric and nonparametric estimators of the individual claim amount distribution. Simulation studies show that the suggested bootstrap P-values are very accurate and outperform their analogues based on the asymptotic normal approximation.

Suggested Citation

  • Baumgartner, Benjamin & Gatto, Riccardo, 2010. "A Bootstrap Test for the Probability of Ruin in the Compound Poisson Risk Process," ASTIN Bulletin, Cambridge University Press, vol. 40(1), pages 241-255, May.
    • Handle: RePEc:cup:astinb:v:40:y:2010:i:01:p:241-255_00
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    Cited by:

    1. You, Honglong & Guo, Junyi & Jiang, Jiancheng, 2020. "Interval estimation of the ruin probability in the classical compound Poisson risk model," Computational Statistics & Data Analysis, Elsevier, vol. 144(C).
    2. Yuan Gao & Lingju Chen & Jiancheng Jiang & Honglong You, 2020. "Nonparametric Estimation of the Ruin Probability in the Classical Compound Poisson Risk Model," JRFM, MDPI, vol. 13(12), pages 1-12, November.
    3. Jorge Wilson Euphasio Junior & João Vinícius França Carvalho, 2022. "Resseguro e Capital de Solvência: Atenuantes da Probabilidade de Ruína de SeguradorasReinsurance and Solvency Capital: Mitigating Insurance Companies’ Ruin Probability," RAC - Revista de Administração Contemporânea (Journal of Contemporary Administration), ANPAD - Associação Nacional de Pós-Graduação e Pesquisa em Administração, vol. 26(1), pages 200191-2001.

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