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Extreme value analysis of actuarial risks: estimation and model validation

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  • Holger Drees

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  • Holger Drees, 2012. "Extreme value analysis of actuarial risks: estimation and model validation," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 96(2), pages 225-264, June.
    • Handle: RePEc:spr:alstar:v:96:y:2012:i:2:p:225-264
    DOI: 10.1007/s10182-011-0184-z
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    References listed on IDEAS

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    1. Danielsson, J. & de Haan, L. & Peng, L. & de Vries, C. G., 2001. "Using a Bootstrap Method to Choose the Sample Fraction in Tail Index Estimation," Journal of Multivariate Analysis, Elsevier, vol. 76(2), pages 226-248, February.
    2. Charpentier, Arthur & Segers, Johan, 2009. "Tails of multivariate Archimedean copulas," Journal of Multivariate Analysis, Elsevier, vol. 100(7), pages 1521-1537, August.
    3. Drees, Holger & Kaufmann, Edgar, 1998. "Selecting the optimal sample fraction in univariate extreme value estimation," Stochastic Processes and their Applications, Elsevier, vol. 75(2), pages 149-172, July.
    4. Einmahl, J.H.J. & Segers, J.J.J., 2008. "Maximum Empirical Likelihood Estimation of the Spectral Measure of an Extreme Value Distribution," Other publications TiSEM e9340b9a-fe69-4e77-8594-8, Tilburg University, School of Economics and Management.
    5. Vandewalle, B. & Beirlant, J., 2006. "On univariate extreme value statistics and the estimation of reinsurance premiums," Insurance: Mathematics and Economics, Elsevier, vol. 38(3), pages 441-459, June.
    6. Anthony W. Ledford & Jonathan A. Tawn, 1997. "Modelling Dependence within Joint Tail Regions," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 59(2), pages 475-499.
    7. Hall, Peter, 1990. "Using the bootstrap to estimate mean squared error and select smoothing parameter in nonparametric problems," Journal of Multivariate Analysis, Elsevier, vol. 32(2), pages 177-203, February.
    8. McNeil, Alexander J., 1997. "Estimating the Tails of Loss Severity Distributions Using Extreme Value Theory," ASTIN Bulletin, Cambridge University Press, vol. 27(1), pages 117-137, May.
    9. Drees, Holger & Müller, Peter, 2008. "Fitting and validation of a bivariate model for large claims," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 638-650, April.
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    Cited by:

    1. Bernhard Klar, 2025. "A Pareto Tail Plot Without Moment Restrictions," The American Statistician, Taylor & Francis Journals, vol. 79(2), pages 156-166, April.

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