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Modeling loss data using composite models

Author

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  • Abu Bakar, S.A.
  • Hamzah, N.A.
  • Maghsoudi, M.
  • Nadarajah, S.

Abstract

We develop several new composite models based on the Weibull distribution for heavy tailed insurance loss data. The composite model assumes different weighted distributions for the head and tail of the distribution and several such models have been introduced in the literature for modeling insurance loss data. For each model proposed in this paper, we specify two parameters as a function of the remaining parameters. These models are fitted to two real insurance loss data sets and their goodness-of-fit is tested. We also present an application to risk measurements and compare the suitability of the models to empirical results.

Suggested Citation

  • Abu Bakar, S.A. & Hamzah, N.A. & Maghsoudi, M. & Nadarajah, S., 2015. "Modeling loss data using composite models," Insurance: Mathematics and Economics, Elsevier, vol. 61(C), pages 146-154.
    • Handle: RePEc:eee:insuma:v:61:y:2015:i:c:p:146-154
    DOI: 10.1016/j.insmatheco.2014.08.008
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    References listed on IDEAS

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    7. 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.
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