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Applicability of Bayesian Methods for Loss Ratio Estimation

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The Impact of Applications on Mathematics

Part of the book series: Mathematics for Industry ((MFI,volume 1))

Abstract

In an earlier paper, we proposed a Bayesian approach towards estimating the Value-at-Risk of an insurance loss ratio, taking into account both the parameter risk and the model risk. In this paper, we apply the approach to real data and evaluate the plausibility of the estimators.

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References

  1. Kondo, H., Saito, S.: Bayesian approach to measuring parameter and model risk in loss ratio estimation. J. Math. Ind. 4(B), 85–89 (2012)

    MathSciNet  Google Scholar 

  2. The General Insurance Association of Japan: Hoken Shumoku Betsu Songai Ritsu (loss ratios by line). http://www.sonpo.or.jp/archive/statistics/syumoku/pdf/index/syumoku_songairitu.pdf (2013). Accessed 22 Feb 2014

  3. The General Insurance Association of Japan: General Insurance in Japan fact book 2012–2013. http://www.sonpo.or.jp/en/publication/pdf/fb2013e.pdf (2013). Accessed 22 Feb 2014

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Correspondence to Shingo Saito .

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© 2014 Springer Japan

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Kondo, H., Saito, S. (2014). Applicability of Bayesian Methods for Loss Ratio Estimation. In: Wakayama, M., et al. The Impact of Applications on Mathematics. Mathematics for Industry, vol 1. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54907-9_22

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  • DOI: https://doi.org/10.1007/978-4-431-54907-9_22

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  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-54906-2

  • Online ISBN: 978-4-431-54907-9

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