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Loss Reserving Estimation With Correlated Run-Off Triangles in a Quantile Longitudinal Model

Author

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  • Ioannis Badounas

    (Department of Statistics and Insurance Science, University of Piraeus, 18534 Piraeus, Greece)

  • Georgios Pitselis

    (Department of Statistics and Insurance Science, University of Piraeus, 18534 Piraeus, Greece)

Abstract

In this paper, we consider a loss reserving model for a general insurance portfolio consisting of a number of correlated run-off triangles that can be embedded within the quantile regression model for longitudinal data. The model proposes a combination of the between- and within-subportfolios (run-off triangles) estimating functions for regression parameter estimation, which take into account the correlation and variation of the run-off triangles. The proposed method is robust to the error correlation structure, improves the efficiency of parameter estimators, and is useful for the estimation of the reserve risk margin and value at risk (VaR) in actuarial and finance applications.

Suggested Citation

  • Ioannis Badounas & Georgios Pitselis, 2020. "Loss Reserving Estimation With Correlated Run-Off Triangles in a Quantile Longitudinal Model," Risks, MDPI, vol. 8(1), pages 1-26, February.
    • Handle: RePEc:gam:jrisks:v:8:y:2020:i:1:p:14-:d:315997
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    References listed on IDEAS

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    Cited by:

    1. Jan Barlak & Matus Bakon & Martin Rovnak & Martina Mokrisova, 2022. "Heat Equation as a Tool for Outliers Mitigation in Run-Off Triangles for Valuing the Technical Provisions in Non-Life Insurance Business," Risks, MDPI, vol. 10(9), pages 1-17, August.
    2. Roberto Bomgiovani Cazzari & Guilherme Rodovalho Fernandes Moreira, 2022. "Uncertainty of Claims Provisions from the Analysis of Financial Statements," RAC - Revista de Administração Contemporânea (Journal of Contemporary Administration), ANPAD - Associação Nacional de Pós-Graduação e Pesquisa em Administração, vol. 26(3), pages 200400-2004.

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