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Common Factor Cause-Specific Mortality Model

Author

Listed:
  • Geert Zittersteyn

    (ILX, Linnaeusstraat 2A, 1092 CK Amsterdam, The Netherlands)

  • Jennifer Alonso-García

    (Department of Mathematics, Université Libre de Bruxelles, Boulevard du Triomphe, B-1050 Bruxelles, Belgium
    ARC Centre of Excellence in Population Ageing Research (CEPAR), UNSW Sydney, 223 Anzac Pde Kensington, Sydney, NSW 2033, Australia
    Netspar, Warandelaan 2, 5037 AB Tilburg, The Netherlands)

Abstract

Recent pension reforms in Europe have implemented a link between retirement age and life expectancy. The accurate forecast of life tables and life expectancy is hence paramount for governmental policy and financial institutions. We developed a multi-population mortality model which includes a cause-specific environment using Archimedean copulae to model dependence between various groups of causes of death. For this, Dutch data on cause-of-death mortality and cause-specific mortality data from 14 comparable European countries were used. We find that the inclusion of a common factor to a cause-specific mortality context increases the robustness of the forecast and we underline that cause-specific mortality forecasts foresee a more pessimistic mortality future than general mortality models. Overall, we find that this non-trivial extension is robust to the copula specification for commonly chosen dependence parameters.

Suggested Citation

  • Geert Zittersteyn & Jennifer Alonso-García, 2021. "Common Factor Cause-Specific Mortality Model," Risks, MDPI, vol. 9(12), pages 1-30, December.
  • Handle: RePEc:gam:jrisks:v:9:y:2021:i:12:p:221-:d:694111
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    References listed on IDEAS

    as
    1. Chen, Hua & MacMinn, Richard & Sun, Tao, 2015. "Multi-population mortality models: A factor copula approach," Insurance: Mathematics and Economics, Elsevier, vol. 63(C), pages 135-146.
    2. Wang, Antai, 2012. "On the nonidentifiability property of Archimedean copula models under dependent censoring," Statistics & Probability Letters, Elsevier, vol. 82(3), pages 621-625.
    3. Boumezoued, Alexandre & Hardy, Héloïse Labit & El Karoui, Nicole & Arnold, Séverine, 2018. "Cause-of-death mortality: What can be learned from population dynamics?," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 301-315.
    4. Kleinow, Torsten, 2015. "A common age effect model for the mortality of multiple populations," Insurance: Mathematics and Economics, Elsevier, vol. 63(C), pages 147-152.
    5. Rivest, Louis-Paul & Wells, Martin T., 2001. "A Martingale Approach to the Copula-Graphic Estimator for the Survival Function under Dependent Censoring," Journal of Multivariate Analysis, Elsevier, vol. 79(1), pages 138-155, October.
    6. Tim J. Boonen & Hong Li, 2017. "Modeling and Forecasting Mortality With Economic Growth: A Multipopulation Approach," Demography, Springer;Population Association of America (PAA), vol. 54(5), pages 1921-1946, October.
    7. Shripad Tuljapurkar & Nan Li & Carl Boe, 2000. "A universal pattern of mortality decline in the G7 countries," Nature, Nature, vol. 405(6788), pages 789-792, June.
    8. Li, Han & Li, Hong & Lu, Yang & Panagiotelis, Anastasios, 2019. "A forecast reconciliation approach to cause-of-death mortality modeling," Insurance: Mathematics and Economics, Elsevier, vol. 86(C), pages 122-133.
    9. Carter, Lawrence R. & Lee, Ronald D., 1992. "Modeling and forecasting US sex differentials in mortality," International Journal of Forecasting, Elsevier, vol. 8(3), pages 393-411, November.
    10. Brouhns, Natacha & Denuit, Michel & Vermunt, Jeroen K., 2002. "A Poisson log-bilinear regression approach to the construction of projected lifetables," Insurance: Mathematics and Economics, Elsevier, vol. 31(3), pages 373-393, December.
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