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A Poisson common factor model for projecting mortality and life expectancy jointly for females and males

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  • Jackie Li

Abstract

We examine the application of a Poisson common factor model for the projection of mortality jointly for females and males. The model structure is an extension of the classical Lee-Carter method in which there is a common factor for the aggregate population, while a number of additional sex-specific factors can also be incorporated. The Poisson distribution is a natural choice for modelling the number of deaths, and its use provides a formal statistical framework for model selection, parameter estimation, and data analysis. Our results for Australian data show that this model leads to projected life expectancy values similar to those produced by the separate projection of mortality for females and males, but possesses the additional advantage of ensuring that the projected male-to-female ratio for death rates at each age converges to a constant. Moreover, the randomness of the corresponding residuals indicates that the model fit is satisfactory.

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  • Jackie Li, 2013. "A Poisson common factor model for projecting mortality and life expectancy jointly for females and males," Population Studies, Taylor & Francis Journals, vol. 67(1), pages 111-126, March.
    • Handle: RePEc:taf:rpstxx:v:67:y:2013:i:1:p:111-126
    DOI: 10.1080/00324728.2012.689316
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    Cited by:

    1. Snorre Jallbjørn & Søren Fiig Jarner, 2022. "Sex Differential Dynamics in Coherent Mortality Models," Forecasting, MDPI, vol. 4(4), pages 1-26, September.
    2. Luca De Mori & Pietro Millossovich & Rui Zhu & Steven Haberman, 2024. "Two-Population Mortality Forecasting: An Approach Based on Model Averaging," Risks, MDPI, vol. 12(4), pages 1-17, March.
    3. Li, Johnny Siu-Hang & Liu, Yanxin & Chan, Wai-Sum, 2023. "Hedging longevity risk under non-Gaussian state-space stochastic mortality models: A mean-variance-skewness-kurtosis approach," Insurance: Mathematics and Economics, Elsevier, vol. 113(C), pages 96-121.
    4. Li, Jackie & Haberman, Steven, 2015. "On the effectiveness of natural hedging for insurance companies and pension plans," Insurance: Mathematics and Economics, Elsevier, vol. 61(C), pages 286-297.
    5. Schinzinger, Edo & Denuit, Michel M. & Christiansen, Marcus C., 2016. "A multivariate evolutionary credibility model for mortality improvement rates," Insurance: Mathematics and Economics, Elsevier, vol. 69(C), pages 70-81.
    6. Yang, Bowen & Li, Jackie & Balasooriya, Uditha, 2015. "Using bootstrapping to incorporate model error for risk-neutral pricing of longevity risk," Insurance: Mathematics and Economics, Elsevier, vol. 62(C), pages 16-27.
    7. Uditha Balasooriya & Johnny Siu-Hang Li & Jackie Li, 2020. "The Impact of Model Uncertainty on Index-Based Longevity Hedging and Measurement of Longevity Basis Risk," Risks, MDPI, vol. 8(3), pages 1-27, August.
    8. Chong It Tan & Jackie Li & Johnny Siu-Hang Li & Uditha Balasooriya, 2016. "Stochastic modelling of the hybrid survival curve," Journal of Population Research, Springer, vol. 33(4), pages 307-331, December.
    9. Nick Parr & Ross Guest, 2014. "A method for socially evaluating the effects of long-run demographic paths on living standards," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 31(11), pages 275-318.
    10. Jinjing Li & Yogi Vidyattama, 2019. "Projecting spatial population and labour force growth in Australian districts," Journal of Population Research, Springer, vol. 36(3), pages 205-232, September.
    11. de Jong, Piet & Tickle, Leonie & Xu, Jianhui, 2020. "A more meaningful parameterization of the Lee–Carter model," Insurance: Mathematics and Economics, Elsevier, vol. 94(C), pages 1-8.
    12. Guglielmo Maria Caporale & Juan Infante & Marta Rio & Luis A. Gil-Alana, 2023. "Persistence in UK Historical Data on Life Expectancy," Population Research and Policy Review, Springer;Southern Demographic Association (SDA), vol. 42(4), pages 1-11, August.
    13. Katrien Antonio & Anastasios Bardoutsos & Wilbert Ouburg, 2015. "Bayesian Poisson log-bilinear models for mortality projections with multiple populations," Working Papers Department of Accountancy, Finance and Insurance (AFI), Leuven 485564, KU Leuven, Faculty of Economics and Business (FEB), Department of Accountancy, Finance and Insurance (AFI), Leuven.
    14. Tickle Leonie & Booth Heather, 2014. "The Longevity Prospects of Australian Seniors: An Evaluation of Forecast Method and Outcome," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 8(2), pages 259-292, July.
    15. Emanuele Aliverti & Stefano Mazzuco & Bruno Scarpa, 2022. "Dynamic modelling of mortality via mixtures of skewed distribution functions," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 185(3), pages 1030-1048, July.
    16. Sixian Tang & Jackie Li & Leonie Tickle, 2022. "A New Fourier Approach under the Lee-Carter Model for Incorporating Time-Varying Age Patterns of Structural Changes," Risks, MDPI, vol. 10(8), pages 1-24, July.
    17. Jens Robben & Katrien Antonio & Sander Devriendt, 2022. "Assessing the Impact of the COVID-19 Shock on a Stochastic Multi-Population Mortality Model," Risks, MDPI, vol. 10(2), pages 1-33, January.
    18. Jia Liu & Jackie Li, 2019. "Beyond the highest life expectancy: construction of proxy upper and lower life expectancy bounds," Journal of Population Research, Springer, vol. 36(2), pages 159-181, June.
    19. Syazreen Shair & Sachi Purcal & Nick Parr, 2017. "Evaluating Extensions to Coherent Mortality Forecasting Models," Risks, MDPI, vol. 5(1), pages 1-20, March.
    20. de Jong, Piet & Tickle, Leonie & Xu, Jianhui, 2016. "Coherent modeling of male and female mortality using Lee–Carter in a complex number framework," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 130-137.
    21. Jackie Li & Leonie Tickle & Nick Parr, 2016. "A multi-population evaluation of the Poisson common factor model for projecting mortality jointly for both sexes," Journal of Population Research, Springer, vol. 33(4), pages 333-360, December.
    22. Wang, Pengjie & Pantelous, Athanasios A. & Vahid, Farshid, 2023. "Multi-population mortality projection: The augmented common factor model with structural breaks," International Journal of Forecasting, Elsevier, vol. 39(1), pages 450-469.
    23. Kenneth Wong & Jackie Li & Sixian Tang, 2020. "A modified common factor model for modelling mortality jointly for both sexes," Journal of Population Research, Springer, vol. 37(2), pages 181-212, June.
    24. Yanlin Shi & Sixian Tang & Jackie Li, 2020. "A Two-Population Extension of the Exponential Smoothing State Space Model with a Smoothing Penalisation Scheme," Risks, MDPI, vol. 8(3), pages 1-18, June.

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