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LSTM-Based Coherent Mortality Forecasting for Developing Countries

Author

Listed:
  • Jose Garrido

    (Department of Mathematics and Statistics, Concordia University, Montreal, QC H3G 1M8, Canada)

  • Yuxiang Shang

    (Department of Financial and Actuarial Mathematics, Xi’an Jiaotong–Liverpool University, Suzhou 215123, China)

  • Ran Xu

    (Department of Financial and Actuarial Mathematics, Xi’an Jiaotong–Liverpool University, Suzhou 215123, China)

Abstract

This paper studies a long short-term memory (LSTM)-based coherent mortality forecasting method for developing countries or regions. Many of such developing countries have experienced a rapid mortality decline over the past few decades. However, their recent mortality development trend is not necessarily driven by the same factors as their long-term behavior. Hence, we propose a time-varying mortality forecasting model based on the life expectancy and lifespan disparity gap between these developing countries and a selected benchmark group. Here, the mortality improvement trend for developing countries is expected to converge gradually to that of the benchmark group during the projection phase. More specifically, we use a unified deep neural network model with LSTM architecture to project the life expectancy and lifespan disparity difference, which further controls the rotation of the time-varying weight parameters in the model. This approach is applied to three developing countries and three developing regions. The empirical results show that this LSTM-based coherent forecasting method outperforms classical methods, especially for the long-term projections of mortality rates in developing countries.

Suggested Citation

  • Jose Garrido & Yuxiang Shang & Ran Xu, 2024. "LSTM-Based Coherent Mortality Forecasting for Developing Countries," Risks, MDPI, vol. 12(2), pages 1-24, February.
  • Handle: RePEc:gam:jrisks:v:12:y:2024:i:2:p:27-:d:1330999
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    References listed on IDEAS

    as
    1. Susanna Levantesi & Virginia Pizzorusso, 2019. "Application of Machine Learning to Mortality Modeling and Forecasting," Risks, MDPI, vol. 7(1), pages 1-19, February.
    2. Hainaut, Donatien, 2018. "A Neural-Network Analyzer for Mortality Forecast," LIDAM Reprints ISBA 2018027, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    3. Christina Bohk-Ewald & Marcus Ebeling & Roland Rau, 2017. "Lifespan Disparity as an Additional Indicator for Evaluating Mortality Forecasts," Demography, Springer;Population Association of America (PAA), vol. 54(4), pages 1559-1577, August.
    4. 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.
    5. Li, Hong & Lu, Yang, 2017. "Coherent Forecasting Of Mortality Rates: A Sparse Vector-Autoregression Approach," ASTIN Bulletin, Cambridge University Press, vol. 47(2), pages 563-600, May.
    6. Mario Marino & Susanna Levantesi & Andrea Nigri, 2023. "A Neural Approach to Improve the Lee-Carter Mortality Density Forecasts," North American Actuarial Journal, Taylor & Francis Journals, vol. 27(1), pages 148-165, January.
    7. Czado, Claudia & Delwarde, Antoine & Denuit, Michel, 2005. "Bayesian Poisson log-bilinear mortality projections," Insurance: Mathematics and Economics, Elsevier, vol. 36(3), pages 260-284, June.
    8. Hainaut, Donatien, 2018. "A Neural-Network Analyzer For Mortality Forecast," ASTIN Bulletin, Cambridge University Press, vol. 48(2), pages 481-508, May.
    9. Nan Li & Ronald Lee & Patrick Gerland, 2013. "Extending the Lee-Carter Method to Model the Rotation of Age Patterns of Mortality Decline for Long-Term Projections," Demography, Springer;Population Association of America (PAA), vol. 50(6), pages 2037-2051, December.
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