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Coherent mortality forecasting: the product-ratio method with functional time series models

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  • Rob J Hyndman
  • Heather Booth
  • Farah Yasmeen

Abstract

When independence is assumed, forecasts of mortality for subpopulations are almost always divergent in the long term. We propose a method for non-divergent or coherent forecasting of mortality rates for two or more subpopulations, based on functional principal components models of simple and interpretable functions of rates. The product-ratio functional forecasting method models and forecasts the geometric mean of subpopulation rates and the ratio of subpopulation rates to product rates. Coherence is imposed by constraining the forecast ratio function through stationary time series models. The method is applied to sex-specific data for Sweden and state-specific data for Australia. Based on out-of-sample forecasts, the coherent forecasts are at least as accurate in overall terms as comparable independent forecasts, and forecast accuracy is homogenised across subpopulations.

Suggested Citation

  • Rob J Hyndman & Heather Booth & Farah Yasmeen, 2011. "Coherent mortality forecasting: the product-ratio method with functional time series models," Monash Econometrics and Business Statistics Working Papers 1/11, Monash University, Department of Econometrics and Business Statistics.
  • Handle: RePEc:msh:ebswps:2011-1
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    as
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    More about this item

    Keywords

    Mortality forecasting; coherent forecasts; functional data; Lee-Carter method; life expectancy; mortality; age pattern of mortality; sex-ratio;
    All these keywords.

    JEL classification:

    • J11 - Labor and Demographic Economics - - Demographic Economics - - - Demographic Trends, Macroeconomic Effects, and Forecasts
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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