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Mortality, longevity and experiments with the Lee-Carter model.

Steven Haberman1, Arthur Renshaw

  • 1Cass Business School, City University, 106 Bunhill Row, London EC1Y 8TZ, UK. S.Haberman@city.ac.uk

Lifetime Data Analysis
|March 4, 2008
PubMed
Summary

This study enhances the Lee-Carter model for mortality forecasting by introducing generalized parametric, non-linear models. It allows for improved age-period-cohort analysis and risk assessment in predictions.

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Area of Science:

  • Demography
  • Actuarial Science
  • Statistical Modeling

Background:

  • The Lee-Carter model is a standard for mortality forecasting.
  • Existing models primarily capture age-specific period effects.
  • There is a need to incorporate age-specific cohort effects for more comprehensive analysis.

Purpose of the Study:

  • To review and extend the Lee-Carter framework.
  • To develop generalized parametric, non-linear models for mortality.
  • To enable the modeling and extrapolation of age-specific cohort effects.

Main Methods:

  • Review of the Lee-Carter modelling framework.
  • Development of generalized, parametric, non-linear models.
  • Application of an age-period-cohort version of the model.
  • Comparative study of simulation strategies for risk assessment.

Main Results:

  • The generalized models accommodate age-specific cohort effects alongside period effects.
  • The age-period-cohort model is demonstrated with a worked example.
  • Simulation strategies for mortality risk assessment are comparatively studied.

Conclusions:

  • The extended framework provides a more versatile tool for mortality modeling.
  • The study offers improved methods for risk assessment in mortality predictions.
  • Enhanced forecasting of life expectancy and annuity values is achievable from both period and cohort perspectives.