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Evaluating and extending the Lee-Carter model for mortality forecasting: bootstrap confidence interval. (English) Zbl 1098.62138

Summary: This paper first studies the performance of the R. D. Lee and L. R. Carter [J. Am. Stat. Assoc. 419, No. 87, 659–675 (1992)] model for mortality forecasting on the Nordic countries. Three approaches for computing the model parameters are compared: Singular Value Decomposition, Weighted Least Squares and Maximum Likelihood Estimation. Hypothetical projections are also made, based on variable period intervals. Secondly, the paper addresses an extension to the Lee-Carter method: a residual bootstrapped technique is used to construct confidence intervals for forecasted life expectancies. Uncertainties produced with this method incorporate the variability from all parameters in the model, while the original Lee–Carter method focuses on the variability in the time-varying parameter.

MSC:

62P05 Applications of statistics to actuarial sciences and financial mathematics
91D20 Mathematical geography and demography
62F25 Parametric tolerance and confidence regions
62N02 Estimation in survival analysis and censored data

Software:

itsmr; SPSS
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References:

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