## A multivariate time series approach to projected life tables.(English)Zbl 1224.91069

This paper investigates the use of multivariate time series techniques for forecasting age-specific death rates. The authors extend the Lee-Carter model to the dynamic factor models and the common trends approach. It is pointed out the equivalence between the common trends representation and the cointegration approach. The dynamic relationships among the series of age-specific death rates are estimated with the help of the Johansen maximum likelihood methodology. An empirical illustration performed on Belgian mortality statistics is presented. The Johansen cointegration methodology is used to generate forecasts for the death rates by using a vector-error correction model.

### MSC:

 91B30 Risk theory, insurance (MSC2010) 62P05 Applications of statistics to actuarial sciences and financial mathematics
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### References:

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