摘要:We compare quantitatively eight stochastic models explaining improvements in mortality rates in
England and Wales and in the United States. On the basis of the Bayes Information Criterion (BIC),
we find that, for higher ages, an extension of the Cairns-Blake-Dowd (CBD) model that incorporates
a cohort effect fits the England and Wales males data best, while for U.S. males data, the
Renshaw and Haberman (RH) extension to the Lee and Carter model that also allows for a cohort
effect provides the best fit. However, we identify problems with the robustness of parameter
estimates under the RH model, calling into question its suitability for forecasting. A different extension
to the CBD model that allows not only for a cohort effect, but also for a quadratic age
effect, while ranking below the other models in terms of the BIC, exhibits parameter stability
across different time periods for both datasets. This model also shows, for both datasets, that
there have been approximately linear improvements over time in mortality rates at all ages, but
that the improvements have been greater at lower ages than at higher ages, and that there are
significant cohort effects.