摘要:This study sets out a framework to evaluate the goodness of fit of stochastic mortality
models and applies it to six different models estimated using English & Welsh male
mortality data. The methodology exploits the structure of each model to obtain
various residual series that are predicted to be iid standard normal under the null
hypothesis of model adequacy. Goodness of fit can then be assessed using
conventional tests of the predictions of iid standard normality. The models considered
are Lee-Carter’s 1992 one-factor model, a version of Renshaw-Haberman’s 2006
extension of the Lee-Carter model to allow for a cohort effect, Currie’s 2006 ageperiod-
cohort model, which is a simplified version of the Renshaw-Haberman model,
the Cairns-Blake-Dowd 2006 two-factor model and two generalised versions of the
latter that allow for a cohort effect. For the data set considered, there are some notable
differences amongst the different models, but none of the models performs well in all
tests and no model clearly dominates the others.