Inference and forecasting in the age-period-cohort model with unknown exposure with an application to mesothelioma mortality
Martinez-Miranda, M. D.
Nielsen, J. P.
It is of considerable interest to forecast future mesothelioma mortality. No measures for exposure are available so it is not straight forward to apply a dose-response model. It is proposed to model the counts of deaths directly using a Poisson regression with an age-period-cohort structure, but without offset. Traditionally the age-period-cohort is viewed to suffer from an identification problem. It is shown how to re-parameterize the model in terms of freely varying parameters, so as to avoid this problem. It is shown how to conduct inference and how to construct distribution forecasts.