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Inference and forecasting in the age–period–cohort model with unknown exposure with an application to mesothelioma mortality
Author(s) -
Martínez Miranda María Dolores,
Nielsen Bent,
Nielsen Jens Perch
Publication year - 2015
Publication title -
journal of the royal statistical society: series a (statistics in society)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.103
H-Index - 84
eISSN - 1467-985X
pISSN - 0964-1998
DOI - 10.1111/rssa.12051
Subject(s) - cohort effect , poisson regression , cohort , inference , statistics , poisson distribution , econometrics , mesothelioma , regression , medicine , computer science , mathematics , artificial intelligence , population , pathology , environmental health
Summary It is of considerable interest to forecast future mesothelioma mortality. No measures for exposure are available so it is not straightforward to apply a dose–response model. It is proposed to model the counts of deaths directly by using a Poisson regression with an age–period–cohort structure, but without offset. Traditionally the age–period–cohort is viewed as suffering from an identification problem. It is shown how to reparameterize the model in terms of freely varying parameters, to avoid this problem. It is shown how to conduct inference and how to construct distribution forecasts.