The simultaneous processes of ageing and mortality

P. G. H. Mulder

Statistica Neerlandica, 1993, vol. 47, issue 4, 253-267

Abstract: When studying the stochastic process of mortality related to observed co‐variables in a cohort of subjects followed in time, it is usually assumed that the observed covariables are given, non‐stochastic quantities. In this way one can predict only a subject's survivor function, given certain values of the covariables at baseline. Continuous covariables are assumed to have (approximately) a multivariate Gaussian distribution in a cohort and to evolve with random fluctuation in subjects as a consequence of ageing. Woodbury et al. elaborated a model where this evolution‐diffusion process (called ageing process) can be incorporated and kept in balance by an appropriately modelled mortality selection process, so that the distribution of the covariables in the cohort remains (approximately) Gaussian. The analytical tractability of this model allows one to readily calculate the cohort survivor function as ultimately being epidemiologically more relevant than individual survivorship.

Date: 1993
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