Gompertz–Makeham life expectancies: Expressions and applications

Trifon I. Missov and Adam Lenart

Theoretical Population Biology, 2013, vol. 90, issue C, 29-35

Abstract: In a population of individuals, whose mortality is governed by a Gompertz–Makeham hazard, we derive closed-form solutions to the life-expectancy integral, corresponding to the cases of homogeneous and gamma-heterogeneous populations, as well as in the presence/absence of the Makeham term. Derived expressions contain special functions that aid constructing high-accuracy approximations, which can be used to study the elasticity of life expectancy with respect to model parameters. Knowledge of Gompertz–Makeham life expectancies aids constructing life-table exposures.

Keywords: Gompertz–Makeham model; Unobserved heterogeneity; Life expectancy; Special functions; Elasticities; Exposures (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:90:y:2013:i:c:p:29-35

DOI: 10.1016/j.tpb.2013.09.013

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