MPIDR Working Paper
Analytic expressions for life expectancy in Gamma-Gompertz Mortality Settings
MPIDR Working Paper WP-2010-020, 8 pages.
Rostock, Max Planck Institute for Demographic Research (February 2010)
In a population with Gamma-distributed individual frailty and Gompertz-distributed mortality there is a closed-form analytic expression for calculating the life-expectancy integral. Several simplifications of the resulting formula serve as plausible approximations.