Knowledge elicitation of Gompertz’ law of mortality. (English) Zbl 0971.62073

The paper deals with the Gompertz distribution which is rather widely used for modelling of dying out processes. The authors present explicit formulas for the moment generating function of the Gompertz law as well as for the mean and variance of this law. After reparametrization of the Gompertz law to a distribution with mean and variance parameters these explicit formulas lead to rather simple parameter estimators. Also a formula for the remaining life time is derived. Using the theory of heterogeneous populations, mortality models not only age dependent but also depending on summarizing risk factors are investigated.


62P10 Applications of statistics to biology and medical sciences; meta analysis
62E15 Exact distribution theory in statistics
62F10 Point estimation
91D20 Mathematical geography and demography
92D25 Population dynamics (general)
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