Unique estimation of mortality rates in Gompertz survival model parameters

Abstract

In this paper, we have proved uniqueness theorems for estimation of age-dependent parameter α in Gompertz survival model, in the absence of age specific mortality data. We obtained estimations with population size N dependent and uniformly in N (where 1 N = exp[(A α)(1-eαtm)], A is age-independent parameter and t m is maximum lifespan. © 2003 Elsevier Science Ltd. All rights reserved.