ESTIMATION AND UNIQUENESS OF THE GOMPERTZ FORCE OF MORTALITY IN TERMS OF THE MODAL AGE AT DEATH

Abstract

The initial level of mortality and the rate at which mortality rises with age are generally expressed in terms of the Gompertz force of mortality (hazard function). In their paper, James W. Vaupel and others define the Gompertz force of mortality as the rate at which mortality rises with age and the modal age at death. In this paper we estimate the Gompertz force of mortality and prove uniqueness theorem.