FITTING OF AGE-SPECIFIC MORTALITY

Abstract

The age-pattern of mortality can be represented by various parametric models. In the present paper we consider a mixture of Weibull, Inverse-Weibull, and Gompertz-Makeham (GoMa) survival functions and Heligman–Pollard model to fit U.S. life table 2014.  We use loss criterion for parameter estimation and demonstrate fitting of model. Both mixture and Heligman–Pollard model fit the mortality pattern reasonably well up to age 90.  We notice that the estimated mortality rates fit the actual pattern fairly well, although the fit at the earlier ages could be better. We have obtained the plots using our estimated values. The plots for mortality pattern of total population and other demographic characteristics (sex and race) are also considered.