On a Generalization of Gompertz Distribution and its Applications

Gompertz distribution was proposed by in 1825 and he showed that age specific mortality rates increase exponentially with over much of adult life span. In this paper, we introduce a new generalization study its properties. Characterizations the are obtained. The expressions for moments, quantile function order statistics derived limiting behaviour sample minima is studied. stochastic ordering property established. unknown parameters estimated using maximum likelihood method, method least squares, weighted Cramer-von-Mises method. Simulation carried out to assess performance estimates. Autoregressive time series model generalized as marginal developed. fitted two real data sets show flexibility model.