Another extension of the Gompertz distribution : Properties, applications and regression

Modelling heterogeneous data sets is an emerging research area that is growing steadily. This paper introduces the Harmonic Mixture Gompertz distribution, a new mixture model derived from the weighted harmonic mean of the survival functions of two Gompertz distributions. Some statistical properties are obtained. A simulation study is conducted to evaluate the performance of some estimation techniques used. Two-lifetime data sets were applied to the proposed distribution to ascertain its versatility while comparing it with other modifications of the Gompertz distribution. A regression model from the proposed model is developed using logarithmic link functions.