Title of article :
A New Generalization of the Gompertz Makeham Distribution: Theory and Application in Reliability
Author/Authors :
Yari, Gholamhossein Department of Statistics - School of Mathematics - Iran University of Science and Technology, Tehran, Iran , Rezaei, Rezvan Department of Statistics - School of Mathematics - Iran University of Science and Technology, Tehran, Iran , Karimi Ezmareh, Zahra Department of Statistics - School of Mathematics - Iran University of Science and Technology, Tehran, Iran
Abstract :
In this paper, a new five-parameter distribution called Marshall-Olkin Gompertz Makeham
Distribution (MOGM) is proposed. This new model can be applied to the analysis of lifetime data,
engineering, and actuaries. In addition, several properties of the proposed model such as mode,
moment, Reyni entropy, Tsallis entropy, quantile function, and decreasing and unimodal hazard rate
function were also investigated. The unknown parameters of MOGM distribution were estimated using
Maximum Likelihood Estimation (MLE) and Bayes methods. Then, these methods were compared
using Monte Carlo simulation and the best estimator was introduced accordingly. Finally, some other
applications of the proposed model were illustrated to show its usefulness and efficiency.
Keywords :
Gompertz makeham distribution , Reliability , Estimation parameters , Simulation
Journal title :
International Journal of Industrial Engineering and Production Research
