A New Mixture of Exponential-Gamma Distribution

Abstract

A new distribution called New Mixture of Exponential-Gamma Distribution is presented in thispaper. This new distribution contains exponential and standardized Lindley distributions as submodels. Some of the structural properties of the proposed distribution which include the survivalfunction, hazard rate function, moments, moment generating function, quantile function,distribution of order statistics and Renyi entropy are obtained. The maximum likelihood method ofestimation was used to estimate the parameters of the distribution. A Simulation study was carriedout to examine the performance and accuracy of the maximum likelihood estimates of the proposeddistribution. An application of the proposed distribution to two real lifetime datasets is presented toillustrate its usefulness and superiority over some existing related models.