A New Mixture of Exponential-Gamma Distribution

Abstract

Highlights• This paper present a new mixture probability distribution.• The aim of the proposed distribution is to present a more flexible model for lifetime data.• Some important properties of the proposed distribution are studied.• Simulation study is carried out to examine the accuracy of the MLE for different sample sizes.• The usefulness of this distribution is examined with some real lifetime data from literature.

A New Marshall-Olkin Extended Family of Distributions with Bounded Support

“…" Furthermore, the variance, measures of skewness and kurtosis of the MOETL distribution can be derived by substituting the values of the ℎ moments into the expressions reported in [15];…”