On the Properties of New Mixture of Gamma and Nakagami Distribution

Many attempts have been undertaken in the last few decades to expand the well-known distributions to create more flexible lifetime distributions. To produce a novel distribution, the Gamma and Nakagami-were chosen and mixed in this article to form the New Mixture of Gamma and Nakagami Distribution (MGND). First, this article presents the cumulative function and the probability density of MGND. Next, the statistical properties of MGND were examined, including order statistics, hazard function, survival function, ordinary moments, and incomplete moments. Lastly, the maximum likelihood method was used to estimate the parameters of MGND, and a simulation study with different parameter values and sample sizes was used to assess the estimator's performance.