Benrabia distribution: properties and applications

In this paper, we propose a new two parameter continuous distribution.It is called a Benrabia distribution. Some statistical properties are derivedsuch as: the moment generating function, the moments and related mea-sures, the reliability analysis and related functions. Also, the distribution oforder statistics and the quantile function are presented and the R?enyi en-tropy is derived. The method of maximum likelihood estimation is used toestimate the distribution parameters. A simulation is performed to investi-gate the performance of MLE, real data applications show that the proposed distribution can provide a better ?t than several well-known distributions