A New Exponentiated Beta Burr Type X Distribution: Model, Theory, and Applications

In recent years, many attempts have been carried out to develop the Burr type X distribution, which is widely used in fitting lifetime data. These extended distributions can model hazard function decreasing, increasing and bathtub shapes, except for unimodal. Hence, this paper aims introduce a new continuous namely exponentiated beta provides greater flexibility order overcome deficiency of existing distributions. We first present its density cumulative expressions. It then followed by mathematical properties include limit behaviour, quantile function, moment, moment generating statistics. use maximum likelihood approach estimate parameters their performance assessed via simulation study with varying parameter values sample sizes. Lastly, we two real data sets illustrate proposed distribution. The results show that distribution gives better fits modelling compared sub-models some Besides, it very competitive be as an alternative nonnested models. summary, flexible able various shaped functions, including increasing, bathtub,