The gamma Burr XII distributions: Theory and applications

We introduce a four-parameter distribution, called the Zografos-Balakrishnan Burr XII distribution. Our purpose is to provide generalization that may be useful still more complex situations. The new distribution an interesting alternative describe income distributions and can also applied in actuarial science, finance, bioscience, telecommunications modelling lifetime data, for example. It contains as special models some well-known distributions, such log-logistic, Weibull, Lomax among others. Some of its structural properties are investigated. method maximum likelihood used estimating model parameters simulation study conducted. two application real data demonstrate usefulness proposed Since Risti´c-Balakrishnan has similar structure studied we present expansions.