The gamma Burr XII distribution: Theory and application

Renata Rojas Guerra ； Fernando A. Peña-Ramírez ； Gauss M. Cordeiro

《Journal of Data Science》 15卷3期 (2017/07) Pp. 467-494

https://doi.org/10.6339/JDS.201707_15(3).0006

摘要

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

關鍵字

Burr XII distribution ； gamma Burr XII distributions ； gamma-G family ； max- imum likelihood