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- Title
The gamma Burr XII distribution: Theory and application.
- Authors
Guerra, Renata Rojas; Peña-Ramírez, Fernando A.; Cordeiro, Gauss M.
- Abstract
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 interesting 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 parameters. We provide an application to real data to demonstrate the usefulness of the proposed distribution. Since the Risti'c-Balakrishnan gamma Burr XII distribution have similar structure to the studied distribution, we also present some of its mathematical properties and expansions.
- Publication
Journal of Data Science, 2017, Vol 15, Issue 3, p467
- ISSN
1680-743X
- Publication type
Academic Journal