文章基本信息

标题：The gamma Burr XII distribution: Theory and application
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作者：Renata Rojas Guerra ; Fernando A. Pe~na-Ramrez ; Gauss M. Cordeiro 等
期刊名称：Journal of Data Science
印刷版ISSN：1680-743X
电子版ISSN：1683-8602
出版年度：2017
卷号：15
期号：3
页码：467-494
出版社：Tingmao Publish Company
摘要：We introduce a four-parameter distribution, called the Zografos-BalakrishnanBurr XII distribution. Our purpose is to provide a Burr XII generalization that maybe useful to still more complex situations. The new distribution may be an interestingalternative to describe income distributions and can also be applied in actuarial science,nance, bioscience, telecommunications and modelling lifetime data, for example. Itcontains as special models some well-known distributions, such as the log-logistic,Weibull,Lomax and Burr XII distributions, among others. Some of its structural propertiesare investigated. The method of maximum likelihood is used for estimating the modelparameters and a simulation study is conducted. We provide two application to real datato demonstrate the usefulness of the proposed distribution. Since the Ristic-BalakrishnanBurr XII distribution has a similar structure to the studied distribution, we also presentsome of its properties and expansions.
关键词：Burr XII distribution; gamma Burr XII distributions; gamma-G family; maximum;likelihood.