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文章基本信息

  • 标题:The Extended Generalized Gamma Geometric Distribution
  • 作者:Juliano Bortolini ; Marcelino A. Pascoa ; Renato de Lima
  • 期刊名称:International Journal of Statistics and Probability
  • 印刷版ISSN:1927-7032
  • 电子版ISSN:1927-7040
  • 出版年度:2017
  • 卷号:6
  • 期号:4
  • 页码:48
  • DOI:10.5539/ijsp.v6n4p48
  • 出版社:Canadian Center of Science and Education
  • 摘要:We propose and study the so-called extended generalized gamma geometric distribution. The proposed distribution has five parameters and it can be accommodate increasing, decreasing, bathtub and unimodal shaped hazard functions. The new distribution has a large number of well-known lifetime special sub-models such as the generalized gamma geometric, Weibull geometric, gamma geometric, exponential geometric, Rayleigh geometric, half-normal geometric among others. We provide a mathematical treatment of the new distribution including explicit expressions for moments, moment generating function, mean deviations, reliability and order statistics. The method of maximum likelihood and a Bayesian procedure are adopted for estimating the model parameters. Finally, an application of the new distribution is illustrated in a real data sets.
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