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  • 标题:The Kumaraswamy Generalized Half-Normal Distribution for Skewed Positive Data
  • 本地全文:下载
  • 作者:Gauss M. Cordeiro ; Rodrigo R. Pescim ; Edwin M. M. Ortega
  • 期刊名称:Journal of Data Science
  • 印刷版ISSN:1680-743X
  • 电子版ISSN:1683-8602
  • 出版年度:2012
  • 卷号:10
  • 期号:2
  • 页码:195-224
  • 出版社:Tingmao Publish Company
  • 摘要:For the rst time, we propose and study the Kumaraswamy generalizedhalf-normal distribution for modeling skewed positive data. Thehalf-normal and generalized half-normal (Cooray and Ananda, 2008) distributionsare special cases of the new model. Various of its structural propertiesare derived, including explicit expressions for the density function,moments, generating and quantile functions, mean deviations and momentsof the order statistics. We investigate maximum likelihood estimation ofthe parameters and derive the expected information matrix. The proposedmodel is modi ed to open the possibility that long-term survivors may bepresented in the data. Its applicability is illustrated by means of four realdata sets.
  • 关键词:Expected information; generalized half-normal distribution;half-normal distribution; hazard rate function; Kumaraswamy distribution;maximum likelihood estimation; mean deviation.
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