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  • 标题:The new family of distributions and applications in heteroscedastic regression analysis
  • 本地全文:下载
  • 作者:Gauss M. Cordeiro ; Thiago G. Ramires ; Edwin M.M. Ortega
  • 期刊名称:Journal of Statistical Theory and Applications (JSTA)
  • 电子版ISSN:1538-7887
  • 出版年度:2017
  • 卷号:16
  • 期号:3
  • 页码:403-420
  • DOI:10.2991/jsta.2017.16.3.11
  • 语种:English
  • 出版社:Atlantis Press
  • 摘要:First we introduce and study some general mathematical properties of a new generator of continuous distributions with two extra shape parameters called the odd generalized half-Cauchy family. A second goal, we introduce the new log-generalized odd half-Cauchy heteroscedastic regression model with censored data, which represents a parametric family of models that includes as sub-models several widely known regression models that can be applied to data with no homogeneity of variance. Maximum likelihood estimation of the model parameters with censored data as well as a simulation study are investigated. We also prove empirically the flexibility of the new family by means real data sets.
  • 关键词:Censored data; generalized half-Cauchy; generated family; heteroscedastic regression models; maximum likelihood.
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