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  • 标题:On the Generalized Odd Transmuted Two-Sided Class of Distributions
  • 本地全文:下载
  • 作者:Omid Kharazmi ; Mansour Zargar ; Masoud Ajami
  • 期刊名称:Statistica
  • 印刷版ISSN:1973-2201
  • 出版年度:2021
  • 卷号:80
  • 期号:4
  • 页码:439-467
  • DOI:10.6092/issn.1973-2201/10427
  • 语种:English
  • 出版社:Dep. of Statistical Sciences "Paolo Fortunati", Università di Bologna
  • 摘要:In this paper, a general class of two-sided lifetime distributions is introduced via odd ratio function, the well-known concept in survival analysis and reliability engineering. Some statistical and reliability properties including survival function, quantiles, moments function, asymptotic and maximum likelihood estimation are provided in a general setting. A special case of this new family is taken up by considering the exponential model as the parent distribution. Some characteristics of this specialized model and also a discussion associated with survival regression are provided. A simulation study is presented to investigate the bias and mean square error of the maximum likelihood estimators. Moreover, two examples of real data sets are studied; point and interval estimations of all parameters are obtained by maximum likelihood and bootstrap (parametric and non-parametric) procedures. Finally, the superiority of the proposed model over some common statistical distributions is shown through the different criteria for model selection including loglikelihood values, Akaike information criterion and Kolmogorov-Smirnov test statistic values.
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