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  • 标题:The Marshall-Olkin extended inverted Kumaraswamy distribution: Theory and applications
  • 本地全文:下载
  • 作者:Rana Muhammad Usman ; Muhammad Ahsan ul Haq
  • 期刊名称:Journal of King Saud University - Science
  • 印刷版ISSN:1018-3647
  • 出版年度:2020
  • 卷号:32
  • 期号:1
  • 页码:356-365
  • DOI:10.1016/j.jksus.2018.05.021
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractA new three parametric distribution is proposed and analyzed, termed as the Marshall-Olkin extended inverted Kumaraswamy (MOEIK) distribution. This generalization has some renowned sub models such as the Beta type II, the Lomax and the Fisk distribution, stated in literature. Study includes the basic properties of the observed probabilistic model. Explicit expressions for major mathematical properties of this distribution such as quantile function, complete and incomplete moments, entropies and moments of order statistic are derived. Maximum likelihood estimation method is used to estimate the parameters. For different parameter values, a number of simulation studies are conducted for different sample sizes and compare the performance of the MOEIK distribution. Three real life applications are provided to explain the potentiality and reliability of the extended distribution with confidence that the generalized model have wider applications in hydrology and the associated fields.
  • 关键词:Inverted Kumaraswamy distribution;Quantile function;Moment generating function;Order statistic;Maximum likelihood
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