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  • 标题:Classes of Ordinary Differential Equations Obtained for the Probability Functions of Kumaraswamy Distribution
  • 本地全文:下载
  • 作者:Hilary I. Okagbue ; Muminu O. Adamu ; Timothy A. Anake
  • 期刊名称:Lecture Notes in Engineering and Computer Science
  • 印刷版ISSN:2078-0958
  • 电子版ISSN:2078-0966
  • 出版年度:2018
  • 卷号:2233&2234
  • 页码:172-178
  • 出版社:Newswood and International Association of Engineers
  • 摘要:In this paper, differential calculus was used to obtain the ordinary differential equations (ODE) of the probability density function (PDF), Quantile function (QF), survival function (SF), inverse survival function (ISF), hazard function (HF) and reversed hazard function (RHF) of Kumaraswamy distribution. The parameters and support that define the distribution inevitably determine the nature, existence, uniqueness and solution of the ODEs. The method can be extended to other probability distributions, functions and can serve an alternative to estimation and approximation. Computer codes and programs can be developed and used for the implementation.
  • 关键词:Differentiation; quantile function; survival function; approximation; hazard function; Kumaraswamy;
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