文章基本信息

标题：Classes of Ordinary Differential Equations Obtained for the Probability Functions of Logistic and Log-Logistic Distributions
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作者：Hilary I. Okagbue ; Pelumi E. Oguntunde ; Abiodun A. Opanuga 等
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：2237&2238
页码：425-431
出版社：Newswood and International Association of Engineers
摘要：Differential calculus was used to obtain the ordinary differential equations (ODE) of the probability density function (PDF), Quantile function (QF), survival function (SF) and hazard function (HF) of the Logistic and Log-Logistic distributions. 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 used for the implementation.
关键词：Differential calculus; quantile function;; hazard function; reversed hazard function; inverse survival; function; survival function; Logistic distribution.