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：207-213
出版社：Newswood and International Association of Engineers
摘要：Kumaraswamy Kumaraswamy distribution was
obtained by compounding two Kumaraswamy random
variables. In this paper, homogenous ordinary differential
equations (ODES) of different orders were obtained for the
probability density function, quantile function, survival
function and hazard function of Kumaraswamy Kumaraswamy
distribution. This is possible since the aforementioned
probability functions are differentiable. Differentiation and
modified product rule were used to obtain the required
ordinary differential equations, whose solutions are the
respective probability functions. The different conditions
necessary for the existence of the ODEs were obtained and it is
almost in consistent with the support that defined the various
probability functions considered. The parameters that defined
each distribution greatly affect the nature of the ODEs
obtained. This method provides new ways of classifying and
approximating other probability distributions apart from
Kumaraswamy Kumaraswamy distribution considered in this
research.
