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：2231&2232
页码：409-412
出版社：Newswood and International Association of Engineers
摘要：Marshall-Olkin Nadarajah-Haghighi (MONH)
distribution is an improved probability model proposed as an
extension of the exponential distribution. In this work,
differentiation was used to obtain the ordinary differential
equations (ODE) of the probability functions of MarshallOlkin
Nadarajah-Haghighi distribution. The parameters and
support that characterized the distribution inevitably
determine the nature, existence, uniqueness and solution of the
ODEs. The method is recommended to be applied to other
probability distributions and probability functions not
considered in this paper. Computer codes and programs can be
used for the implementation.
关键词：Differential calculus; quantile function;
hazard function; reversed hazard function; survival function;
inverse survival function; probability density function;
exponential;
