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：419-424
出版社：Newswood and International Association of Engineers
摘要：Modified Weibull distribution is an appreciable
improvement over the Weibull distribution. This paper
explores the application of differentiation to obtain the
ordinary differential equations (ODE) of the probability
functions of the modified Weibull Distribution. The
parameters and support that characterized the distribution
inevitably determine the behavior, 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;
Weibull;
