Classes of Ordinary Differential Equations Obtained for the Probability Functions of 3-Parameter Weibull Distribution
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Abstract
Description
In this paper, the differential calculus was used to
obtain some classes of ordinary differential equations (ODE)
for the probability density function, quantile function, survival
function, inverse survival function, hazard function and
reversed hazard function of the 3-parameter Weibull
distribution. The stated necessary conditions required for the
existence of the ODEs are consistent with the various
parameters that defined the distribution. Solutions of these
ODEs by using numerous available methods are a new ways of
understanding the nature of the probability functions that
characterize the distribution.
Keywords
Q Science (General), QA Mathematics