Classes of Ordinary Differential Equations Obtained for the Probability Functions of Kumaraswamy Inverse Rayleigh Distribution
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Abstract
Description
In this paper, differential calculus was used to
obtain the ordinary differential equations (ODE) of the
probability density function (PDF), Quantile function (QF),
survival function (SF), inverse survival function (ISF), hazard
function (HF) and reversed hazard function (RHF) of
Kumaraswamy inverse Rayleigh distribution. 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.
Keywords
Q Science (General), QA Mathematics