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 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
