A generalized form of Inverse Rayleigh distribution was derived by using quadratic rank transmutation map (QTRM), known as Transmuted Exponentiated Inverse Rayleigh (TEIR) distribution. A comprehensive account of the mathematical properties of TEIR distribution was discussed. We have derived its moments, incomplete moments, renyi entropy, random number generator and quantile function. Furthermore, expressions of hazard and survival function were derived. The plots of probability density function and hazard function were also present. Maximum likelihood equations and the order statistics densities were derived. The utility of the distribution is optimized through a real data set application.
Digital Object Identifier (DOI)
Ahsan ul Haq, Muhammad
"Transmuted Exponentiated Inverse Rayleigh Distribution,"
Journal of Statistics Applications & Probability: Vol. 5
, Article 15.
Available at: https://dc.naturalspublishing.com/jsap/vol5/iss2/15