Transmuted Inverse Rayleigh Distribution: A Generalization of the Inverse Rayleigh Distribution.

Abstract

In this article, we generalize the Inverse Rayleigh distribution using the quadratic rank transmutation map studied by Shaw et al. (2007) to develop a transmuted inverse Rayleigh distribution. The properties of this distribution are derived and the estimation of the model parameters is performed by maximum likelihood method.

Keywords: Inverse Rayleigh Distribution, Transmutation Map, Hazard Rate Function, Reliability Function, Order Statistics, Parameter Estimation.