In this article, we generalize the Rayleigh distribution using the quadratic rank transmutation map studied by Shaw et al. (2009) to develop a transmuted Rayleigh distribution. We provide a comprehensive description of the mathematical properties of the subject distribution along with its reliabilitybehavior. The usefulness of the transmuted Rayleigh distribution for modeling data is illustrated using real data.
Merovci, F. (2016). Transmuted Rayleigh Distribution. Austrian Journal of Statistics, 42(1), 21–31. https://doi.org/10.17713/ajs.v42i1.163