On odd generalized exponential-rayleigh distribution with its properties and application

Abstract

The Rayleigh distribution has wide range of applications in Applied Sciences; some of which are related to sea waves, harbor, coastal-engineering and studies on wind-wave heights among others.In this article, we propose a new lifetime model entitled Odd Generalized Exponential-Rayleigh Distribution and present some of its statistical properties comprising moments, moment generating function, reliability analysis and order statistics. A method of maximum likelihood was used to estimate the parameters of the new distribution. The applicability of the new distribution using real dataset was also illustrated and its performance compared with other distributions in literature.