A Study on Continuous Poisson-Rayleigh Distribution: Its Properties and Applications

Abstract

This article proposed a Poisson based continuous probability distribution called Poisson-Rayleigh distribution. The study obtained and discussed extensively the properties of the new distribution such as quantile and reliability functions and other useful measures as well as its applications. The model parameters were estimated using the method of maximum likelihood. The usefulness of the new distribution was proven empirically using real life datasets. Results from the application of the proposed model to the real life datasets reveal that the Poisson-Rayleigh distribution fits the datasets much better than the Rayleigh distribution.