A Continuous Poisson-Rayleigh Distribution: Its Properties and Applications
Abraham Iorkaa Asongo *
Department of Statistics & Operations Research, MAUTech, P. M. B. 2076, Yola, Nigeria.
Innocent Boyle Eraikhuemen
Department of Physical Sciences, Benson Idahosa University Benin-City, Nigeria.
Emmanuel Remi Omoboriowo
Department of Mathematical Sciences, Olabisi Onabanjo University, Ago Iwoye, Nigeria.
Isa Abubakar Ibrahim
Department of Mathematics & Computer Science, Federal University Kashere, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This article proposed a Poisson based continuous probability distribution called Poisson-Rayleigh distribution. Some properties of the new distribution such as quantile and reliability functions and other useful measures were obtained. The model parameters were estimated using the method of maximum likelihood. The usefulness of the new distribution was proven empirically using real life datasets.
Keywords: Poisson distribution, rayleigh distribution, poisson-rayleigh distribution, statistical properties, parameter estimation, applications