The Poisson-Rayleigh distribution is a Poisson-based continuous probability distribution proposed in this article. The properties of the new distribution, such as quantile and reliability functions, and other important metrics, as well as its applications, were obtained and explored extensively in the paper. The maximum likelihood method was used to estimate the model parameters. The new distribution's utility was demonstrated empirically using real-world datasets. The Poisson-Rayleigh distribution fits the datasets far better than the Rayleigh distribution, according to the results of applying the suggested model to real-world datasets.
Author(S) Details
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, Gombe State University, Nigeria.
Isa Abubakar Ibrahim
Department of Mathematical & Computer Science, Federal University Kashere, Nigeria.
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