Rayleigh-Poisson Distribution: Properties and Estimation with Applications of COVID-19 Mortality Rate

Authors

A. A. Ahmed, Statistics Department, Faculty of Commerce, AL-Azhar University (Girls’ Branch), Cairo, EgyptFollow
G. R. AL –Dayian, Statistics Department, Faculty of Commerce, AL-Azhar University (Girls’ Branch), Cairo, EgyptFollow
A. A. EL-Helbawy, Statistics Department, Faculty of Commerce, AL-Azhar University (Girls’ Branch), Cairo, EgyptFollow
Eman O. Abdalla, Financial Science Department, Applied College, Imam Abdulrahman Bin Faisal University, Dammam, Saudi ArabiaFollow
S. Naserelden, Financial Science Department, Applied College, Imam Abdulrahman Bin Faisal University, Dammam, Saudi ArabiaFollow

Author Country (or Countries)

Egypt

Abstract

In this paper, we introduce the Rayleigh-Poisson distribution, a generalization of the Rayleigh distribution with three parameters. The Rayleigh-Poisson distribution is more flexible than the Rayleigh distribution and can be used to model a wider range of lifetime data. The article derives closed-form expressions for several properties of the Rayleigh-Poisson distribution. The unknown model parameters are estimated and a simulation study is performed to study the behavior of the estimators. Three real datasets of COVID-19 are applied to demonstrate the Rayleigh-Poisson distribution superior performance compared to well-known lifetime distributions.

Digital Object Identifier (DOI)

https://dx.doi.org/10.18576/jsap/130218

Recommended Citation

A. Ahmed, A.; R. AL –Dayian, G.; A. EL-Helbawy, A.; O. Abdalla, Eman; and Naserelden, S. (2024) "Rayleigh-Poisson Distribution: Properties and Estimation with Applications of COVID-19 Mortality Rate," Journal of Statistics Applications & Probability: Vol. 13: Iss. 2, Article 20.
DOI: https://dx.doi.org/10.18576/jsap/130218
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol13/iss2/20