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Rayleigh-Poisson Distribution: Properties and Estimation with Applications of COVID-19 Mortality Rate |
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PP: 813-832 |
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doi:10.18576/jsap/130218
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Author(s) |
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A. A. Ahmed,
G. R. AL –Dayian,
A. A. EL-Helbawy,
Eman O. Abdalla,
S. Naserelden,
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Abstract |
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| 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.
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