Journal of Statistics Applications & Probability

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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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