Journal of Statistics Applications & Probability

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The Rayleigh distribution incorporate the lifetime of an object or a service time. In this paper, a new model, called, Power Rayleigh distribution (PR) is submitted for specifying the confirmed total deaths of Corona virus (Covid-19) in Egypt. Statistical and reliability properties of the PR distribution such as survival function, failure rate function, mean residual life, order statistic and extreme value distribution are deduced and studied. Maximum likelihood method is used to evaluate the unknown parameters. Simulation Schemes are introduced. Finally, two sets of real-life data are construed and observed that the new model can provide a best fit to water runoff data and the total deaths of Covid-19 data than other well-known distributions.

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