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Statistics In Transition

Article | 20-September-2020

Statistical Properties and Estimation of Power-Transmuted Inverse Rayleigh Distribution

A three-parameter continuous distribution is constructed, using a power transformation related to the transmuted inverse Rayleigh (TIR) distribution. A comprehensive account of the statistical properties is provided, including the following: the quantile function, moments, incomplete moments, mean residual life function and Rényi entropy. Three classical procedures for estimating population parameters are analysed. A simulation study is provided to compare the performance of different

Amal S. Hassan, Salwa M. Assar, Ahmed M. Abdelghaffar

Statistics in Transition New Series, Volume 21 , ISSUE 3, 93–107