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Abstract

In this work, a new extension of the Inverse Rayleigh model is proposed and studied. We derive some of its fundamental properties. We assess the performance of the maximum likelihood estimators via a simulation study. The importance of the new model is shown via two applications to real data sets. The new model is better fit than other important competitive models based on two real data sets.

Keywords

Odd Log-Logistic-G Family Rayleigh Distribution Simulation. Generating Function Maximum Likelihood

Article Details

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Author Biography

Ibrahim Elbatal, Department of Mathematics and Statistics-College of Science. Imam Mohammad Ibn Saud Islamic University (IMSIU)-Saudi Arabia

Professor of Mathematical Statistics Department of Mathematics and Statistics-College of Science. Imam Mohammad Ibn Saud Islamic University (IMSIU)-Saudi Arabia

How to Cite
Elbatal, I. (2020). The Odd Log-Logistic Poisson Inverse Rayleigh Distribution: Statistical Properties and Applications. Pakistan Journal of Statistics and Operation Research, 16(4), 775-787. https://doi.org/10.18187/pjsor.v16i4.2930
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