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The four-parameter Fréchet distribution: Properties and applications

Author(s)
M. S. Hamed Management Information System Department, Taibah University, Saudi Arabia; Department of Statistics, Mathematics and Insurance Benha University, Egypt
Fahad Aldossary Management Information System Department, Taibah University, Saudi Arabia
Ahmed Z. Afify Department of Statistics, Mathematics and Insurance, Benha University, Egypt
Abstract
In this article, we propose a new four-parameter Fréchet distribution called the odd Lomax Fréchet distribution. The new model can be expressed as a linear mixture of Fréchet densities. We provide some of its mathematical properties. The estimation of the model parameters is performed by the maximum likelihood method. We illustrate the good performance of the maximum likelihood estimates via a detailed numerical simulation study. The importance and usefulness of the proposed distribution for modeling data are illustrated using two real data applications.
Publication Details
Page(s) 249-264
DOI 10.18187/pjsor.v16i2.3097
Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 16, Issue: 2, Year: 2020

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Keywords
Odd Lomax-G class, Order Statistics, Fréchet distribution, maximum likelihood estimation
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