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The four-parameter Fréchet distribution: Properties and applications


Article Information

Title: The four-parameter Fréchet distribution: Properties and applications

Authors: Mohamed Hamed, Fahad Aldossary, Ahmed Z. Afify

Journal: Pakistan Journal of Statistics and Operation Research

HEC Recognition History
Category From To
Y 2020-07-01 2021-06-30

Publisher: Asiatic Region

Country: Pakistan

Year: 2020

Volume: 16

Issue: 2

Language: English

DOI: 10.18187/pjsor.v16i2.3097

Keywords: Fréchet DistributionMaximum likelihood estimationOdd Lomax-G classOrder statistics

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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.

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