A new Three-parameter Fréchet Distribution: Properties and Applications.

Mahmoud M Mansour; Enayat M Abd Elrazik; Emrah Altun; AhmedZ Afify; Zafar Iqbal

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A new Three-parameter Fréchet Distribution: Properties and Applications.

Author(s)

Mahmoud M Mansour Management Information System Department, Yanbu, Taibah University, Saudi Arabia; Department of Statistics, Mathematics and Insurance, Benha University, Egypt

Enayat M Abd Elrazik Management Information System Department, Yanbu, Taibah University, Saudi Arabia; Department of Statistics, Mathematics and Insurance, Benha University, Egypt

Emrah Altun Department of Statistics, Bartin University, Bartin, Turkey

AhmedZ Afify Department of Statistics, Mathematics and Insurance, Benha University, Egypt

Zafar Iqbal Government College Satellite Town, Gujranwala, Pakistan

Abstract

In this article, we propose a new three-parameter Fréchet distribution named the Odd Lindley Fréchet distribution. The new model can be expressed as a linear mixture of Fréchet densities. We provide some of its mathematical properties. Theestimation of the model parameters is performed by the maximum likelihood method.The importance and usefulness of the proposed distribution for modeling data are illustrated using two real data sets by comparison with some other extentions of the Fréchet distribution.

Publication Details

Page(s) 441-458

DOI DOI not available

Published Journal: Pakistan Journal of Statistics, Volume: 34, Issue: 6, Year: 2018

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