The four-parameter Fréchet distribution: Properties and applications | [Pakistan Journal of Statistics and Operation Research • 2020]

Author(s):

1. M. S. Hamed: Management Information System Department, Taibah University, Saudi Arabia; Department of Statistics, Mathematics and Insurance Benha University, Egypt

2. Fahad Aldossary: Management Information System Department, Taibah University, Saudi Arabia

3. 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.

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

Keywords:

Odd LomaxG class , Order Statistics , Fréchet distribution , maximum likelihood estimation

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