The Gumbel- Pareto Distribution: Theory and Applications

Saad et al.

doi:10.21123/bsj.2019.16.4.0937

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Published: Dec 1, 2019

DOI: https://doi.org/10.21123/bsj.2019.16.4.0937

Keywords:

Gumbel distribution, Hazard function, Maximum likelihood estimation, Moments, Pareto distribution, Quantile function, T-X method.

Saad et al.

Abstract

In this paper, for the first time we introduce a new four-parameter model called the Gumbel- Pareto distribution by using the T-X method. We obtain some of its mathematical properties. Some structural properties of the new distribution are studied. The method of maximum likelihood is used for estimating the model parameters. Numerical illustration and an application to a real data set are given to show the flexibility and potentiality of the new model.

Received 15/1/2019, Accepted 11/4/2019, Published 1/12/2019

How to Cite

The Gumbel- Pareto Distribution: Theory and Applications. Baghdad Sci.J [Internet]. 2019 Dec. 1 [cited 2024 Apr. 26];16(4):0937. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4510

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Vol. 16 No. 4 (2019): Issue 4

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P-ISSN: 2078-8665 | E-ISSN: 2411-7986

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Journal: Baghdad Science Journal
Publisher: College of Science for Women/ University of Baghdad
Baghdad Sci. J. is peer-reviewed and open access
Print ISSN: 2078-8665
Electronic ISSN: 2411-7986
Publishing Frequency: Quarterly (from 2004 - 2021) Bi-monthly (from 2022) Monthly (from 2024)
Launched Date: 2004
Abbreviation: Baghdad Sci.J.
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© 2022 The Author(s). Published by College of Science for Women, University of Baghdad. This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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