The Gumbel- Pareto Distribution: Theory and Applications
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 estima...
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| Format: | Article |
| Language: | English |
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University of Baghdad, College of Science for Women
2019-12-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4510 |
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| author | Saad et al. |
| author_facet | Saad et al. |
| author_sort | Saad et al. |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ed55defb4ac04bd69aa944728ad1e952 |
| institution | DOAJ |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2019-12-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-ed55defb4ac04bd69aa944728ad1e9522025-08-20T03:22:42ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862019-12-0116410.21123/bsj.2019.16.4.0937The Gumbel- Pareto Distribution: Theory and ApplicationsSaad et al.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.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4510Gumbel distribution, Hazard function, Maximum likelihood estimation, Moments, Pareto distribution, Quantile function, T-X method. |
| spellingShingle | Saad et al. The Gumbel- Pareto Distribution: Theory and Applications مجلة بغداد للعلوم Gumbel distribution, Hazard function, Maximum likelihood estimation, Moments, Pareto distribution, Quantile function, T-X method. |
| title | The Gumbel- Pareto Distribution: Theory and Applications |
| title_full | The Gumbel- Pareto Distribution: Theory and Applications |
| title_fullStr | The Gumbel- Pareto Distribution: Theory and Applications |
| title_full_unstemmed | The Gumbel- Pareto Distribution: Theory and Applications |
| title_short | The Gumbel- Pareto Distribution: Theory and Applications |
| title_sort | gumbel pareto distribution theory and applications |
| topic | Gumbel distribution, Hazard function, Maximum likelihood estimation, Moments, Pareto distribution, Quantile function, T-X method. |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4510 |
| work_keys_str_mv | AT saadetal thegumbelparetodistributiontheoryandapplications AT saadetal gumbelparetodistributiontheoryandapplications |