The Exponentiated Fréchet Generator of Distributions with Applications
In this article, we introduce the exponentiated Fréchet-G family of distributions. Several models of the introduced exponentiated Fréchet-G family are presented. The proposed family is precisely more flexible and effective in modeling complex data and is instrumental in reliability analysis. It cove...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-03-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/13/4/572 |
| _version_ | 1797539471206383616 |
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| author | Lamya A. Baharith Hanan H. Alamoudi |
| author_facet | Lamya A. Baharith Hanan H. Alamoudi |
| author_sort | Lamya A. Baharith |
| collection | DOAJ |
| description | In this article, we introduce the exponentiated Fréchet-G family of distributions. Several models of the introduced exponentiated Fréchet-G family are presented. The proposed family is precisely more flexible and effective in modeling complex data and is instrumental in reliability analysis. It covers a wide variety of shapes, such as unimodal, reverse J, right-skewed, symmetrical, and asymmetrical shapes. Various structural mathematical properties, such as the quantile, moment, incomplete moment, entropy, and order statistics, are derived. The parameters are evaluated using a parametric estimation method. The performance and flexibility of the exponentiated Fréchet-G family are analyzed via a simulation and two applications; one deals with reliability data, and the other deals with medical data. |
| first_indexed | 2024-03-10T12:46:25Z |
| format | Article |
| id | doaj.art-52e7779e3c814b51ba8712b742346f15 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T12:46:25Z |
| publishDate | 2021-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-52e7779e3c814b51ba8712b742346f152023-11-21T13:28:27ZengMDPI AGSymmetry2073-89942021-03-0113457210.3390/sym13040572The Exponentiated Fréchet Generator of Distributions with ApplicationsLamya A. Baharith0Hanan H. Alamoudi1Department of Statistics, Faculty Science, King Abdul-Aziz University, Jeddah 21589, Saudi ArabiaDepartment of Statistics, Faculty Science, King Abdul-Aziz University, Jeddah 21589, Saudi ArabiaIn this article, we introduce the exponentiated Fréchet-G family of distributions. Several models of the introduced exponentiated Fréchet-G family are presented. The proposed family is precisely more flexible and effective in modeling complex data and is instrumental in reliability analysis. It covers a wide variety of shapes, such as unimodal, reverse J, right-skewed, symmetrical, and asymmetrical shapes. Various structural mathematical properties, such as the quantile, moment, incomplete moment, entropy, and order statistics, are derived. The parameters are evaluated using a parametric estimation method. The performance and flexibility of the exponentiated Fréchet-G family are analyzed via a simulation and two applications; one deals with reliability data, and the other deals with medical data.https://www.mdpi.com/2073-8994/13/4/572probability distributionsexponentiated Fréchet distributionorder statisticsentropy |
| spellingShingle | Lamya A. Baharith Hanan H. Alamoudi The Exponentiated Fréchet Generator of Distributions with Applications Symmetry probability distributions exponentiated Fréchet distribution order statistics entropy |
| title | The Exponentiated Fréchet Generator of Distributions with Applications |
| title_full | The Exponentiated Fréchet Generator of Distributions with Applications |
| title_fullStr | The Exponentiated Fréchet Generator of Distributions with Applications |
| title_full_unstemmed | The Exponentiated Fréchet Generator of Distributions with Applications |
| title_short | The Exponentiated Fréchet Generator of Distributions with Applications |
| title_sort | exponentiated frechet generator of distributions with applications |
| topic | probability distributions exponentiated Fréchet distribution order statistics entropy |
| url | https://www.mdpi.com/2073-8994/13/4/572 |
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