The Generalized Exponential Extended Exponentiated Family of Distributions: Theory, Properties, and Applications
Here, we propose a new generalized exponential extended exponentiated (NGE3) family of distributions. Some statistical properties of proposed family are gained. The most extreme probability method, maximum likelihood (ML), is utilized for parameter estimation. We explore an exceptional model called...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/19/3419 |
| _version_ | 1827654077681500160 |
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| author | Sajid Hussain Muhammad Sajid Rashid Mahmood Ul Hassan Rashid Ahmed |
| author_facet | Sajid Hussain Muhammad Sajid Rashid Mahmood Ul Hassan Rashid Ahmed |
| author_sort | Sajid Hussain |
| collection | DOAJ |
| description | Here, we propose a new generalized exponential extended exponentiated (NGE3) family of distributions. Some statistical properties of proposed family are gained. The most extreme probability method, maximum likelihood (ML), is utilized for parameter estimation. We explore an exceptional model called NGE3-Exponential (NGE3E). NGE3E is estimated with ML, and the performance of estimators is demonstrated by utilizing a simulation. Moreover, two applications are given to show the significance and adaptability of the proposed model in comparison to some generalized models (GMs). |
| first_indexed | 2024-03-09T21:28:27Z |
| format | Article |
| id | doaj.art-57c2870ecfa745f5bfb00981a3eecc7e |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T21:28:27Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-57c2870ecfa745f5bfb00981a3eecc7e2023-11-23T21:01:10ZengMDPI AGMathematics2227-73902022-09-011019341910.3390/math10193419The Generalized Exponential Extended Exponentiated Family of Distributions: Theory, Properties, and ApplicationsSajid Hussain0Muhammad Sajid Rashid1Mahmood Ul Hassan2Rashid Ahmed3Department of Statistics, The Islamia University of Bahawalpur, Bahawalpur 63100, PakistanDepartment of Computer Science, The Islamia University of Bahawalpur, Bahawalpur 63100, PakistanDepartment of Statistics, Stockholm University, SE-106 91 Stockholm, SwedenDepartment of Statistics, The Islamia University of Bahawalpur, Bahawalpur 63100, PakistanHere, we propose a new generalized exponential extended exponentiated (NGE3) family of distributions. Some statistical properties of proposed family are gained. The most extreme probability method, maximum likelihood (ML), is utilized for parameter estimation. We explore an exceptional model called NGE3-Exponential (NGE3E). NGE3E is estimated with ML, and the performance of estimators is demonstrated by utilizing a simulation. Moreover, two applications are given to show the significance and adaptability of the proposed model in comparison to some generalized models (GMs).https://www.mdpi.com/2227-7390/10/19/3419exponential distributionlambertexponentiatedfailure ratesimulationlikelihood |
| spellingShingle | Sajid Hussain Muhammad Sajid Rashid Mahmood Ul Hassan Rashid Ahmed The Generalized Exponential Extended Exponentiated Family of Distributions: Theory, Properties, and Applications Mathematics exponential distribution lambert exponentiated failure rate simulation likelihood |
| title | The Generalized Exponential Extended Exponentiated Family of Distributions: Theory, Properties, and Applications |
| title_full | The Generalized Exponential Extended Exponentiated Family of Distributions: Theory, Properties, and Applications |
| title_fullStr | The Generalized Exponential Extended Exponentiated Family of Distributions: Theory, Properties, and Applications |
| title_full_unstemmed | The Generalized Exponential Extended Exponentiated Family of Distributions: Theory, Properties, and Applications |
| title_short | The Generalized Exponential Extended Exponentiated Family of Distributions: Theory, Properties, and Applications |
| title_sort | generalized exponential extended exponentiated family of distributions theory properties and applications |
| topic | exponential distribution lambert exponentiated failure rate simulation likelihood |
| url | https://www.mdpi.com/2227-7390/10/19/3419 |
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