The gamma extended Weibull family of distributions
We introduce a new family of distributions called the gamma extended Weibull family. The proposed family includes several well-known models as special cases and defines at least seventeen new special models. Structural properties of this family are studied. Additionally, the maximum likelihood metho...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2014-03-01
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| Series: | Journal of Statistical Theory and Applications (JSTA) |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/11607.pdf |
| _version_ | 1828278389936488448 |
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| author | Abraao D.C. Nascimento Marcelo Bourguignon Luz M. Zea Manoel Santos-Neto Rodrigo B. Silva Gauss M. Cordeiro |
| author_facet | Abraao D.C. Nascimento Marcelo Bourguignon Luz M. Zea Manoel Santos-Neto Rodrigo B. Silva Gauss M. Cordeiro |
| author_sort | Abraao D.C. Nascimento |
| collection | DOAJ |
| description | We introduce a new family of distributions called the gamma extended Weibull family. The proposed family includes several well-known models as special cases and defines at least seventeen new special models. Structural properties of this family are studied. Additionally, the maximum likelihood method for estimating the model parameters is discussed. An application to real data illustrates the usefulness of the new family. The results provide evidence that the proposed family outperforms other classes of lifetime models. |
| first_indexed | 2024-04-13T07:30:32Z |
| format | Article |
| id | doaj.art-b84e00dfc96245b4ab560353df748547 |
| institution | Directory Open Access Journal |
| issn | 1538-7887 |
| language | English |
| last_indexed | 2024-04-13T07:30:32Z |
| publishDate | 2014-03-01 |
| publisher | Springer |
| record_format | Article |
| series | Journal of Statistical Theory and Applications (JSTA) |
| spelling | doaj.art-b84e00dfc96245b4ab560353df7485472022-12-22T02:56:22ZengSpringerJournal of Statistical Theory and Applications (JSTA)1538-78872014-03-0113110.2991/jsta.2014.13.1.1The gamma extended Weibull family of distributionsAbraao D.C. NascimentoMarcelo BourguignonLuz M. ZeaManoel Santos-NetoRodrigo B. SilvaGauss M. CordeiroWe introduce a new family of distributions called the gamma extended Weibull family. The proposed family includes several well-known models as special cases and defines at least seventeen new special models. Structural properties of this family are studied. Additionally, the maximum likelihood method for estimating the model parameters is discussed. An application to real data illustrates the usefulness of the new family. The results provide evidence that the proposed family outperforms other classes of lifetime models.https://www.atlantis-press.com/article/11607.pdfExtended Weibull distributions; Hazard rate function; Maximum likelihood estimation; Moments; Stacy’s generalized gamma distribution |
| spellingShingle | Abraao D.C. Nascimento Marcelo Bourguignon Luz M. Zea Manoel Santos-Neto Rodrigo B. Silva Gauss M. Cordeiro The gamma extended Weibull family of distributions Journal of Statistical Theory and Applications (JSTA) Extended Weibull distributions; Hazard rate function; Maximum likelihood estimation; Moments; Stacy’s generalized gamma distribution |
| title | The gamma extended Weibull family of distributions |
| title_full | The gamma extended Weibull family of distributions |
| title_fullStr | The gamma extended Weibull family of distributions |
| title_full_unstemmed | The gamma extended Weibull family of distributions |
| title_short | The gamma extended Weibull family of distributions |
| title_sort | gamma extended weibull family of distributions |
| topic | Extended Weibull distributions; Hazard rate function; Maximum likelihood estimation; Moments; Stacy’s generalized gamma distribution |
| url | https://www.atlantis-press.com/article/11607.pdf |
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