A New Extended-F Family: Properties and Applications to Lifetime Data
In this article, a new approach is used to introduce an additional parameter to a continuous class of distributions. The new class is referred to as a new extended-F family of distributions. The new extended-Weibull distribution, as a special submodel of this family, is discussed. General expression...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/5498638 |
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| author | Saima K. Khosa Ahmed Z. Afify Zubair Ahmad Mi Zichuan Saddam Hussain Anum Iftikhar |
| author_facet | Saima K. Khosa Ahmed Z. Afify Zubair Ahmad Mi Zichuan Saddam Hussain Anum Iftikhar |
| author_sort | Saima K. Khosa |
| collection | DOAJ |
| description | In this article, a new approach is used to introduce an additional parameter to a continuous class of distributions. The new class is referred to as a new extended-F family of distributions. The new extended-Weibull distribution, as a special submodel of this family, is discussed. General expressions for some mathematical properties of the proposed family are derived, and maximum likelihood estimators of the model parameters are obtained. Furthermore, a simulation study is provided to evaluate the validity of the maximum likelihood estimators. Finally, the flexibility of the proposed method is illustrated via two applications to real data, and the comparison is made with the Weibull and some of its well-known extensions such as Marshall–Olkin Weibull, alpha power-transformed Weibull, and Kumaraswamy Weibull distributions. |
| format | Article |
| id | doaj-art-a89b9e6ab45b4cfcb739f990bd0b036c |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-a89b9e6ab45b4cfcb739f990bd0b036c2025-02-03T06:43:59ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/54986385498638A New Extended-F Family: Properties and Applications to Lifetime DataSaima K. Khosa0Ahmed Z. Afify1Zubair Ahmad2Mi Zichuan3Saddam Hussain4Anum Iftikhar5Department of Statistics, Bahauddin Zakariya University, Multan, PakistanDepartment of Statistics, Mathematics and Insurance, Benha University, Benha, EgyptDepartment of Statistics, Yazd University, P. O. Box 89175-741, Yazd, IranSchool of Statistics, Shanxi University of Finance and Economic, Taiyuan, ChinaSchool of Statistics, Shanxi University of Finance and Economic, Taiyuan, ChinaSchool of Statistics, Shanxi University of Finance and Economic, Taiyuan, ChinaIn this article, a new approach is used to introduce an additional parameter to a continuous class of distributions. The new class is referred to as a new extended-F family of distributions. The new extended-Weibull distribution, as a special submodel of this family, is discussed. General expressions for some mathematical properties of the proposed family are derived, and maximum likelihood estimators of the model parameters are obtained. Furthermore, a simulation study is provided to evaluate the validity of the maximum likelihood estimators. Finally, the flexibility of the proposed method is illustrated via two applications to real data, and the comparison is made with the Weibull and some of its well-known extensions such as Marshall–Olkin Weibull, alpha power-transformed Weibull, and Kumaraswamy Weibull distributions.http://dx.doi.org/10.1155/2020/5498638 |
| spellingShingle | Saima K. Khosa Ahmed Z. Afify Zubair Ahmad Mi Zichuan Saddam Hussain Anum Iftikhar A New Extended-F Family: Properties and Applications to Lifetime Data Journal of Mathematics |
| title | A New Extended-F Family: Properties and Applications to Lifetime Data |
| title_full | A New Extended-F Family: Properties and Applications to Lifetime Data |
| title_fullStr | A New Extended-F Family: Properties and Applications to Lifetime Data |
| title_full_unstemmed | A New Extended-F Family: Properties and Applications to Lifetime Data |
| title_short | A New Extended-F Family: Properties and Applications to Lifetime Data |
| title_sort | new extended f family properties and applications to lifetime data |
| url | http://dx.doi.org/10.1155/2020/5498638 |
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