Exponentiated Kumaraswamy Exponentiated Weibull distribution with application
In this article, a new distribution called the Exponentiated Kumaraswamy Exponentiated Weibull (EKEW) that extends the exponentiated Weibull distribution is derived and studied. The distribution has six parameters that can be expressed as a mixture of Exponentiated Weibull (EW) distribution. We obta...
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| Format: | Article |
| Language: | English |
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Pustaka Aman Press
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/72683/ http://psasir.upm.edu.my/id/eprint/72683/1/Exponentiated%20Kumaraswamy%20Exponentiated%20Weibull%20.pdf |
| _version_ | 1848857178395377664 |
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| author | Ibrahim, Noor Akma Khaleel, Mundher Abdullah |
| author_facet | Ibrahim, Noor Akma Khaleel, Mundher Abdullah |
| author_sort | Ibrahim, Noor Akma |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this article, a new distribution called the Exponentiated Kumaraswamy Exponentiated Weibull (EKEW) that extends the exponentiated Weibull distribution is derived and studied. The distribution has six parameters that can be expressed as a mixture of Exponentiated Weibull (EW) distribution. We obtain general explicit expression for the quantile function which can be used to find some essential measures, such as Bowleys skewness and Moors kurtosis. Furthermore, the quantile function can be used to generate data for simulation study. Several sub models are determined. The parameters are estimated by using the maximum likelihood method. The finite sample properties are assessed by using simulation study. A real dataset is used to demonstrate the potentiality and flexibility of EKEW distribution. |
| first_indexed | 2025-11-15T11:53:25Z |
| format | Article |
| id | upm-72683 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:53:25Z |
| publishDate | 2018 |
| publisher | Pustaka Aman Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-726832022-08-01T20:05:41Z http://psasir.upm.edu.my/id/eprint/72683/ Exponentiated Kumaraswamy Exponentiated Weibull distribution with application Ibrahim, Noor Akma Khaleel, Mundher Abdullah In this article, a new distribution called the Exponentiated Kumaraswamy Exponentiated Weibull (EKEW) that extends the exponentiated Weibull distribution is derived and studied. The distribution has six parameters that can be expressed as a mixture of Exponentiated Weibull (EW) distribution. We obtain general explicit expression for the quantile function which can be used to find some essential measures, such as Bowleys skewness and Moors kurtosis. Furthermore, the quantile function can be used to generate data for simulation study. Several sub models are determined. The parameters are estimated by using the maximum likelihood method. The finite sample properties are assessed by using simulation study. A real dataset is used to demonstrate the potentiality and flexibility of EKEW distribution. Pustaka Aman Press 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/72683/1/Exponentiated%20Kumaraswamy%20Exponentiated%20Weibull%20.pdf Ibrahim, Noor Akma and Khaleel, Mundher Abdullah (2018) Exponentiated Kumaraswamy Exponentiated Weibull distribution with application. Jurnal KALAM: Karya Lorekan Asli Ahli Matematik, 11 (1). 15 - 22. ISSN 1985-5222 https://www.researchgate.net/publication/327534844_EXPONENTIATED_KUMARASWAMY_EXPONENTIATED_WEIBULL_DISTRIBUTION_WITH_APPLICATION |
| spellingShingle | Ibrahim, Noor Akma Khaleel, Mundher Abdullah Exponentiated Kumaraswamy Exponentiated Weibull distribution with application |
| title | Exponentiated Kumaraswamy Exponentiated Weibull distribution with application |
| title_full | Exponentiated Kumaraswamy Exponentiated Weibull distribution with application |
| title_fullStr | Exponentiated Kumaraswamy Exponentiated Weibull distribution with application |
| title_full_unstemmed | Exponentiated Kumaraswamy Exponentiated Weibull distribution with application |
| title_short | Exponentiated Kumaraswamy Exponentiated Weibull distribution with application |
| title_sort | exponentiated kumaraswamy exponentiated weibull distribution with application |
| url | http://psasir.upm.edu.my/id/eprint/72683/ http://psasir.upm.edu.my/id/eprint/72683/ http://psasir.upm.edu.my/id/eprint/72683/1/Exponentiated%20Kumaraswamy%20Exponentiated%20Weibull%20.pdf |