The beta burr type X distribution properties with application
We develop a new continuous distribution called the beta-Burr type X distribution that extends the Burr type X distribution. The properties provide a comprehensive mathematical treatment of this distribution. Further more, various structural properties of the new distribution are derived, that inclu...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/52952/ http://psasir.upm.edu.my/id/eprint/52952/1/The%20beta%20burr%20type%20X%20distribution%20properties%20with%20application.pdf |
| _version_ | 1848852181616164864 |
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| author | Merovci, Faton Khaleel, Mundher Abdullah Ibrahim, Noor Akma Shitan, Mahendran |
| author_facet | Merovci, Faton Khaleel, Mundher Abdullah Ibrahim, Noor Akma Shitan, Mahendran |
| author_sort | Merovci, Faton |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We develop a new continuous distribution called the beta-Burr type X distribution that extends the Burr type X distribution. The properties provide a comprehensive mathematical treatment of this distribution. Further more, various structural properties of the new distribution are derived, that includes moment generating function and the rth moment thus generalizing some results in the literature. We also obtain expressions for the density, moment generating function and rth moment of the order statistics. We consider the maximum likelihood estimation to estimate the parameters. Additionally, the asymptotic confidence intervals for the parameters are derived from the Fisher information matrix. Finally, simulation study is carried at under varying sample size to assess the performance of this model. Illustration the real dataset indicates that this new distribution can serve as a good alternative model to model positive real data in many areas. |
| first_indexed | 2025-11-15T10:34:00Z |
| format | Article |
| id | upm-52952 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:34:00Z |
| publishDate | 2016 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-529522017-11-23T07:55:18Z http://psasir.upm.edu.my/id/eprint/52952/ The beta burr type X distribution properties with application Merovci, Faton Khaleel, Mundher Abdullah Ibrahim, Noor Akma Shitan, Mahendran We develop a new continuous distribution called the beta-Burr type X distribution that extends the Burr type X distribution. The properties provide a comprehensive mathematical treatment of this distribution. Further more, various structural properties of the new distribution are derived, that includes moment generating function and the rth moment thus generalizing some results in the literature. We also obtain expressions for the density, moment generating function and rth moment of the order statistics. We consider the maximum likelihood estimation to estimate the parameters. Additionally, the asymptotic confidence intervals for the parameters are derived from the Fisher information matrix. Finally, simulation study is carried at under varying sample size to assess the performance of this model. Illustration the real dataset indicates that this new distribution can serve as a good alternative model to model positive real data in many areas. SpringerOpen 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/52952/1/The%20beta%20burr%20type%20X%20distribution%20properties%20with%20application.pdf Merovci, Faton and Khaleel, Mundher Abdullah and Ibrahim, Noor Akma and Shitan, Mahendran (2016) The beta burr type X distribution properties with application. SpringerPlus, 5 (697). pp. 1-18. ISSN 2193-1801 http://www.springerplus.com 10.1186/s40064-016-2271-9 |
| spellingShingle | Merovci, Faton Khaleel, Mundher Abdullah Ibrahim, Noor Akma Shitan, Mahendran The beta burr type X distribution properties with application |
| title | The beta burr type X distribution properties with application |
| title_full | The beta burr type X distribution properties with application |
| title_fullStr | The beta burr type X distribution properties with application |
| title_full_unstemmed | The beta burr type X distribution properties with application |
| title_short | The beta burr type X distribution properties with application |
| title_sort | beta burr type x distribution properties with application |
| url | http://psasir.upm.edu.my/id/eprint/52952/ http://psasir.upm.edu.my/id/eprint/52952/ http://psasir.upm.edu.my/id/eprint/52952/ http://psasir.upm.edu.my/id/eprint/52952/1/The%20beta%20burr%20type%20X%20distribution%20properties%20with%20application.pdf |