New extension of Burr type X distribution properties with application
We introduce a new distribution named Exponentiated Generalized Burr type X (EGBX) distribution with four parameters. This new model can be expressed as a mixture of Burr type X (BX) distribution with different parameters. Several sub models are investigated and also some important structure propert...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2018-10-01
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| Series: | Journal of King Saud University: Science |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364717300083 |
| _version_ | 1818504103083376640 |
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| author | Mundher Abdullah Khaleel Noor Akma Ibrahim Mahendran Shitan Faton Merovci |
| author_facet | Mundher Abdullah Khaleel Noor Akma Ibrahim Mahendran Shitan Faton Merovci |
| author_sort | Mundher Abdullah Khaleel |
| collection | DOAJ |
| description | We introduce a new distribution named Exponentiated Generalized Burr type X (EGBX) distribution with four parameters. This new model can be expressed as a mixture of Burr type X (BX) distribution with different parameters. Several sub models are investigated and also some important structure properties of new model are derived including the quantile function, limit behavior, the rth moment, the moment-generating function, Rényi entropy, and order statistics. We estimate the parameters using the maximum likelihood estimation. Finally, simulation study is carried at under varying sample size to assess the performance of this model, the flexibility of EGBX distribution is illustrated by using real data set. Keywords: Burr type X, Exponentiated generalized, Quantile function, Moment, Estimation |
| first_indexed | 2024-12-10T21:32:34Z |
| format | Article |
| id | doaj.art-d4cd9983bf83445a80b93f960d1d0f58 |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-12-10T21:32:34Z |
| publishDate | 2018-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-d4cd9983bf83445a80b93f960d1d0f582022-12-22T01:32:45ZengElsevierJournal of King Saud University: Science1018-36472018-10-01304450457New extension of Burr type X distribution properties with applicationMundher Abdullah Khaleel0Noor Akma Ibrahim1Mahendran Shitan2Faton Merovci3Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Selangor, Malaysia; Department of Mathematics, Faculty of Computer Science and Mathematics, University of Tikrit, IraqDepartment of Mathematics, Faculty of Science, Universiti Putra Malaysia, Selangor, Malaysia; Laboratory of Computational Statistics and Operations Research, Institute for Mathematical Research, Universiti Putra, MalaysiaDepartment of Mathematics, Faculty of Science, Universiti Putra Malaysia, Selangor, Malaysia; Laboratory of Computational Statistics and Operations Research, Institute for Mathematical Research, Universiti Putra, MalaysiaFaculty of Mechanical and Computer Engineering, University of Mitrovica “Isa Boletini”, Kosovo; Corresponding author.We introduce a new distribution named Exponentiated Generalized Burr type X (EGBX) distribution with four parameters. This new model can be expressed as a mixture of Burr type X (BX) distribution with different parameters. Several sub models are investigated and also some important structure properties of new model are derived including the quantile function, limit behavior, the rth moment, the moment-generating function, Rényi entropy, and order statistics. We estimate the parameters using the maximum likelihood estimation. Finally, simulation study is carried at under varying sample size to assess the performance of this model, the flexibility of EGBX distribution is illustrated by using real data set. Keywords: Burr type X, Exponentiated generalized, Quantile function, Moment, Estimationhttp://www.sciencedirect.com/science/article/pii/S1018364717300083 |
| spellingShingle | Mundher Abdullah Khaleel Noor Akma Ibrahim Mahendran Shitan Faton Merovci New extension of Burr type X distribution properties with application Journal of King Saud University: Science |
| title | New extension of Burr type X distribution properties with application |
| title_full | New extension of Burr type X distribution properties with application |
| title_fullStr | New extension of Burr type X distribution properties with application |
| title_full_unstemmed | New extension of Burr type X distribution properties with application |
| title_short | New extension of Burr type X distribution properties with application |
| title_sort | new extension of burr type x distribution properties with application |
| url | http://www.sciencedirect.com/science/article/pii/S1018364717300083 |
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