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 |
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Elsevier
2018
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Online Access: | http://psasir.upm.edu.my/id/eprint/75072/1/New%20extension%20of%20Burr%20type%20X%20distribution%20properties%20with%20application.pdf |
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author | Abdullah Khaleel, Mundher Ibrahim, Noor Akma Shitan, Mahendran Merovci, Faton |
author_facet | Abdullah Khaleel, Mundher Ibrahim, Noor Akma Shitan, Mahendran Merovci, Faton |
author_sort | Abdullah Khaleel, Mundher |
collection | UPM |
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. |
first_indexed | 2024-03-06T10:14:07Z |
format | Article |
id | upm.eprints-75072 |
institution | Universiti Putra Malaysia |
language | English |
last_indexed | 2024-03-06T10:14:07Z |
publishDate | 2018 |
publisher | Elsevier |
record_format | dspace |
spelling | upm.eprints-750722019-11-28T04:58:40Z http://psasir.upm.edu.my/id/eprint/75072/ New extension of Burr type X distribution properties with application Abdullah Khaleel, Mundher Ibrahim, Noor Akma Shitan, Mahendran Merovci, Faton 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. Elsevier 2018-10 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/75072/1/New%20extension%20of%20Burr%20type%20X%20distribution%20properties%20with%20application.pdf Abdullah Khaleel, Mundher and Ibrahim, Noor Akma and Shitan, Mahendran and Merovci, Faton (2018) New extension of Burr type X distribution properties with application. Journal of King Saud University - Science, 30 (4). 450 - 457. ISSN 1018-3647; ESSN: 2213-686X https://www.sciencedirect.com/science/article/pii/S1018364717300083 10.1016/j.jksus.2017.05.007 |
spellingShingle | Abdullah Khaleel, Mundher Ibrahim, Noor Akma Shitan, Mahendran Merovci, Faton New extension of Burr type X distribution properties with application |
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://psasir.upm.edu.my/id/eprint/75072/1/New%20extension%20of%20Burr%20type%20X%20distribution%20properties%20with%20application.pdf |
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