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...

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Main Authors: Abdullah Khaleel, Mundher, Ibrahim, Noor Akma, Shitan, Mahendran, Merovci, Faton
Format: Article
Language:English
Published: Elsevier 2018
Online Access:http://psasir.upm.edu.my/id/eprint/75072/
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
building UPM Institutional Repository
collection Online Access
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.
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institution Universiti Putra Malaysia
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spelling upm-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/
http://psasir.upm.edu.my/id/eprint/75072/
http://psasir.upm.edu.my/id/eprint/75072/
http://psasir.upm.edu.my/id/eprint/75072/1/New%20extension%20of%20Burr%20type%20X%20distribution%20properties%20with%20application.pdf