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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...

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Autores principales: Merovci, Faton, Khaleel, Mundher Abdullah, Ibrahim, Noor Akma, Shitan, Mahendran
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4899377/
https://www.ncbi.nlm.nih.gov/pubmed/27347471
http://dx.doi.org/10.1186/s40064-016-2271-9
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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
collection PubMed
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.
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spelling pubmed-48993772016-06-24 The beta Burr type X distribution properties with application Merovci, Faton Khaleel, Mundher Abdullah Ibrahim, Noor Akma Shitan, Mahendran Springerplus Research 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. Springer International Publishing 2016-05-20 /pmc/articles/PMC4899377/ /pubmed/27347471 http://dx.doi.org/10.1186/s40064-016-2271-9 Text en © The Author(s). 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
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
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4899377/
https://www.ncbi.nlm.nih.gov/pubmed/27347471
http://dx.doi.org/10.1186/s40064-016-2271-9
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