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Some properties of Gamma Burr type X distribution with application

We develop a new continuous distribution called the Gamma-Burr type X (GBX) distribution that extends the Burr type X distribution that has increasing, decreasing and bathtub shapes for the hazard function. Various structural properties of this new distribution are provide, that includes the limit b...

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Main Authors: Khaleel, Mundher Abdullah, Ibrahim, Noor Akma, Shitan, Mahendran, Merovci, Faton
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2016
Online Access:http://psasir.upm.edu.my/id/eprint/57205/1/Some%20properties%20of%20Gamma%20Burr%20type%20X%20distribution%20with%20application.pdf
http://psasir.upm.edu.my/id/eprint/57205/
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spelling my.upm.eprints.572052017-09-26T03:43:20Z http://psasir.upm.edu.my/id/eprint/57205/ Some properties of Gamma Burr type X distribution with application Khaleel, Mundher Abdullah Ibrahim, Noor Akma Shitan, Mahendran Merovci, Faton We develop a new continuous distribution called the Gamma-Burr type X (GBX) distribution that extends the Burr type X distribution that has increasing, decreasing and bathtub shapes for the hazard function. Various structural properties of this new distribution are provide, that includes the limit behavior, Quantile function and sub-models. From the generalization of the probability density function and cumulative distribution function of this distribution, the expression for the rth moment, moment generating function, Rényi entropy, and the order statistics can be established. We considered the maximum likelihood estimation to estimate the parameters. A real data set is applied to illustrate the usefulness of the GBX distribution. This new distribution will serve as an alternative model to other models available in the literature for modeling positive real data in many areas. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57205/1/Some%20properties%20of%20Gamma%20Burr%20type%20X%20distribution%20with%20application.pdf Khaleel, Mundher Abdullah and Ibrahim, Noor Akma and Shitan, Mahendran and Merovci, Faton (2016) Some properties of Gamma Burr type X distribution with application. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-8). 10.1063/1.4952567
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description We develop a new continuous distribution called the Gamma-Burr type X (GBX) distribution that extends the Burr type X distribution that has increasing, decreasing and bathtub shapes for the hazard function. Various structural properties of this new distribution are provide, that includes the limit behavior, Quantile function and sub-models. From the generalization of the probability density function and cumulative distribution function of this distribution, the expression for the rth moment, moment generating function, Rényi entropy, and the order statistics can be established. We considered the maximum likelihood estimation to estimate the parameters. A real data set is applied to illustrate the usefulness of the GBX distribution. This new distribution will serve as an alternative model to other models available in the literature for modeling positive real data in many areas.
format Conference or Workshop Item
author Khaleel, Mundher Abdullah
Ibrahim, Noor Akma
Shitan, Mahendran
Merovci, Faton
spellingShingle Khaleel, Mundher Abdullah
Ibrahim, Noor Akma
Shitan, Mahendran
Merovci, Faton
Some properties of Gamma Burr type X distribution with application
author_facet Khaleel, Mundher Abdullah
Ibrahim, Noor Akma
Shitan, Mahendran
Merovci, Faton
author_sort Khaleel, Mundher Abdullah
title Some properties of Gamma Burr type X distribution with application
title_short Some properties of Gamma Burr type X distribution with application
title_full Some properties of Gamma Burr type X distribution with application
title_fullStr Some properties of Gamma Burr type X distribution with application
title_full_unstemmed Some properties of Gamma Burr type X distribution with application
title_sort some properties of gamma burr type x distribution with application
publisher AIP Publishing
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/57205/1/Some%20properties%20of%20Gamma%20Burr%20type%20X%20distribution%20with%20application.pdf
http://psasir.upm.edu.my/id/eprint/57205/
_version_ 1643836417819803648
score 13.211869

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