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...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57205/1/Some%20properties%20of%20Gamma%20Burr%20type%20X%20distribution%20with%20application.pdf |
| _version_ | 1796976644465885184 |
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| author | Khaleel, Mundher Abdullah Ibrahim, Noor Akma Shitan, Mahendran Merovci, Faton |
| author_facet | Khaleel, Mundher Abdullah Ibrahim, Noor Akma Shitan, Mahendran Merovci, Faton |
| author_sort | Khaleel, Mundher Abdullah |
| collection | UPM |
| 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. |
| first_indexed | 2024-03-06T09:28:41Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57205 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:28:41Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Khaleel, Mundher Abdullah Ibrahim, Noor Akma Shitan, Mahendran Merovci, Faton Some properties of Gamma Burr type X distribution with application |
| title | 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_short | Some properties of Gamma Burr type X distribution with application |
| title_sort | some properties of gamma burr type x distribution with application |
| url | http://psasir.upm.edu.my/id/eprint/57205/1/Some%20properties%20of%20Gamma%20Burr%20type%20X%20distribution%20with%20application.pdf |
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