A new exponentiated beta Burr type X distribution: model, theory, and applications
In recent years, many attempts have been carried out to develop the Burr type X distribution, which is widely used in fitting lifetime data. These extended Burr type X distributions can model the hazard function in decreasing, increasing and bathtub shapes, except for unimodal. Hence, this paper aim...
| Main Authors: | , , , , |
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| Format: | Article |
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Penerbit UKM
2022
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| Online Access: | http://psasir.upm.edu.my/id/eprint/100243/ |
| _version_ | 1848863272767324160 |
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| author | Oh, Yit Leng Lim, Fong Peng Chen, Chuei Yee Ling, Wendy Shinyie Loh, Yue Fang |
| author_facet | Oh, Yit Leng Lim, Fong Peng Chen, Chuei Yee Ling, Wendy Shinyie Loh, Yue Fang |
| author_sort | Oh, Yit Leng |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In recent years, many attempts have been carried out to develop the Burr type X distribution, which is widely used in fitting lifetime data. These extended Burr type X distributions can model the hazard function in decreasing, increasing and bathtub shapes, except for unimodal. Hence, this paper aims to introduce a new continuous distribution, namely exponentiated beta Burr type X distribution, which provides greater flexibility in order to overcome the deficiency of the existing extended Burr type X distributions. We first present its density and cumulative function expressions. It is then followed by the mathematical properties of this new distribution, which include its limit behaviour, quantile function, moment, moment generating function, and order statistics. We use maximum likelihood approach to estimate the parameters and their performance is assessed via a simulation study with varying parameter values and sample sizes. Lastly, we use two real data sets to illustrate the performance and flexibility of the proposed distribution. The results show that the proposed distribution gives better fits in modelling lifetime data compared to its sub-models and some extended Burr type X distributions. Besides, it is very competitive and can be used as an alternative model to some nonnested models. In summary, the proposed distribution is very flexible and able to model various shaped hazard functions, including the increasing, decreasing, bathtub, and unimodal. |
| first_indexed | 2025-11-15T13:30:17Z |
| format | Article |
| id | upm-100243 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:30:17Z |
| publishDate | 2022 |
| publisher | Penerbit UKM |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1002432024-03-18T05:05:53Z http://psasir.upm.edu.my/id/eprint/100243/ A new exponentiated beta Burr type X distribution: model, theory, and applications Oh, Yit Leng Lim, Fong Peng Chen, Chuei Yee Ling, Wendy Shinyie Loh, Yue Fang In recent years, many attempts have been carried out to develop the Burr type X distribution, which is widely used in fitting lifetime data. These extended Burr type X distributions can model the hazard function in decreasing, increasing and bathtub shapes, except for unimodal. Hence, this paper aims to introduce a new continuous distribution, namely exponentiated beta Burr type X distribution, which provides greater flexibility in order to overcome the deficiency of the existing extended Burr type X distributions. We first present its density and cumulative function expressions. It is then followed by the mathematical properties of this new distribution, which include its limit behaviour, quantile function, moment, moment generating function, and order statistics. We use maximum likelihood approach to estimate the parameters and their performance is assessed via a simulation study with varying parameter values and sample sizes. Lastly, we use two real data sets to illustrate the performance and flexibility of the proposed distribution. The results show that the proposed distribution gives better fits in modelling lifetime data compared to its sub-models and some extended Burr type X distributions. Besides, it is very competitive and can be used as an alternative model to some nonnested models. In summary, the proposed distribution is very flexible and able to model various shaped hazard functions, including the increasing, decreasing, bathtub, and unimodal. Penerbit UKM 2022-01 Article PeerReviewed Oh, Yit Leng and Lim, Fong Peng and Chen, Chuei Yee and Ling, Wendy Shinyie and Loh, Yue Fang (2022) A new exponentiated beta Burr type X distribution: model, theory, and applications. Sains Malaysiana, 52 (1). pp. 281-294. ISSN 0126-6039; ESSN: 2735-0118 http://www.ukm.edu.my/jsm/english_journals/vol52num1_2023/vol52num1_2023pg281-294.html 10.17576/jsm-2023-5201-23 |
| spellingShingle | Oh, Yit Leng Lim, Fong Peng Chen, Chuei Yee Ling, Wendy Shinyie Loh, Yue Fang A new exponentiated beta Burr type X distribution: model, theory, and applications |
| title | A new exponentiated beta Burr type X distribution: model, theory, and applications |
| title_full | A new exponentiated beta Burr type X distribution: model, theory, and applications |
| title_fullStr | A new exponentiated beta Burr type X distribution: model, theory, and applications |
| title_full_unstemmed | A new exponentiated beta Burr type X distribution: model, theory, and applications |
| title_short | A new exponentiated beta Burr type X distribution: model, theory, and applications |
| title_sort | new exponentiated beta burr type x distribution: model, theory, and applications |
| url | http://psasir.upm.edu.my/id/eprint/100243/ http://psasir.upm.edu.my/id/eprint/100243/ http://psasir.upm.edu.my/id/eprint/100243/ |