On a new transmuted three-parameter lindley distribution and its applications
In this paper, a new transmuted three-parameter Lindley distribution (TTHPLD) is established using the transmutation map method, which includes the Lindley distribution, two-parameter Lindley distribution, transmuted two-parameter Lindley distribution and three-parameter Lindley distribution as spec...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2024
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| Online Access: | http://journalarticle.ukm.my/24130/ http://journalarticle.ukm.my/24130/1/SME%2016.pdf |
| _version_ | 1848816020230242304 |
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| author | Xi, Yuhang Lu, Hezhi Liang, Fei |
| author_facet | Xi, Yuhang Lu, Hezhi Liang, Fei |
| author_sort | Xi, Yuhang |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | In this paper, a new transmuted three-parameter Lindley distribution (TTHPLD) is established using the transmutation map method, which includes the Lindley distribution, two-parameter Lindley distribution, transmuted two-parameter Lindley distribution and three-parameter Lindley distribution as special cases. The statistical properties of the TTHPLD model, which are based on moments, order statistics, hazard rate functions, reliability functions, and Renyi entropy, have been studied. Moreover, the maximum likelihood estimators (MLEs) of the TTHPLD are obtained via differential evolution algorithms, and a simulation study is conducted to evaluate the consistency of the MLEs. Finally, the proposed distribution is applied to a real dataset and compared with other well-known models. |
| first_indexed | 2025-11-15T00:59:14Z |
| format | Article |
| id | oai:generic.eprints.org:24130 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T00:59:14Z |
| publishDate | 2024 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:241302024-09-11T03:42:34Z http://journalarticle.ukm.my/24130/ On a new transmuted three-parameter lindley distribution and its applications Xi, Yuhang Lu, Hezhi Liang, Fei In this paper, a new transmuted three-parameter Lindley distribution (TTHPLD) is established using the transmutation map method, which includes the Lindley distribution, two-parameter Lindley distribution, transmuted two-parameter Lindley distribution and three-parameter Lindley distribution as special cases. The statistical properties of the TTHPLD model, which are based on moments, order statistics, hazard rate functions, reliability functions, and Renyi entropy, have been studied. Moreover, the maximum likelihood estimators (MLEs) of the TTHPLD are obtained via differential evolution algorithms, and a simulation study is conducted to evaluate the consistency of the MLEs. Finally, the proposed distribution is applied to a real dataset and compared with other well-known models. Penerbit Universiti Kebangsaan Malaysia 2024 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/24130/1/SME%2016.pdf Xi, Yuhang and Lu, Hezhi and Liang, Fei (2024) On a new transmuted three-parameter lindley distribution and its applications. Sains Malaysiana, 53 (6). pp. 1427-1440. ISSN 0126-6039 https://www.ukm.my/jsm/english_journals/vol53num6_2024/contentsVol53num6_2024.html |
| spellingShingle | Xi, Yuhang Lu, Hezhi Liang, Fei On a new transmuted three-parameter lindley distribution and its applications |
| title | On a new transmuted three-parameter lindley distribution and its applications |
| title_full | On a new transmuted three-parameter lindley distribution and its applications |
| title_fullStr | On a new transmuted three-parameter lindley distribution and its applications |
| title_full_unstemmed | On a new transmuted three-parameter lindley distribution and its applications |
| title_short | On a new transmuted three-parameter lindley distribution and its applications |
| title_sort | on a new transmuted three-parameter lindley distribution and its applications |
| url | http://journalarticle.ukm.my/24130/ http://journalarticle.ukm.my/24130/ http://journalarticle.ukm.my/24130/1/SME%2016.pdf |