A new Gompertz-three-parameter-lindley distribution for modeling survival time data
In this paper, a new survival distribution is introduced. It is a mixture of the Gompertz distribution and three-parameter-Lindley distribution. The statistical properties of the proposed distribution including the shape properties, cumulative distribution, quantile functions, moment generating func...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2025
|
| Online Access: | http://journalarticle.ukm.my/25218/ http://journalarticle.ukm.my/25218/1/SMD%2023.pdf |
| _version_ | 1848816300341592064 |
|---|---|
| author | Liang, Fei Lu, Hezhi Xi, Yuhang |
| author_facet | Liang, Fei Lu, Hezhi Xi, Yuhang |
| author_sort | Liang, Fei |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | In this paper, a new survival distribution is introduced. It is a mixture of the Gompertz distribution and three-parameter-Lindley distribution. The statistical properties of the proposed distribution including the shape properties, cumulative distribution, quantile functions, moment generating function, failure rate function, mean residual function, and stochastic orders are studied. Moreover, a new regression model based on the proposed distribution is presented. Maximum likelihood estimators (MLEs) of unknown parameters are obtained via differential evolution algorithms, and simulation studies are conducted to evaluate the consistency of the MLEs. Finally, the proposed model and its regression model are applied to a real dataset and compared with other well-known models, demonstrating their superior performance, particularly for heavy-tailed data. |
| first_indexed | 2025-11-15T01:03:41Z |
| format | Article |
| id | oai:generic.eprints.org:25218 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T01:03:41Z |
| publishDate | 2025 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:252182025-05-13T12:18:28Z http://journalarticle.ukm.my/25218/ A new Gompertz-three-parameter-lindley distribution for modeling survival time data Liang, Fei Lu, Hezhi Xi, Yuhang In this paper, a new survival distribution is introduced. It is a mixture of the Gompertz distribution and three-parameter-Lindley distribution. The statistical properties of the proposed distribution including the shape properties, cumulative distribution, quantile functions, moment generating function, failure rate function, mean residual function, and stochastic orders are studied. Moreover, a new regression model based on the proposed distribution is presented. Maximum likelihood estimators (MLEs) of unknown parameters are obtained via differential evolution algorithms, and simulation studies are conducted to evaluate the consistency of the MLEs. Finally, the proposed model and its regression model are applied to a real dataset and compared with other well-known models, demonstrating their superior performance, particularly for heavy-tailed data. Penerbit Universiti Kebangsaan Malaysia 2025 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/25218/1/SMD%2023.pdf Liang, Fei and Lu, Hezhi and Xi, Yuhang (2025) A new Gompertz-three-parameter-lindley distribution for modeling survival time data. Sains Malaysiana, 54 (3). pp. 927-941. ISSN 0126-6039 https://www.ukm.my/jsm/english_journals/vol54num3_2025/contentsVol54num3_2025.html |
| spellingShingle | Liang, Fei Lu, Hezhi Xi, Yuhang A new Gompertz-three-parameter-lindley distribution for modeling survival time data |
| title | A new Gompertz-three-parameter-lindley distribution for modeling survival time data |
| title_full | A new Gompertz-three-parameter-lindley distribution for modeling survival time data |
| title_fullStr | A new Gompertz-three-parameter-lindley distribution for modeling survival time data |
| title_full_unstemmed | A new Gompertz-three-parameter-lindley distribution for modeling survival time data |
| title_short | A new Gompertz-three-parameter-lindley distribution for modeling survival time data |
| title_sort | new gompertz-three-parameter-lindley distribution for modeling survival time data |
| url | http://journalarticle.ukm.my/25218/ http://journalarticle.ukm.my/25218/ http://journalarticle.ukm.my/25218/1/SMD%2023.pdf |