Interval estimation for parameters of a bathtub hazard model
In this study, a two-parameter lifetime model has been extended to incorporate covariate in the presence of right-censored data. The model has bathtub-shaped or increasing failure rate function which enables it to fit real lifetime data set. The method of maximum likelihood was used to estimate the...
| 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://psasir.upm.edu.my/id/eprint/110592/ http://psasir.upm.edu.my/id/eprint/110592/1/110592.pdf |
| _version_ | 1848865559001694208 |
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| author | Ismail, Idari Arasan, Jayanthi Mustafa, Mohd Shafie Mohd Safari, Muhammad Aslam |
| author_facet | Ismail, Idari Arasan, Jayanthi Mustafa, Mohd Shafie Mohd Safari, Muhammad Aslam |
| author_sort | Ismail, Idari |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this study, a two-parameter lifetime model has been extended to incorporate covariate in the presence of right-censored data. The model has bathtub-shaped or increasing failure rate function which enables it to fit real lifetime data set. The method of maximum likelihood was used to estimate the parameters in the model and a simulation study was then conducted to evaluate the performance of parameter estimates at various sample sizes and censoring proportion levels. The results from simulation study show that larger sample sizes and smaller censoring proportion give better estimates. Further, two interval estimation methods: Wald and likelihood ratio were constructed, and the performance of these methods was evaluated based on a coverage probability study. Both Wald and likelihood ratio techniques appear to have better performance when the sample size is larger. Also, a real right-censored lifetime data on patients with multiple myeloma was employed to illustrate the practical application of the extended model. |
| first_indexed | 2025-11-15T14:06:38Z |
| format | Article |
| id | upm-110592 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:06:38Z |
| publishDate | 2024 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1105922024-11-25T04:36:52Z http://psasir.upm.edu.my/id/eprint/110592/ Interval estimation for parameters of a bathtub hazard model Ismail, Idari Arasan, Jayanthi Mustafa, Mohd Shafie Mohd Safari, Muhammad Aslam In this study, a two-parameter lifetime model has been extended to incorporate covariate in the presence of right-censored data. The model has bathtub-shaped or increasing failure rate function which enables it to fit real lifetime data set. The method of maximum likelihood was used to estimate the parameters in the model and a simulation study was then conducted to evaluate the performance of parameter estimates at various sample sizes and censoring proportion levels. The results from simulation study show that larger sample sizes and smaller censoring proportion give better estimates. Further, two interval estimation methods: Wald and likelihood ratio were constructed, and the performance of these methods was evaluated based on a coverage probability study. Both Wald and likelihood ratio techniques appear to have better performance when the sample size is larger. Also, a real right-censored lifetime data on patients with multiple myeloma was employed to illustrate the practical application of the extended model. Penerbit Universiti Kebangsaan Malaysia 2024 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/110592/1/110592.pdf Ismail, Idari and Arasan, Jayanthi and Mustafa, Mohd Shafie and Mohd Safari, Muhammad Aslam (2024) Interval estimation for parameters of a bathtub hazard model. Journal of Quality Measurement and Analysis, 20 (2). pp. 89-103. ISSN 1823-5670; eISSN: 2600-8602 https://www.ukm.my/jqma/wp-content/uploads/2024/07/Paper_7.pdf 10.17576/jqma.2002.2024.07 |
| spellingShingle | Ismail, Idari Arasan, Jayanthi Mustafa, Mohd Shafie Mohd Safari, Muhammad Aslam Interval estimation for parameters of a bathtub hazard model |
| title | Interval estimation for parameters of a bathtub hazard model |
| title_full | Interval estimation for parameters of a bathtub hazard model |
| title_fullStr | Interval estimation for parameters of a bathtub hazard model |
| title_full_unstemmed | Interval estimation for parameters of a bathtub hazard model |
| title_short | Interval estimation for parameters of a bathtub hazard model |
| title_sort | interval estimation for parameters of a bathtub hazard model |
| url | http://psasir.upm.edu.my/id/eprint/110592/ http://psasir.upm.edu.my/id/eprint/110592/ http://psasir.upm.edu.my/id/eprint/110592/ http://psasir.upm.edu.my/id/eprint/110592/1/110592.pdf |