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 |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2024
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| Online Access: | http://journalarticle.ukm.my/24106/ http://journalarticle.ukm.my/24106/1/89_103%20Paper_7.pdf |
| _version_ | 1848816013915717632 |
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| author | Idari Ismail, Jayanthi Arasan, Mohd Shafie Mustafa, Muhammad Aslam Mohd Safari, |
| author_facet | Idari Ismail, Jayanthi Arasan, Mohd Shafie Mustafa, Muhammad Aslam Mohd Safari, |
| author_sort | Idari Ismail, |
| building | UKM 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 | 2025-11-15T00:59:08Z |
| format | Article |
| id | oai:generic.eprints.org:24106 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T00:59:08Z |
| publishDate | 2024 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:241062024-09-06T00:53:48Z http://journalarticle.ukm.my/24106/ Interval estimation for parameters of a bathtub hazard model Idari Ismail, Jayanthi Arasan, Mohd Shafie Mustafa, Muhammad Aslam Mohd Safari, 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 2024-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/24106/1/89_103%20Paper_7.pdf Idari Ismail, and Jayanthi Arasan, and Mohd Shafie Mustafa, and Muhammad Aslam Mohd Safari, (2024) Interval estimation for parameters of a bathtub hazard model. Journal of Quality Measurement and Analysis, 20 (2). pp. 89-103. ISSN 2600-8602 http://www.ukm.my/jqma |
| spellingShingle | Idari Ismail, Jayanthi Arasan, Mohd Shafie Mustafa, Muhammad Aslam Mohd Safari, 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://journalarticle.ukm.my/24106/ http://journalarticle.ukm.my/24106/ http://journalarticle.ukm.my/24106/1/89_103%20Paper_7.pdf |