Bathtub hazard model with covariate and right censored data
Lifetime distributions that present bathtub-shaped failure rates are becoming increasingly important especially when dealing with medical data. In this research, a two-parameter bathtub hazard model was extended to incorporate covariates in the presence of right censored data. The parameter estimate...
| Main Authors: | , , , |
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| Format: | Article |
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Universiti Kebangsaan Malaysia
2022
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| Online Access: | http://psasir.upm.edu.my/id/eprint/100515/ |
| _version_ | 1848863343904817152 |
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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 | Lifetime distributions that present bathtub-shaped failure rates are becoming increasingly important especially when dealing with medical data. In this research, a two-parameter bathtub hazard model was extended to incorporate covariates in the presence of right censored data. The parameter estimates were computed based on maximum likelihood estimation (MLE) method. A simulation study was then executed to assess the performance of parameter estimates based on their bias, standard error (SE) and root mean square error (RMSE) at various censoring proportions and sample sizes. The results suggested that the performance of the estimator is better at larger sample size as it lower the standard error and root mean square error (RMSE). A decrease in censoring proportions yield smaller SE and RMSE values, whereas the values of bias decrease as the sample sizes and censoring proportions increase. Finally, the extended model was applied to a real medical data. Also, three confidence interval estimation (Wald, bootstrap-p, bootstrap-t) were obtained for each of the parameters of the model. The results suggested that the real data fitted the bathtub hazard model well. |
| first_indexed | 2025-11-15T13:31:25Z |
| format | Article |
| id | upm-100515 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:31:25Z |
| publishDate | 2022 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1005152023-11-21T08:29:43Z http://psasir.upm.edu.my/id/eprint/100515/ Bathtub hazard model with covariate and right censored data Ismail, Idari Arasan, Jayanthi Mustafa, Mohd Shafie Mohd Safari, Muhammad Aslam Lifetime distributions that present bathtub-shaped failure rates are becoming increasingly important especially when dealing with medical data. In this research, a two-parameter bathtub hazard model was extended to incorporate covariates in the presence of right censored data. The parameter estimates were computed based on maximum likelihood estimation (MLE) method. A simulation study was then executed to assess the performance of parameter estimates based on their bias, standard error (SE) and root mean square error (RMSE) at various censoring proportions and sample sizes. The results suggested that the performance of the estimator is better at larger sample size as it lower the standard error and root mean square error (RMSE). A decrease in censoring proportions yield smaller SE and RMSE values, whereas the values of bias decrease as the sample sizes and censoring proportions increase. Finally, the extended model was applied to a real medical data. Also, three confidence interval estimation (Wald, bootstrap-p, bootstrap-t) were obtained for each of the parameters of the model. The results suggested that the real data fitted the bathtub hazard model well. Universiti Kebangsaan Malaysia 2022-11 Article PeerReviewed Ismail, Idari and Arasan, Jayanthi and Mustafa, Mohd Shafie and Mohd Safari, Muhammad Aslam (2022) Bathtub hazard model with covariate and right censored data. Journal of Quality Measurement and Analysis, 18 (3). pp. 1-15. ISSN 2600-8602 https://www.ukm.my/jqma/jqma18-3/ |
| spellingShingle | Ismail, Idari Arasan, Jayanthi Mustafa, Mohd Shafie Mohd Safari, Muhammad Aslam Bathtub hazard model with covariate and right censored data |
| title | Bathtub hazard model with covariate and right censored data |
| title_full | Bathtub hazard model with covariate and right censored data |
| title_fullStr | Bathtub hazard model with covariate and right censored data |
| title_full_unstemmed | Bathtub hazard model with covariate and right censored data |
| title_short | Bathtub hazard model with covariate and right censored data |
| title_sort | bathtub hazard model with covariate and right censored data |
| url | http://psasir.upm.edu.my/id/eprint/100515/ http://psasir.upm.edu.my/id/eprint/100515/ |