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 |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2022
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| Online Access: | http://journalarticle.ukm.my/20973/1/QT%201.pdf |
| _version_ | 1796933347354607616 |
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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, |
| collection | UKM |
| 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 | 2024-03-06T04:45:50Z |
| format | Article |
| id | ukm.eprints-20973 |
| institution | Universiti Kebangsaan Malaysia |
| language | English |
| last_indexed | 2024-03-06T04:45:50Z |
| publishDate | 2022 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | ukm.eprints-209732023-01-17T07:37:41Z http://journalarticle.ukm.my/20973/ Bathtub hazard model with covariate and right censored data Idari Ismail, Jayanthi Arasan, Mohd Shafie Mustafa, Muhammad Aslam Mohd Safari, 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. Penerbit Universiti Kebangsaan Malaysia 2022 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/20973/1/QT%201.pdf Idari Ismail, and Jayanthi Arasan, and Mohd Shafie Mustafa, and Muhammad Aslam Mohd Safari, (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/current/ |
| spellingShingle | Idari Ismail, Jayanthi Arasan, Mohd Shafie Mustafa, Muhammad Aslam Mohd Safari, 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://journalarticle.ukm.my/20973/1/QT%201.pdf |
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