Survival model of a parallel system with dependent failures and time varying covariates
In this paper, we extended a parallel system survival model based on the bivariate exponential to incorporate a time varying covariate. We calculated the bias, standard error and rmse of the parameter estimates of this model at different censoring levels using simulated data. We then compared the di...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
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Elsevier
2008
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| Online Access: | http://psasir.upm.edu.my/id/eprint/7021/ http://psasir.upm.edu.my/id/eprint/7021/1/Survival%20model%20of%20a%20parallel%20system%20with%20dependent%20failures%20and%20time%20varying%20covariates.pdf |
| _version_ | 1848840480555532288 |
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| author | Arasan, Jayanthi Lunn, Mary |
| author_facet | Arasan, Jayanthi Lunn, Mary |
| author_sort | Arasan, Jayanthi |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we extended a parallel system survival model based on the bivariate exponential to incorporate a time varying covariate. We calculated the bias, standard error and rmse of the parameter estimates of this model at different censoring levels using simulated data. We then compared the difference in the total error when a fixed covariate model was used instead of the true time varying covariate model. Following that, we studied three methods of constructing confidence intervals for such models and conclusions were drawn based on the results of the coverage probability study. Finally, the results obtained by fitting the diabetic retinopathy study data to the model were analysed.
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| first_indexed | 2025-11-15T07:28:01Z |
| format | Article |
| id | upm-7021 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T07:28:01Z |
| publishDate | 2008 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-70212015-12-04T09:02:40Z http://psasir.upm.edu.my/id/eprint/7021/ Survival model of a parallel system with dependent failures and time varying covariates Arasan, Jayanthi Lunn, Mary In this paper, we extended a parallel system survival model based on the bivariate exponential to incorporate a time varying covariate. We calculated the bias, standard error and rmse of the parameter estimates of this model at different censoring levels using simulated data. We then compared the difference in the total error when a fixed covariate model was used instead of the true time varying covariate model. Following that, we studied three methods of constructing confidence intervals for such models and conclusions were drawn based on the results of the coverage probability study. Finally, the results obtained by fitting the diabetic retinopathy study data to the model were analysed. Elsevier 2008 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/7021/1/Survival%20model%20of%20a%20parallel%20system%20with%20dependent%20failures%20and%20time%20varying%20covariates.pdf Arasan, Jayanthi and Lunn, Mary (2008) Survival model of a parallel system with dependent failures and time varying covariates. Journal of Statistical Planning and Inference, 139 (3). pp. 944-951. ISSN 0378-3758 http://dx.doi.org/10.1016/j.jspi.2008.06.007 10.1016/j.jspi.2008.06.007 English |
| spellingShingle | Arasan, Jayanthi Lunn, Mary Survival model of a parallel system with dependent failures and time varying covariates |
| title | Survival model of a parallel system with dependent failures and time varying covariates |
| title_full | Survival model of a parallel system with dependent failures and time varying covariates |
| title_fullStr | Survival model of a parallel system with dependent failures and time varying covariates |
| title_full_unstemmed | Survival model of a parallel system with dependent failures and time varying covariates |
| title_short | Survival model of a parallel system with dependent failures and time varying covariates |
| title_sort | survival model of a parallel system with dependent failures and time varying covariates |
| url | http://psasir.upm.edu.my/id/eprint/7021/ http://psasir.upm.edu.my/id/eprint/7021/ http://psasir.upm.edu.my/id/eprint/7021/ http://psasir.upm.edu.my/id/eprint/7021/1/Survival%20model%20of%20a%20parallel%20system%20with%20dependent%20failures%20and%20time%20varying%20covariates.pdf |