A bounded cumulative hazard model with a change-point according to a threshold in a covariate for right-censored data
In most recent clinical studies, the focus is on estimation of the proportion of patients who are cured and who will therefore never experience the event of interest again. This article investigates a survival model with cure fraction and change-point effect based on the bounded cumulative hazard mo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Natural Sciences Publishing
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/36122/ http://psasir.upm.edu.my/id/eprint/36122/1/A%20bounded%20cumulative%20hazard%20model%20with%20a%20change.pdf |
| _version_ | 1848848243994132480 |
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| author | Taweab, Fauzia Ibrahim, Noor Akma Arasan, Jayanthi |
| author_facet | Taweab, Fauzia Ibrahim, Noor Akma Arasan, Jayanthi |
| author_sort | Taweab, Fauzia |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In most recent clinical studies, the focus is on estimation of the proportion of patients who are cured and who will therefore never experience the event of interest again. This article investigates a survival model with cure fraction and change-point effect based on the bounded cumulative hazard model (BCH). The maximum likelihood approach to estimate the unknown parameters is used. A major difficulty here is that the likelihood function is not differentiable with respect to a change point parameter. To address this problem a smoothed likelihood approach is proposed. Simulation studies have been conducted in this study to assess the efficiency of the estimators under various practical situations. Numerical results show the satisfying performance of the proposed estimates and that the proposed model represents a useful addition to the literature of the BCH model. |
| first_indexed | 2025-11-15T09:31:25Z |
| format | Article |
| id | upm-36122 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:31:25Z |
| publishDate | 2015 |
| publisher | Natural Sciences Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-361222017-10-27T01:51:29Z http://psasir.upm.edu.my/id/eprint/36122/ A bounded cumulative hazard model with a change-point according to a threshold in a covariate for right-censored data Taweab, Fauzia Ibrahim, Noor Akma Arasan, Jayanthi In most recent clinical studies, the focus is on estimation of the proportion of patients who are cured and who will therefore never experience the event of interest again. This article investigates a survival model with cure fraction and change-point effect based on the bounded cumulative hazard model (BCH). The maximum likelihood approach to estimate the unknown parameters is used. A major difficulty here is that the likelihood function is not differentiable with respect to a change point parameter. To address this problem a smoothed likelihood approach is proposed. Simulation studies have been conducted in this study to assess the efficiency of the estimators under various practical situations. Numerical results show the satisfying performance of the proposed estimates and that the proposed model represents a useful addition to the literature of the BCH model. Natural Sciences Publishing 2015-01 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36122/1/A%20bounded%20cumulative%20hazard%20model%20with%20a%20change.pdf Taweab, Fauzia and Ibrahim, Noor Akma and Arasan, Jayanthi (2015) A bounded cumulative hazard model with a change-point according to a threshold in a covariate for right-censored data. Applied Mathematics & Information Sciences, 9 (1). pp. 69-74. ISSN 1935-0090; ESSN: 2325-0399 http://www.naturalspublishing.com/ContIss.asp?IssID=249 |
| spellingShingle | Taweab, Fauzia Ibrahim, Noor Akma Arasan, Jayanthi A bounded cumulative hazard model with a change-point according to a threshold in a covariate for right-censored data |
| title | A bounded cumulative hazard model with a change-point according to a threshold in a covariate for right-censored data |
| title_full | A bounded cumulative hazard model with a change-point according to a threshold in a covariate for right-censored data |
| title_fullStr | A bounded cumulative hazard model with a change-point according to a threshold in a covariate for right-censored data |
| title_full_unstemmed | A bounded cumulative hazard model with a change-point according to a threshold in a covariate for right-censored data |
| title_short | A bounded cumulative hazard model with a change-point according to a threshold in a covariate for right-censored data |
| title_sort | bounded cumulative hazard model with a change-point according to a threshold in a covariate for right-censored data |
| url | http://psasir.upm.edu.my/id/eprint/36122/ http://psasir.upm.edu.my/id/eprint/36122/ http://psasir.upm.edu.my/id/eprint/36122/1/A%20bounded%20cumulative%20hazard%20model%20with%20a%20change.pdf |