An analytical approach on parametric estimation of cure fraction based on weibull distribution using interval censored data.
In this article, we consider the Bounded Cumulative Hazard (BCH) model that is more appropriate than mixture cure model in case of cancer clinical trials when the population of interest contains long-term survivors or cured. We propose this cure rate model based on the Weibull distribution with int...
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| Format: | Article |
| Language: | English English |
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INSInet Publication
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25133/ http://psasir.upm.edu.my/id/eprint/25133/1/An%20analytical%20approach%20on%20parametric%20estimation%20of%20cure%20fraction%20based%20on%20weibull%20distribution%20using%20interval%20censored%20data.pdf |
| _version_ | 1848845225938649088 |
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| author | I. Aljawadi , Bader Ahmad Abu Bakar, Mohd Rizam Ibrahim, Noor Akma |
| author_facet | I. Aljawadi , Bader Ahmad Abu Bakar, Mohd Rizam Ibrahim, Noor Akma |
| author_sort | I. Aljawadi , Bader Ahmad |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this article, we consider the Bounded Cumulative Hazard (BCH) model that is more appropriate than mixture cure model in case of cancer clinical trials when the population of interest contains long-term survivors or cured. We propose this cure rate model based on the Weibull
distribution with interval censored data. Maximum likelihood estimation (MLE) method is proposed to estimate the parameters within the framework of expectation-maximization (EM) algorithm, Newton Raphson method also employed. The analysis showed that the cure fraction cannot be obtained analytically, but may be obtained from the numerical solution of the estimated equations. A simulation
study is also provided for assessing the efficiency of the proposed estimation procedure. |
| first_indexed | 2025-11-15T08:43:26Z |
| format | Article |
| id | upm-25133 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:43:26Z |
| publishDate | 2011 |
| publisher | INSInet Publication |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-251332015-09-23T07:47:42Z http://psasir.upm.edu.my/id/eprint/25133/ An analytical approach on parametric estimation of cure fraction based on weibull distribution using interval censored data. I. Aljawadi , Bader Ahmad Abu Bakar, Mohd Rizam Ibrahim, Noor Akma In this article, we consider the Bounded Cumulative Hazard (BCH) model that is more appropriate than mixture cure model in case of cancer clinical trials when the population of interest contains long-term survivors or cured. We propose this cure rate model based on the Weibull distribution with interval censored data. Maximum likelihood estimation (MLE) method is proposed to estimate the parameters within the framework of expectation-maximization (EM) algorithm, Newton Raphson method also employed. The analysis showed that the cure fraction cannot be obtained analytically, but may be obtained from the numerical solution of the estimated equations. A simulation study is also provided for assessing the efficiency of the proposed estimation procedure. INSInet Publication 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25133/1/An%20analytical%20approach%20on%20parametric%20estimation%20of%20cure%20fraction%20based%20on%20weibull%20distribution%20using%20interval%20censored%20data.pdf I. Aljawadi , Bader Ahmad and Abu Bakar, Mohd Rizam and Ibrahim, Noor Akma (2011) An analytical approach on parametric estimation of cure fraction based on weibull distribution using interval censored data. Australian Journal of Basic and Applied Sciences, 5 (3). pp. 546-554. ISSN 1991-8178 http://www.ansinet.com/ English |
| spellingShingle | I. Aljawadi , Bader Ahmad Abu Bakar, Mohd Rizam Ibrahim, Noor Akma An analytical approach on parametric estimation of cure fraction based on weibull distribution using interval censored data. |
| title | An analytical approach on parametric estimation of cure fraction based on weibull distribution using interval censored data. |
| title_full | An analytical approach on parametric estimation of cure fraction based on weibull distribution using interval censored data. |
| title_fullStr | An analytical approach on parametric estimation of cure fraction based on weibull distribution using interval censored data. |
| title_full_unstemmed | An analytical approach on parametric estimation of cure fraction based on weibull distribution using interval censored data. |
| title_short | An analytical approach on parametric estimation of cure fraction based on weibull distribution using interval censored data. |
| title_sort | analytical approach on parametric estimation of cure fraction based on weibull distribution using interval censored data. |
| url | http://psasir.upm.edu.my/id/eprint/25133/ http://psasir.upm.edu.my/id/eprint/25133/ http://psasir.upm.edu.my/id/eprint/25133/1/An%20analytical%20approach%20on%20parametric%20estimation%20of%20cure%20fraction%20based%20on%20weibull%20distribution%20using%20interval%20censored%20data.pdf |