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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
INSInet Publication
2011
|
| Online Access: | 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 http://psasir.upm.edu.my/id/eprint/25133/ http://www.ansinet.com/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Universiti Putra Malaysia |
| Language: | English English |
| Summary: | 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. |
|---|