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Parametric estimation of the immunes proportion based on BCH model and exponential distribution using left censored data.


Citation

I. Aljawadi, Bader Ahmad and Abu Bakar, Mohd Rizam and Ibrahim, Noor Akma and Midi, Habshah (2011) Parametric estimation of the immunes proportion based on BCH model and exponential distribution using left censored data. Journal of Applied Sciences, 11 (15). pp. 2861-2865. ISSN 1812-5654

Abstract

In population based cancer clinical trials, a proportion of patients will never experience the interested event and considered as "cured" or "immunes". The majority of recent cancer studies focus on the estimation of immune proportion. In this study we investigated the estimation of proportion of patients curd of cancer in case of left censored data based on the Bounded Cumulative Hazard (BCH) model proposed by Chen in 1999. The analysis provided the Maximum Likelihood Estimation (MLE) of the parameters within the framework of the Expectation Maximization (EM) algorithm where the numerical solutions of the estimation equations of the cure rate parameter could be employed.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.3923/jas.2011.2861.2865
Publisher: Asian Network for Scientific Information
Keywords: Cure fraction; BCH model; Left censoring; MLE method; EM algorithm.
Depositing User: Nur Farahin Ramli
Date Deposited: 19 Jul 2013 09:03
Last Modified: 23 Sep 2015 03:22
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3923/jas.2011.2861.2865
URI: http://psasir.upm.edu.my/id/eprint/25131
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