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Non-parametric maximum likelihood estimation of cure fraction for interval survival data.


Citation

I. Aljawadi, Bader Ahmad and Abu Bakar, Mohd Rizam and Ibrahim, Noor Akma (2011) Non-parametric maximum likelihood estimation of cure fraction for interval survival data. International Journal of Applied Mathematics and Statistics, 21 (J11). 118 - 130. ISSN 0973-7545

Abstract

In cancer clinical trials, a significant fraction of patients can be cured, that is, the symptoms of the disease are completely eliminated, so that it will never recurs. In this article the focus is on the estimation of the proportion of patients who are cured. The Nonparametric maximum likelihood estimation method is used for interval censored data based on the bounded cumulative hazard (BCH) model. We implement the Turnbull algorithm for the survival function estimation using EM algorithm. The analysis shows the analytical solution of the estimating equations for the cure proportion followed by a simulation study.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: CESER Publications
Keywords: Cure fraction; Interval censoring; Turnbull estimator; EM algorithm; BCH model.
Depositing User: Nur Farahin Ramli
Date Deposited: 28 Aug 2013 03:37
Last Modified: 23 Sep 2015 03:00
URI: http://psasir.upm.edu.my/id/eprint/24825
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