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Parametric maximum likelihood estimation of cure fraction using interval-censored data

Aljawadi, Bader Ahmad I. and Abu Bakar, Mohd Rizam and Ibrahim, Noor Akma and Al-Omari, Mohamad (2013) Parametric maximum likelihood estimation of cure fraction using interval-censored data. Journal of Advanced Computing, 2 (2). pp. 43-58. ISSN 2165-7823

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Official URL: http://dx.doi.org/10.7726/jac.2013.1004

Abstract

A significant proportion of patients in cancer clinical trials can be cured. That is, the symptoms of the disease disappear completely and the disease never recurs. In this article, the focus is on estimation of the proportion of patients who are cured. The parametric maximum likelihood estimation method was used for estimation of the cure fraction based on application of the bounded cumulative hazard (BCH) model to interval-censored data. We ran the analysis using the EM algorithm considering two cases: i) when no covariates were involved in the estimation, and ii) when some covariates were involved. This paper shows derivation of the estimation equations for the cure rate parameter followed by a simulation study.

Item Type:Article
Keyword:Cure fraction; BCH model; Interval censoring; Covariates; MLE method; EM algorithm
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:Columbia International Publishing
DOI Number:10.7726/jac.2013.1004
ID Code:30398
Deposited By: Umikalthom Abdullah
Deposited On:14 Nov 2014 11:40
Last Modified:15 Feb 2016 13:02

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