Non-parametric maximum likelihood estimation of cure fraction for interval survival data.
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 e...
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| Format: | Article |
| Language: | English English |
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CESER Publications
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/24825/ http://psasir.upm.edu.my/id/eprint/24825/1/Non.pdf |
| _version_ | 1848845141636284416 |
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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 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. |
| first_indexed | 2025-11-15T08:42:06Z |
| format | Article |
| id | upm-24825 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:42:06Z |
| publishDate | 2011 |
| publisher | CESER Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-248252015-09-23T03:00:31Z http://psasir.upm.edu.my/id/eprint/24825/ Non-parametric maximum likelihood estimation of cure fraction for interval survival data. I. Aljawadi, Bader Ahmad Abu Bakar, Mohd Rizam Ibrahim, Noor Akma 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. CESER Publications 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24825/1/Non.pdf 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 http://www.ceser.in/ijamas.html English |
| spellingShingle | I. Aljawadi, Bader Ahmad Abu Bakar, Mohd Rizam Ibrahim, Noor Akma Non-parametric maximum likelihood estimation of cure fraction for interval survival data. |
| title | Non-parametric maximum likelihood estimation of cure fraction for interval survival data. |
| title_full | Non-parametric maximum likelihood estimation of cure fraction for interval survival data. |
| title_fullStr | Non-parametric maximum likelihood estimation of cure fraction for interval survival data. |
| title_full_unstemmed | Non-parametric maximum likelihood estimation of cure fraction for interval survival data. |
| title_short | Non-parametric maximum likelihood estimation of cure fraction for interval survival data. |
| title_sort | non-parametric maximum likelihood estimation of cure fraction for interval survival data. |
| url | http://psasir.upm.edu.my/id/eprint/24825/ http://psasir.upm.edu.my/id/eprint/24825/ http://psasir.upm.edu.my/id/eprint/24825/1/Non.pdf |