Bayesian analysis and applications of a model for survival data with a surviving fraction
Thesis (M.A.S.)--Memorial University of Newfoundland, 2002. Mathematics and Statistics Bibliography: leaves 79-80 Cure rate estimation is one of the most important issues in clinical trials and cure rate models are the main models. In the past decade, the standard cure rate model has been discussed...
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ftmemorialunivdc:oai:collections.mun.ca:theses3/82999 2023-05-15T17:23:32+02:00 Bayesian analysis and applications of a model for survival data with a surviving fraction Tong, Qian, 1966- Memorial University of Newfoundland. Dept. of Mathematics and Statistics 2002 ix, 80 leaves Image/jpeg; Application/pdf http://collections.mun.ca/cdm/ref/collection/theses3/id/82999 eng eng Electronic Theses and Dissertations (7.68 MB) -- http://collections.mun.ca/PDFs/theses/Tong_Qian.pdf a1591294 http://collections.mun.ca/cdm/ref/collection/theses3/id/82999 The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. Paper copy kept in the Centre for Newfoundland Studies, Memorial University Libraries Bayesian statistical decision theory Survival analysis (Biometry) Text Electronic thesis or dissertation 2002 ftmemorialunivdc 2015-08-06T19:18:42Z Thesis (M.A.S.)--Memorial University of Newfoundland, 2002. Mathematics and Statistics Bibliography: leaves 79-80 Cure rate estimation is one of the most important issues in clinical trials and cure rate models are the main models. In the past decade, the standard cure rate model has been discussed and used. However, this model involves several drawbacks. Chen, Ibrahim and Sinha (1999) considered Bayesian methods for right-censored survival data for populations with a surviving (cure) fraction. In that paper, the authors proposed the cure rate model under the Weibull distribution which is quite different from the standard cure rate model. This proposed cure rate model overcomes the drawbacks of the standard cure rate model. However, it is not clear from their work whether their proposed cure rate models can be extended to other distributions. In this practicum, we shall extend those proposed cure rate models in Chen et al (1999) to the following distributions: log-logistic, Gompertz, and Gamma. Prior elicitations will also be discussed in detail, and classes of noninformative and informative prior distributions will be proposed. Furthermore, several theoretical properties of the proposed priors and resulting posteriors will be derived. -- At the end of this practicum, a melanoma clinical trial is used to illustrate applications of the log-logistic, Gompertz and Gamma distributions to the proposed cure rate models for Bayesian analysis. -- KEY WORDS: Cure rate model; Historical data; Current data; Posterior distribution; Gamma distribution; Log-logistic distribution; Gompertz distribution. Thesis Newfoundland studies University of Newfoundland Memorial University of Newfoundland: Digital Archives Initiative (DAI) Sinha ENVELOPE(-136.150,-136.150,-75.067,-75.067) |
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Memorial University of Newfoundland: Digital Archives Initiative (DAI) |
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ftmemorialunivdc |
language |
English |
topic |
Bayesian statistical decision theory Survival analysis (Biometry) |
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Bayesian statistical decision theory Survival analysis (Biometry) Tong, Qian, 1966- Bayesian analysis and applications of a model for survival data with a surviving fraction |
topic_facet |
Bayesian statistical decision theory Survival analysis (Biometry) |
description |
Thesis (M.A.S.)--Memorial University of Newfoundland, 2002. Mathematics and Statistics Bibliography: leaves 79-80 Cure rate estimation is one of the most important issues in clinical trials and cure rate models are the main models. In the past decade, the standard cure rate model has been discussed and used. However, this model involves several drawbacks. Chen, Ibrahim and Sinha (1999) considered Bayesian methods for right-censored survival data for populations with a surviving (cure) fraction. In that paper, the authors proposed the cure rate model under the Weibull distribution which is quite different from the standard cure rate model. This proposed cure rate model overcomes the drawbacks of the standard cure rate model. However, it is not clear from their work whether their proposed cure rate models can be extended to other distributions. In this practicum, we shall extend those proposed cure rate models in Chen et al (1999) to the following distributions: log-logistic, Gompertz, and Gamma. Prior elicitations will also be discussed in detail, and classes of noninformative and informative prior distributions will be proposed. Furthermore, several theoretical properties of the proposed priors and resulting posteriors will be derived. -- At the end of this practicum, a melanoma clinical trial is used to illustrate applications of the log-logistic, Gompertz and Gamma distributions to the proposed cure rate models for Bayesian analysis. -- KEY WORDS: Cure rate model; Historical data; Current data; Posterior distribution; Gamma distribution; Log-logistic distribution; Gompertz distribution. |
author2 |
Memorial University of Newfoundland. Dept. of Mathematics and Statistics |
format |
Thesis |
author |
Tong, Qian, 1966- |
author_facet |
Tong, Qian, 1966- |
author_sort |
Tong, Qian, 1966- |
title |
Bayesian analysis and applications of a model for survival data with a surviving fraction |
title_short |
Bayesian analysis and applications of a model for survival data with a surviving fraction |
title_full |
Bayesian analysis and applications of a model for survival data with a surviving fraction |
title_fullStr |
Bayesian analysis and applications of a model for survival data with a surviving fraction |
title_full_unstemmed |
Bayesian analysis and applications of a model for survival data with a surviving fraction |
title_sort |
bayesian analysis and applications of a model for survival data with a surviving fraction |
publishDate |
2002 |
url |
http://collections.mun.ca/cdm/ref/collection/theses3/id/82999 |
long_lat |
ENVELOPE(-136.150,-136.150,-75.067,-75.067) |
geographic |
Sinha |
geographic_facet |
Sinha |
genre |
Newfoundland studies University of Newfoundland |
genre_facet |
Newfoundland studies University of Newfoundland |
op_source |
Paper copy kept in the Centre for Newfoundland Studies, Memorial University Libraries |
op_relation |
Electronic Theses and Dissertations (7.68 MB) -- http://collections.mun.ca/PDFs/theses/Tong_Qian.pdf a1591294 http://collections.mun.ca/cdm/ref/collection/theses3/id/82999 |
op_rights |
The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. |
_version_ |
1766113109676654592 |