A Bayesian estimation on right censored survival data with mixture and non-mixture cured fraction model based on beta-Weibull distribution

Models for survival data that includes the proportion of individuals who are not subject to the event under study are known as a cure fraction models or simply called long-term survival models. The two most common models used to estimate the cure fraction are the mixture model and the non-mixture mo...

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Main Authors: Yusuf, Madaki Umar, Abu Bakar, Mohd Rizam
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2016
Online Access:http://psasir.upm.edu.my/id/eprint/57193/
http://psasir.upm.edu.my/id/eprint/57193/1/A%20Bayesian%20estimation%20on%20right%20censored%20survival%20data%20with%20mixture%20and%20non-mixture%20cured%20fraction%20model%20based%20on%20beta-Weibull%20distribution.pdf
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author Yusuf, Madaki Umar
Abu Bakar, Mohd Rizam
author_facet Yusuf, Madaki Umar
Abu Bakar, Mohd Rizam
author_sort Yusuf, Madaki Umar
building UPM Institutional Repository
collection Online Access
description Models for survival data that includes the proportion of individuals who are not subject to the event under study are known as a cure fraction models or simply called long-term survival models. The two most common models used to estimate the cure fraction are the mixture model and the non-mixture model. in this work, we present mixture and the non-mixture cure fraction models for survival data based on the beta-Weibull distribution. This four parameter distribution has been proposed as an alternative extension of the Weibull distribution in the analysis of lifetime data. This approach allows the inclusion of covariates in the models, where the estimation of the parameters was obtained under a Bayesian approach using Gibbs sampling methods.
first_indexed 2025-11-15T10:51:43Z
format Conference or Workshop Item
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institution Universiti Putra Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T10:51:43Z
publishDate 2016
publisher AIP Publishing
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spelling upm-571932017-09-08T09:41:56Z http://psasir.upm.edu.my/id/eprint/57193/ A Bayesian estimation on right censored survival data with mixture and non-mixture cured fraction model based on beta-Weibull distribution Yusuf, Madaki Umar Abu Bakar, Mohd Rizam Models for survival data that includes the proportion of individuals who are not subject to the event under study are known as a cure fraction models or simply called long-term survival models. The two most common models used to estimate the cure fraction are the mixture model and the non-mixture model. in this work, we present mixture and the non-mixture cure fraction models for survival data based on the beta-Weibull distribution. This four parameter distribution has been proposed as an alternative extension of the Weibull distribution in the analysis of lifetime data. This approach allows the inclusion of covariates in the models, where the estimation of the parameters was obtained under a Bayesian approach using Gibbs sampling methods. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57193/1/A%20Bayesian%20estimation%20on%20right%20censored%20survival%20data%20with%20mixture%20and%20non-mixture%20cured%20fraction%20model%20based%20on%20beta-Weibull%20distribution.pdf Yusuf, Madaki Umar and Abu Bakar, Mohd Rizam (2016) A Bayesian estimation on right censored survival data with mixture and non-mixture cured fraction model based on beta-Weibull distribution. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-8). 10.1063/1.4952559
spellingShingle Yusuf, Madaki Umar
Abu Bakar, Mohd Rizam
A Bayesian estimation on right censored survival data with mixture and non-mixture cured fraction model based on beta-Weibull distribution
title A Bayesian estimation on right censored survival data with mixture and non-mixture cured fraction model based on beta-Weibull distribution
title_full A Bayesian estimation on right censored survival data with mixture and non-mixture cured fraction model based on beta-Weibull distribution
title_fullStr A Bayesian estimation on right censored survival data with mixture and non-mixture cured fraction model based on beta-Weibull distribution
title_full_unstemmed A Bayesian estimation on right censored survival data with mixture and non-mixture cured fraction model based on beta-Weibull distribution
title_short A Bayesian estimation on right censored survival data with mixture and non-mixture cured fraction model based on beta-Weibull distribution
title_sort bayesian estimation on right censored survival data with mixture and non-mixture cured fraction model based on beta-weibull distribution
url http://psasir.upm.edu.my/id/eprint/57193/
http://psasir.upm.edu.my/id/eprint/57193/
http://psasir.upm.edu.my/id/eprint/57193/1/A%20Bayesian%20estimation%20on%20right%20censored%20survival%20data%20with%20mixture%20and%20non-mixture%20cured%20fraction%20model%20based%20on%20beta-Weibull%20distribution.pdf