Additive gamma polygonal in the existence of frailty with right-censored observations
Proportional hazards model is commonly used in survival analysis for estimating the effects of different covariates influencing survival data. There are two ways to define the hazard function model: as a product of the baseline hazard function and a non-negative function of covariates or as the sum...
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my.utm.339862017-08-13T06:26:19Z http://eprints.utm.my/id/eprint/33986/ Additive gamma polygonal in the existence of frailty with right-censored observations Mohamed Ismail, Noraslinda Mohd Khalid, Zarina Ahmad, Norhaiza Proportional hazards model is commonly used in survival analysis for estimating the effects of different covariates influencing survival data. There are two ways to define the hazard function model: as a product of the baseline hazard function and a non-negative function of covariates or as the sum of the baseline hazard function and a non-negative function of covariates. In this paper, we propose an additive and multiplicative Gamma Polygonal with frailty in the hazard function using OpenBUGS. The family of frailty models can make the hazard modeling scheme more flexible and facilitates a variety of relationships between the baseline hazard and hazard function. The proposed models are more flexible survival models for non-informative censored data using a Bayesian approach. Multiplicative Gamma Polygonal has given a better performance compared to additive Gamma Polygonal since an additive Gamma Polygonal intensity model with frailty is a complex model. We have used the Markov Chain Monte Carlo method to compute the Bayesian estimator on Leukemia data. Conference or Workshop Item PeerReviewed Mohamed Ismail, Noraslinda and Mohd Khalid, Zarina and Ahmad, Norhaiza Additive gamma polygonal in the existence of frailty with right-censored observations. In: International Science Postgraduate Conference 2012 (ISPC 2012). |
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Proportional hazards model is commonly used in survival analysis for estimating the effects of different covariates influencing survival data. There are two ways to define the hazard function model: as a product of the baseline hazard function and a non-negative function of covariates or as the sum of the baseline hazard function and a non-negative function of covariates. In this paper, we propose an additive and multiplicative Gamma Polygonal with frailty in the hazard function using OpenBUGS. The family of frailty models can make the hazard modeling scheme more flexible and facilitates a variety of relationships between the baseline hazard and hazard function. The proposed models are more flexible survival models for non-informative censored data using a Bayesian approach. Multiplicative Gamma Polygonal has given a better performance compared to additive Gamma Polygonal since an additive Gamma Polygonal intensity model with frailty is a complex model. We have used the Markov Chain Monte Carlo method to compute the Bayesian estimator on Leukemia data. |
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Conference or Workshop Item |
author |
Mohamed Ismail, Noraslinda Mohd Khalid, Zarina Ahmad, Norhaiza |
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Mohamed Ismail, Noraslinda Mohd Khalid, Zarina Ahmad, Norhaiza Additive gamma polygonal in the existence of frailty with right-censored observations |
author_facet |
Mohamed Ismail, Noraslinda Mohd Khalid, Zarina Ahmad, Norhaiza |
author_sort |
Mohamed Ismail, Noraslinda |
title |
Additive gamma polygonal in the existence of frailty with right-censored observations |
title_short |
Additive gamma polygonal in the existence of frailty with right-censored observations |
title_full |
Additive gamma polygonal in the existence of frailty with right-censored observations |
title_fullStr |
Additive gamma polygonal in the existence of frailty with right-censored observations |
title_full_unstemmed |
Additive gamma polygonal in the existence of frailty with right-censored observations |
title_sort |
additive gamma polygonal in the existence of frailty with right-censored observations |
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http://eprints.utm.my/id/eprint/33986/ |
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