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Cure models based on Weibull distribution with and without covariates using right censored data

In this paper we use a methodology based on the Weibull distributions covariates in the presence of cure fraction models, censored data and covariates. Objective: The objective of the study is to check the performance of mixture and non-mixture cure models based on LPML. Methods/Analysis: Two models...

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Main Authors: Yusuf, Madaki Umar, Abu Bakar, Mohd Rizam
Format: Article
Language:English
Published: Indian Society for Education and Environment 2016
Online Access:http://psasir.upm.edu.my/id/eprint/55410/1/Cure%20models%20based%20on%20Weibull%20distribution%20with%20and%20without%20covariates%20using%20right%20censored%20data.pdf
http://psasir.upm.edu.my/id/eprint/55410/
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spelling my.upm.eprints.554102017-10-02T09:12:10Z http://psasir.upm.edu.my/id/eprint/55410/ Cure models based on Weibull distribution with and without covariates using right censored data Yusuf, Madaki Umar Abu Bakar, Mohd Rizam In this paper we use a methodology based on the Weibull distributions covariates in the presence of cure fraction models, censored data and covariates. Objective: The objective of the study is to check the performance of mixture and non-mixture cure models based on LPML. Methods/Analysis: Two models were explored here in which are the mixture and non-mixture cure fraction models. Inferences for the models are obtained under the Bayesian approach via Markov Chain Monte Carlo (MCMC) where the posterior estimates were obtained by using Metropolis-Hastings sampling methods in the presence of covariates and without covariates considering a real life time dataset and comparing the two cure models using the Log Pseudo Maximum Likelihood estimates (LPML) and some related special cases of the distribution. Findings/ Conclusion: We observed that the Weibull distribution has the least LPML value while its special cases where the two models are quite similar having the highest values on the other hand, the Mixture fits better than the non-mixture having the highest (LPML) based on the results obtain from all the models suggesting that the standard parametric cure (mixture) model fits the AML data which shows a great indication of similarity with the covariates and flexibility of the models. Indian Society for Education and Environment 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/55410/1/Cure%20models%20based%20on%20Weibull%20distribution%20with%20and%20without%20covariates%20using%20right%20censored%20data.pdf Yusuf, Madaki Umar and Abu Bakar, Mohd Rizam (2016) Cure models based on Weibull distribution with and without covariates using right censored data. Indian Journal of Science and Technology, 9 (28). pp. 1-12. ISSN 0974-6846; ESSN: 0974-5645 10.17485/ijst/2016/v9i28/97350
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description In this paper we use a methodology based on the Weibull distributions covariates in the presence of cure fraction models, censored data and covariates. Objective: The objective of the study is to check the performance of mixture and non-mixture cure models based on LPML. Methods/Analysis: Two models were explored here in which are the mixture and non-mixture cure fraction models. Inferences for the models are obtained under the Bayesian approach via Markov Chain Monte Carlo (MCMC) where the posterior estimates were obtained by using Metropolis-Hastings sampling methods in the presence of covariates and without covariates considering a real life time dataset and comparing the two cure models using the Log Pseudo Maximum Likelihood estimates (LPML) and some related special cases of the distribution. Findings/ Conclusion: We observed that the Weibull distribution has the least LPML value while its special cases where the two models are quite similar having the highest values on the other hand, the Mixture fits better than the non-mixture having the highest (LPML) based on the results obtain from all the models suggesting that the standard parametric cure (mixture) model fits the AML data which shows a great indication of similarity with the covariates and flexibility of the models.
format Article
author Yusuf, Madaki Umar
Abu Bakar, Mohd Rizam
spellingShingle Yusuf, Madaki Umar
Abu Bakar, Mohd Rizam
Cure models based on Weibull distribution with and without covariates using right censored data
author_facet Yusuf, Madaki Umar
Abu Bakar, Mohd Rizam
author_sort Yusuf, Madaki Umar
title Cure models based on Weibull distribution with and without covariates using right censored data
title_short Cure models based on Weibull distribution with and without covariates using right censored data
title_full Cure models based on Weibull distribution with and without covariates using right censored data
title_fullStr Cure models based on Weibull distribution with and without covariates using right censored data
title_full_unstemmed Cure models based on Weibull distribution with and without covariates using right censored data
title_sort cure models based on weibull distribution with and without covariates using right censored data
publisher Indian Society for Education and Environment
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/55410/1/Cure%20models%20based%20on%20Weibull%20distribution%20with%20and%20without%20covariates%20using%20right%20censored%20data.pdf
http://psasir.upm.edu.my/id/eprint/55410/
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score 13.211869

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