A Comparison of frailty and other models for bivariate survival data
A Comparison of frailty and other models for bivariate survival data
Multivariate survival data arise when each study subject may experience multiple events or when the study involves several members of each group. Statistical analyses of such data need to account for the intra-cluster dependence through appropriate modeling. Frailty models are the most popular for such failure time data. However, there are other approaches which model the dependence structure directly. In this article, we compare the frailty models for bivariate data with the models based on bivariate exponential and Weibull distributions. Bayesian methods provide a convenient paradigm for comparing the two sets of models we consider. Our techniques are illustrated using two examples. One simulated example demonstrates model choice methods developed in this paper and the other example, based on a practical data set of onset of blindness for diabetic Retinopathy patients, considers Bayesian inference using different models.
bivariate exponential distribution, bivariate Weibull distribution, frailty models, Markov chain Monte Carlo methods, proportional hazard model
207-228
Sahu, S. K.
33f1386d-6d73-4b60-a796-d626721f72bf
Dey, D. K.
d3671f54-0c1d-425c-ad3e-ad3630f2a7e7
2000
Sahu, S. K.
33f1386d-6d73-4b60-a796-d626721f72bf
Dey, D. K.
d3671f54-0c1d-425c-ad3e-ad3630f2a7e7
Sahu, S. K. and Dey, D. K.
(2000)
A Comparison of frailty and other models for bivariate survival data.
Lifetime Data Analysis, 6 (3), .
(doi:10.1023/A:1009633524403).
Abstract
Multivariate survival data arise when each study subject may experience multiple events or when the study involves several members of each group. Statistical analyses of such data need to account for the intra-cluster dependence through appropriate modeling. Frailty models are the most popular for such failure time data. However, there are other approaches which model the dependence structure directly. In this article, we compare the frailty models for bivariate data with the models based on bivariate exponential and Weibull distributions. Bayesian methods provide a convenient paradigm for comparing the two sets of models we consider. Our techniques are illustrated using two examples. One simulated example demonstrates model choice methods developed in this paper and the other example, based on a practical data set of onset of blindness for diabetic Retinopathy patients, considers Bayesian inference using different models.
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Published date: 2000
Keywords:
bivariate exponential distribution, bivariate Weibull distribution, frailty models, Markov chain Monte Carlo methods, proportional hazard model
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Statistics
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Local EPrints ID: 30034
URI: http://eprints.soton.ac.uk/id/eprint/30034
ISSN: 1380-7870
PURE UUID: 71bde267-db9e-43a9-8409-09cdf3724ace
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Date deposited: 20 Jul 2006
Last modified: 16 Mar 2024 03:15
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Author:
D. K. Dey
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