Correlation of Bivariate Frailty Models and a New Marginal Weibull Distribution for Correlated Bivariate Survival Data
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University of Cincinnati / OhioLINK
2011
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| Online Access: | http://rave.ohiolink.edu/etdc/view?acc_num=ucin1307321226 |
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ndltd-OhioLink-oai-etd.ohiolink.edu-ucin13073212262021-08-03T06:14:49Z Correlation of Bivariate Frailty Models and a New Marginal Weibull Distribution for Correlated Bivariate Survival Data Lin, Min Statistics frailty model correlation bivariate marginal Weibull loglinear survival model Bayesian methods Survival analysis is widely used in many different areas. The classic models, such as Cox proportional hazards model, are frequently used to model univariate survival data. However, in biomedical studies, it is not uncommon that each study subject experience multiple events or subjects are related within some clusters. These data are called multivariate survival data. The statistical methods of these problems need to describe the dependence of observations within a subject or cluster. Frailty model is one way to approach the problem and is commonly used recently. Among the frailties, the gamma frailty is frequently used because of its analytic features. However, the gamma frailty model cannot handle the highly correlated data in some cases. In this thesis, different parametric survival models with gamma frailty and lognormal frailty have been examined in terms of correlation. Overall, lognormal frailty models perform better than gamma frailty models in many survival models. Another approach to solve multivariate survival data problem is via parametric distributions which can directly address the dependence among the data. In this thesis, a bivariate distribution with marginal Weibull distribution is proposed. Some properties of the distribution have been discussed. Weibull model with lognormal frailty, Weibull model with gamma frailty, and the marginal Weibull model are also fitted via Bayesian method and the results are compared. 2011-09-19 English text University of Cincinnati / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=ucin1307321226 http://rave.ohiolink.edu/etdc/view?acc_num=ucin1307321226 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws. |
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NDLTD |
| language |
English |
| sources |
NDLTD |
| topic |
Statistics frailty model correlation bivariate marginal Weibull loglinear survival model Bayesian methods |
| spellingShingle |
Statistics frailty model correlation bivariate marginal Weibull loglinear survival model Bayesian methods Lin, Min Correlation of Bivariate Frailty Models and a New Marginal Weibull Distribution for Correlated Bivariate Survival Data |
| author |
Lin, Min |
| author_facet |
Lin, Min |
| author_sort |
Lin, Min |
| title |
Correlation of Bivariate Frailty Models and a New Marginal Weibull Distribution for Correlated Bivariate Survival Data |
| title_short |
Correlation of Bivariate Frailty Models and a New Marginal Weibull Distribution for Correlated Bivariate Survival Data |
| title_full |
Correlation of Bivariate Frailty Models and a New Marginal Weibull Distribution for Correlated Bivariate Survival Data |
| title_fullStr |
Correlation of Bivariate Frailty Models and a New Marginal Weibull Distribution for Correlated Bivariate Survival Data |
| title_full_unstemmed |
Correlation of Bivariate Frailty Models and a New Marginal Weibull Distribution for Correlated Bivariate Survival Data |
| title_sort |
correlation of bivariate frailty models and a new marginal weibull distribution for correlated bivariate survival data |
| publisher |
University of Cincinnati / OhioLINK |
| publishDate |
2011 |
| url |
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1307321226 |
| work_keys_str_mv |
AT linmin correlationofbivariatefrailtymodelsandanewmarginalweibulldistributionforcorrelatedbivariatesurvivaldata |
| _version_ |
1719433396227145728 |