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Correlation of Bivariate Frailty Models and a New Marginal Weibull Distribution for Correlated Bivariate Survival Data

Lin, Min
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1307321226

Abstract Details

2011, PhD, University of Cincinnati, Arts and Sciences: Mathematical Sciences.
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.
Siva Sivaganesan, PhD (Committee Chair)
James Deddens, PhD (Committee Member)
Paul Horn, PhD (Committee Member)
179 p.
Statistics
frailty model; correlation; bivariate marginal Weibull; loglinear survival model; Bayesian methods

Recommended Citations

Citations

  • Lin, M. (2011). Correlation of Bivariate Frailty Models and a New Marginal Weibull Distribution for Correlated Bivariate Survival Data [Doctoral dissertation, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1307321226

    APA Style (7th edition)

  • Lin, Min. Correlation of Bivariate Frailty Models and a New Marginal Weibull Distribution for Correlated Bivariate Survival Data. 2011. University of Cincinnati, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1307321226.

    MLA Style (8th edition)

  • Lin, Min. "Correlation of Bivariate Frailty Models and a New Marginal Weibull Distribution for Correlated Bivariate Survival Data." Doctoral dissertation, University of Cincinnati, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1307321226

    Chicago Manual of Style (17th edition)

ucin1307321226
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© 2011, all rights reserved.
This open access ETD is published by University of Cincinnati and OhioLINK.