Physical Sciences and Mathematics Commons^™

Bivariate Cure Rate Model Using Copula Functions In Presence Of Censored Data And Covariates, Jie Huang

Graduate Research Theses & Dissertations

Bivariate survival cure rate models extend the understanding of time-to-event data by allowing for the formulation of more accurate and informative conclusion. These conclusions are obtainable from an analysis that accounts for a cured fraction of the population and dependence between paired units. We propose a mixture cure rate model where a correlation coefficient is used for the association between bivariate cure rate fractions and a new generalized Farlie Gumbel Morgenstern (FGM) copula function is applied to model the de-

pendence structure of bivariate survival times. Covariate effects are incorporated into two components of our model, cure rate fractions and …