Cox Model for Interval Censored Data in Breast Cancer Follow-Up Studies

The overall objective of this research proposal is semi-parametric inference of the Cox regression model for a survival function Pr(X > x/Z=z)=S(x/z)= So(x)ez beta, where X is subject to interval censoring, Z represents the covariates, So is a baseline survival function, and beta represents the regression coefficients. One objective of our research is to develop asymptotic inference of the generalized maximum likelihood estimator (GMLE) of the regression coefficients beta and S(./z).