Non/semiparametric methods for nonlinear/hazards/censored regression; Nonparametric monotone empirical Bayes; Non/semiparametric seemingly unrelated regression

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When the response is the time-to-event outcome such as lifetimes of patients, data are often clustered and censored. For example, in a clinical trial, researchers are interested in evaluating the effect of a treatment on survival in the HIV-1 seropositive drug users adjusted for other predictive covariates such as BMI (body mess index) and age. Some patients may still be alive when the study terminates. Hence, the survival times of these patients are censored. On the other hand, when patients are taken from different health centers; there might be a dependence between patients in the same center. Part of the objective of this research proposal is to develop semi-parametric regression models for fixed and mixed covariate effects with censored and clustered samples and to investigate the large sample performance of the estimators.