In this dissertation research, we aim to solve problems of two types of survival data, clustered survival data with potentially informative cluster size and sojourn time data. The methods for these two types of data are different. However, both...
Marginal inference for waiting times in multi-stage time-to-event models is complicated by right censoring of observations as well as the prior history of events in the model. In general, complications arise due to the evolution of the censoring...
Nonparametric statistics; Estimation theory; Distribution (Probability theory)
Multistate models are a type of multi-variate survival data which provide a framework for describing a complex system where individuals transition through a series of distinct states. This research focuses on nonparametric inference for general...
A common research interest in medical, biological, and engineering research is determining whether certain independent variables are correlated with the survival or failure times. Standard statistical techniques cannot usually be applied for...
