ABSTRACT
This chapter provides a mathematical introduction to the analysis of time-to-event outcomes subject to right censoring. It discusses the so-called “one-sample” problem, which is focused on inference about the distribution of the time-to-event based on a single sample of data and the so-called “two-sample” problem which is focused on testing whether the distributions of the time to event is equal between independent samples of data. These problems are addressed under both non-informative and informative censoring assumptions. The chapter also discusses the Cox regression model, with both time-independent and time-varying covariates.
