The Cox survival guide: hazards, models and time
Abstract
This note is an overview of survival analysis with a focus on the Cox proportional hazards model, a key tool for modelling time-to-event data. We define hazard functions, address right-censoring, and derive estimators like Nelson-Aalen and Kaplan-Meier. The Cox model's semiparametric form and partial likelihood estimation are discussed, along with evaluation metrics such as concordance probability.