1 Introduction
2 Notations
3 Time-dependent AUCs in the standard setting
3.1 The cumulative dynamic AUC: AUC^C,D(t)
3.2 The incident static AUC: AUC^I,S(t)
4 Time-dependent ROC curve and AUCs with longitudinal marker
4.1 Cumulative dynamic estimators with longitudinal marker
4.2 Incident static estimators with longitudinal marker
5 Time-dependent AUC and Competing risks
6 Discussion