Cause-specific hazard
A cause-specific hazard is the instantaneous rate of one event type among units still free of all modeled first events.
Rate: Its units are inverse time, unlike cumulative incidence. A cause-specific Cox fit can code competing events as censored when removing those units from the risk set. This estimates a rate among event-free units, not lifetime with the competing event eliminated. [2]
Probability: The cumulative incidence also depends on the other cause-specific hazards; a separate Kaplan-Meier complement is not its estimator. [1] Latent failure-time independence is not needed for these observed-process quantities. Ordinary loss-to-follow-up still requires appropriate censoring assumptions. [2]
Relations
- related
- competing-risks, cumulative-incidence-function, hazard-rate