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Cause-specific hazard

A cause-specific hazard is the instantaneous rate of one event type among units still free of all modeled first events.

Related Observatory article: Cause-specific hazard on hesela.com

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

Citations

  1. Therneau, Crowson and Atkinson: Multi-state models and competing risks (12 January 2026), sections 2.1-2.2 and 3 (accessed 2026-10-16)
  2. Andersen, Geskus, de Witte and Putter (2012): Competing risks in epidemiology: possibilities and pitfalls, DOI 10.1093/ije/dyr213 (accessed 2026-10-16)

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