The risk set immediately before an event time contains the individuals who remain observed, event-free, and eligible to experience the event. For a cohort observed from time zero, with exit times Yi=min(Ti,Ci) under right censoring, write Rj={i:Yi≥tj} and nj=∣Rj∣. Individuals with an event or right censoring exactly at tj are included in this denominator; process events before removing subjects right-censored at that same recorded time. Earlier right censoring removes subjects from later risk sets. With delayed entry, use the entry times too, as in the Kaplan–Meier estimator with delayed entry.
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- Aalen–Johansen estimator
- At-risk process
- Background hazard
- Breslow approximation for tied event times
- Breslow estimator
- Constrained Kaplan–Meier estimator
- Cumulative incidence update with tied censoring
- Discrete hazard
- Efron approximation for tied event times
- Exact tied-set conditional likelihood
- Finite-sample bias of Nelson–Aalen estimation
- Fractional event imputation
- Greenwood formula
- Grouped Nelson–Aalen event-count identity
- Independent censoring
- Kaplan–Meier estimator
- Kaplan–Meier estimator with delayed entry
- Kaplan–Meier six-subject cohort
- Nelson–Aalen variance estimator
- Offset-adjusted cumulative hazard estimator
- Outcome-dependent updating of survival follow-up
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- Potential event time
- Potential right-censoring time
- Refractory period in recurrent-event analysis
- Right censoring
- Risk set
- Risk-set-adjusted relative survivor estimator
- Schoenfeld function
- Schoenfeld function for a three-person binary risk set
- Schoenfeld residual
- Score and information of Cox partial likelihood
- Self-consistency of Kaplan–Meier estimation
- Small-jump comparison of cumulative hazard estimators
- Start-stop recurrent-event data layout
- Stratified log-rank statistic
- Survival analysis
- Survival data
- Terminal censoring and survival-mean identifiability
- Terminal-observation invariance of Cox martingale residuals
- Zero sum of Cox martingale residuals
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