The hazard function is the instantaneous event rate conditional on survival to time . For an absolutely continuous distribution, .
A hazard ratio compares two hazard functions at the same time. Under proportional hazards it is constant in time.
Articles by others on the same topic
The **survival function**, often denoted as \( S(t) \), is a fundamental concept in survival analysis and statistics, particularly in the context of time-to-event data. It describes the probability that a subject or an individual survives beyond a certain time \( t \).