Hazardfunktio
Hazardfunktio, in English often called the hazard function, is a concept in survival analysis and reliability theory. It describes the instantaneous rate at which an event occurs at time t, conditional on survival up to that time. In other words, it is the risk of the event happening in a very small time interval given that it has not occurred before.
Formally, if T denotes the time to an event, with density f(t) and survival function S(t) = P(T
The hazard function reflects the instantaneous risk and can vary with time. A constant hazard corresponds to
In practice, the hazard is estimated and modeled in several ways. Nonparametric methods include the Nelson-Aalen
Hazardfunktio is fundamental for interpreting time-to-event data in medicine, engineering, and reliability research, where understanding instantaneous