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survival-function · shipping · also Reliability function, Survivor function

Survival function

The survival function S(t) = P(T > t) is the probability that a time T to a defined event exceeds t, measured from a specified time origin.

Related Observatory article: Survival function on hesela.com

Specify the drive population, failure event, time origin and units. S(t) is dimensionless and equals 1 - F(t); it is not an annualized event rate. [1] For a drive surviving to age a, survival for another u units of time is S(a + u) / S(a), for u >= 0 and S(a) > 0, using the same population and time origin. This follows from conditional probability, not a constant-hazard assumption.

Relations

related
hazard-rate, right-censoring, left-truncation, kaplan-meier-estimator, afr

Citations

  1. NIST e-Handbook 8.1.2.2: Reliability or survival function (accessed 2026-10-13)

JSON: /data/terms/survival-function.json