# Also in the Article

True and observed hazards

Procedure

Given expression (1), the relation between the hazard $λ~(t)$ of the recorded event (observed hazard) and the hazard $λ(t)$ of the true event (true hazard) follows (cf. Additional file 2: Web Appendix):

where the weight $w(t)$ is defined as

The observed hazard is thus the sum of the hazard of recording the true event and the false-positive rate. The sensitivity $se$ accounts for the possibility of not recording the true event. The weight $w(t)$ equals the ratio of the true survival probability and the survival probability observed in absence of false positives and adjusts for the fact that a true but unrecorded event may have already removed the subject from the study’s risk set before time $t$. It holds that $w(t)≤1$.

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