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The hazard rate is the instantaneous rate at which units that have survived until time $t$ die at $t$. The hazard ratio is the ratio of 2 specified hazards.

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Difference between hazard function and intensity function?

From the theory on counting processes and survival analysis, we find (informally) a simple relation between the hazard rate and the intensity function (refer to [1]). … Hazard rate $\alpha$ The hazard rate $\alpha(t)$ is the probability that the event $X_i$ happens at time $t$ given that it has not happened before $t$. …
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