Slides - Åbo Akademi

Failure Rate (ctd.)
Let T be the random variable measuring the uptime of some
system (or system component) S:
where
R(t) = P {T > t} = 1 − F (t) =
∫ ∞
t
f (t)dt,
– F (t) is the cumulative distribution function of T
– f (t) is the (failure) probability density function of T
The failure rate of the system can be defined as:
λ(t) = f (t)
R(t)