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A command to create a PointProcess object that represents a Poisson process.
A Poisson process is a stationary point process with a fixed density λ, which means that there are, on the average, λ events per second.
First, the number of points N in the time domain is determined. Its expectation value is
λ = (tmax – tmin) · density |
but its actual value is taken from the Poisson distribution:
p(n) = (λn / n!) e–λ |
Then, N points are computed throughout the time domain, according to a uniform distribution:
p(t) = 1 / (tmax – tmin) for t ∈ [tmin, tmax] |
p(t) = 0 outside [tmin, tmax] |
© ppgb, October 5, 2004