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