Commonly used special cases

• Poisson spatial point process:

  in any subregion \(A_i\) of \(A\):

1. the number of events follows a Poisson distribution:

\[N(A_i) \sim \mathcal{Poisson}(\mu_{A_i})\]

With:

\[\mu_{A_i} = E[N(A_i)] = \int_{A_i}{\lambda(x) dx}\]