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:

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