The SPP Procedure

Inhomogeneous Poisson Process Model Fitting

An inhomogeneous Poisson process that has intensity function $\lambda (s)$ is a point process in which the number of points that fall in a spatial region W, $N(X\cap W)$ has the following expectation:

\[  \mathbb {E}[N(X\cap W)] = \int _ W \lambda (s) ds  \]

Also, the $N(X\cap W)$ points are independent and identically distributed for disjoint subsets W with a probability density of

\[  f(s) = \frac{\lambda (s)}{\int _ W \lambda (s)ds}  \]