Poisson process

Spatial Poisson process

An inhomogeneous Poisson process defined in the plane ${\displaystyle \textstyle \mathbb {R} ^{2}}$ is called a spatial Poisson process It is defined with intensity function and its intensity measure is obtained performing a surface integral of its intensity function over some region. For example, its intensity function (as a function of Cartesian coordinates ${\textstyle x}$ and ${\displaystyle \textstyle y}$) can be