information:classification
Moment measure

For a general Poisson point process with intensity measure Λ {\displaystyle \textstyle \Lambda } the first moment measure is its intensity measure:

which for a homogeneous Poisson point process with constant intensity λ {\displaystyle \textstyle \lambda } means:

where | B | {\displaystyle \textstyle |B|} is the length, area or volume (or more generally, the Lebesgue measure) of B {\displaystyle \textstyle B}.