Poisson point process
Homogeneous Poisson point process

If a Poisson point process has a parameter of the form Λ = ν λ {\textstyle \Lambda =\nu \lambda }, where ν {\textstyle \nu } is Lebesgue measure (that is, it assigns length, area, or volume to sets) and λ {\textstyle \lambda } is a constant, then the point process is called a homogeneous or stationary Poisson point process. The parameter, called rate or intensity, is related to the expected (or average) number of Poisson points existing in some bounded region, where rate is usually used when the underlying space has one dimension. The parameter λ {\textstyle \lambda } can be interpreted as the average number of points per some unit of extent such as length, area, volume, or time, depending on the underlying mathematical space, and it is also called the mean density or mean rate; see Terminology.
detectable_content:number_placeholders[8]