The paper suggests a new family of of spatial point processes distributions. They are defined by means of densities with respect to the Poisson point process within a bounded set. These densities are given in terms of a functional of the shot-noise process with a given influence function built for the Poisson point process. Stationary extension, properties and examples of such processes are discussed.

Geometric probability and stochastic geometry (msc 60D05), Point processes (msc 60G55), Spatial processes (msc 62M30)
CWI
Department of Operations Research, Statistics, and System Theory [BS]

van Lieshout, M.N.M, & Molchanov, I.S. (1995). Shot-noise-weighted processes : a new family of spatial point processes. Department of Operations Research, Statistics, and System Theory [BS]. CWI.