Shot noise cox processes

Shot noise Cox processes constitute a large class of Cox and Poison cluster processes in Rd , including Neyman-Scott, Poison- gamma and shot noise G Cox processes. It is demonstrated that, due to the structure of such models, a number of useful and general results can easily be established. The focus is on the probabilistic aspects with a view to statistical applications, particularly results for summary statistics, reduced Palm distributions, simulation with or without edge effects, conditional simulation of the intensity function and local and spatial Markov properties.