Abstract: Shot noise Cox processes constitute a large class of Cox and Poisson cluster processes in ℝ d , including Neyman-Scott, Poisson-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.
Publication Year: 2003
Publication Date: 2003-08-13
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 148
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot