Shot noise weighted processes: A new family of spatial point processes

Shot noise weighted processes: A new family of spatial point processes

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Article ID: iaor20003226
Country: United States
Volume: 14
Issue: 3
Start Page Number: 715
End Page Number: 734
Publication Date: May 1998
Journal: Communications in Statistics - Stochastic Models
Authors: ,
Abstract:

This paper proposes a new family of spatial point processes defined by their density with respect to a Poisson process on a bounded window. The density will be specified in terms of functionals of shot noise processes with various influence functions, for example the coverage function. Stability, Markov properties, stationary extensions and limit behaviour are studied. Examples and simulated realisations are given to indicate the applicability of shot noise weight processes.

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