Perfect simulation using dominating processes on ordered spaces, with application to locally stable point processes
- 1 September 2000
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 32 (3) , 844-865
- https://doi.org/10.1239/aap/1013540247
Abstract
In this paper we investigate the application of perfect simulation, in particular Coupling from the Past (CFTP), to the simulation of random point processes. We give a general formulation of the method of dominated CFTP and apply it to the problem of perfect simulation of general locally stable point processes as equilibrium distributions of spatial birth-and-death processes. We then investigate discrete-time Metropolis-Hastings samplers for point processes, and show how a variant which samples systematically from cells can be converted into a perfect version. An application is given to the Strauss point process.Keywords
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