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Perfect simulation using dominating processes on ordered spaces, with application to locally stable point processes

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UNSPECIFIED (2000) Perfect simulation using dominating processes on ordered spaces, with application to locally stable point processes. ADVANCES IN APPLIED PROBABILITY, 32 (3). pp. 844-865. ISSN 0001-8678

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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.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Journal or Publication Title: ADVANCES IN APPLIED PROBABILITY
Publisher: APPLIED PROBABILITY TRUST
ISSN: 0001-8678
Date: September 2000
Volume: 32
Number: 3
Number of Pages: 22
Page Range: pp. 844-865
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/12820

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