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MaPhySto
Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation




MPS-RR 2001-40
November 2001




A primer on perfect simulation for spatial point processes

by:

Jesper Møller

Kasper K. Berthelsen

Abstract

This primer provides a self-contained exposition of the case where spatial birth-and-death processes are used for perfect simulation of locally stable point processes. Particularly, a simple dominating coupling from the past (CFTP) algorithm and the CFTP algorithms introduced in Kendall (1998), Kendall & Møller (2000), and Fernández, Ferrari & Garcia (2000) are studied. Some empirical results for the algorithms are discussed.

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This paper has now been published in Submitted.