[MaPhySto logo]
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


Jesper Møller

Kasper K. Berthelsen


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.

Availability: [ gzipped ps-file ] [ pdf-file ]

[ Help on down-loading/viewing/printing ]

This paper has now been published in Bulletin of the Brazilian Mathematical Society 33, 351 - 367 (2002)