Computational issues for perfect simulation in spatial point patterns.

DOI10.1016/S1007-5704(03)00114-XzbMath1035.62097OpenAlexW2059713177MaRDI QIDQ1421552

Jordi Artés, Jorge Mateu, José Antonio López

Publication date: 26 January 2004

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(03)00114-x

zbMATH Keywords

Spatial statisticsArea-interaction processesComputational simulation methodsExact simulationStrauss processes

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Monte Carlo methods (65C05) Numerical analysis or methods applied to Markov chains (65C40)

Cites Work

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• An interruptible algorithm for perfect sampling via Markov chains
• A primer on perfect simulation for spatial point processes
• Area-interaction point processes
• Perfect simulation for interacting point processes, loss networks and Ising models.
• A model for clustering
• Perfect simulation of some point processes for the impatient user
• Perfect simulation and backward coupling^∗
• Perfect simulation using dominating processes on ordered spaces, with application to locally stable point processes
• Exact sampling with coupled Markov chains and applications to statistical mechanics
• How to couple from the past using a read-once source of randomness

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