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- Title
Perfect Simulation for Length-interacting Polygonal Markov Fields in the Plane.
- Authors
Van Lieshout, M. N. M.; Schreiber, T.
- Abstract
The purpose of this paper was to construct perfect samplers for length-interacting Arak–Clifford–Surgailis polygonal Markov fields in the plane with nodes of order 2 ( V-shaped nodes). This is achieved by providing for the polygonal fields a hard core marked point process representation with individual points carrying polygonal loops as their marks, so that the coupling from the past and clan of ancestors routines can be adopted.
- Subjects
MARKOV processes; STOCHASTIC processes; SIMULATION methods &; models; NUMERICAL analysis; LINEAR statistical models; MATHEMATICAL statistics; SMOOTHNESS of functions; GAUSSIAN processes; DIFFUSION processes; PERFECT simulation (Statistics)
- Publication
Scandinavian Journal of Statistics, 2007, Vol 34, Issue 3, p615
- ISSN
0303-6898
- Publication type
Article
- DOI
10.1111/j.1467-9469.2006.00547.x