Multi-colour random fields with polygonal realisations

Details Multi-colour random fields with polygonal realisations Multi-colour random fields with polygonal realisations

2012-04-12

arxiv.org/abs/1204.2664v1

Statistics

Methodology

Scientific paper

We introduce a class of random fields that can be understood as discrete versions of multi-colour polygonal fields built on regular linear tessellations. We focus first on consistent polygonal fields, for which we show consistency, Markovianity, and solvability by means of a dynamic representation. This representation also forms the basis for new sampling techniques for Gibbsian modifications of such fields, a class which covers lattice based random fields.

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