Perfect simulation and moment properties for the Matérn type III process
In a seminal work, Bertil Matérn introduced several types of processes for modeling repulsive point processes. In this paper an algorithm is presented for the perfect simulation of the Matrén III process within a bounded window in ℝd, fully accounting for edge effects. A simple upper bound on the mean time needed to generate each point is computed when interaction between points is characterized by balls of fixed radius R. This method is then generalized to handle interactions resulting from use of random grains about each point. This includes the case of random radii as a special case. In each case, the perfect simulation method is shown to be provably fast, making it a useful tool for analysis of such processes. © 2010 Elsevier B.V. All rights reserved.
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Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0104 Statistics
- 0102 Applied Mathematics
Citation
Published In
DOI
ISSN
Publication Date
Volume
Issue
Start / End Page
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0104 Statistics
- 0102 Applied Mathematics