Perfect simulation and moment properties for the Matérn type III process

Published

Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Møller, J; Huber, ML; Wolpert, RL

Published Date

  • November 1, 2010

Published In

Volume / Issue

  • 120 / 11

Start / End Page

  • 2142 - 2158

International Standard Serial Number (ISSN)

  • 0304-4149

Digital Object Identifier (DOI)

  • 10.1016/j.spa.2010.06.002

Citation Source

  • Scopus