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θ-stationary point processes and their second-order analysis

Published online by Cambridge University Press:  14 July 2016

Karen Byth
Karen Byth*
Affiliation:
The Australian National University
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Abstract

The concept of θ-stationarity for a simple second-order point process in R2 is introduced. This concept is closely related to that of isotropy. Some θ-stationary processes are defined. Techniques are given for simulating realisations of these processes. The second-order analysis of these processes which have an obvious point of reference or origin is considered. Methods are suggested for modelling spatial patterns which are realisations of such processes. These methods are illustrated using simulated data. The ideas are extended to multitype point processes.

Keywords

ISOTROPYMOMENT MEASURESθ-STATIONARY POINT PROCESSESSPATIAL POINT PROCESSES
Type
Research Papers
Information
Journal of Applied Probability , Volume 18 , Issue 4 , December 1981 , pp. 864 - 878
Copyright
Copyright © Applied Probability Trust 1981 

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