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Second-order Characteristics for Stochastic Structures Connected with Gibbs Point Processes

โœ Scribed by Dietrich Stoyan; Pavel Grabarnik


Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
245 KB
Volume
151
Category
Article
ISSN
0025-584X

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โœฆ Synopsis


The points of a stationary and isotropic GIBBS point process are marked by exp(corresponding local energy). For the mean mark and two mark product density functions very simple formulae are true which contain the intensity and the pair potential function of the process. Furthermore, there is ii close connection between the pair correlation function of the process and the covariance fnnction of the random field given by the conditional intensity.


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