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

✍ 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
• DOI: 10.1002/mana.19911510108

✦ 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.