Multi angle The Poisson-saddlepoint approximation
Auteurs : Baddeley, Adrian (Auteur de la Conférence)
CIRM (Editeur )
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Résumé : Gibbs spatial point processes are important models in theoretical physics and in spatial statistics. After a brief survey of Gibbs point processes, we will present a method for approximating their most important characteristic, the intensity of the process. The method has some affinity with the classical saddlepoint approximations of probability densities. For pairwise-interaction processes the approximation can be computed directly : it performs very well in many cases, but not in all cases. For higher-order interactions, we invoke limit results from stochastic geometry due to Roger Miles and the late Peter Hall, in order to compute the approximation.Codes MSC :
Joint work with Gopalan Nair.
60G55 - Point processes
62E17 - Approximations to distributions (nonasymptotic)
82B21 - Continuum models (systems of particles, etc.)