19th workshop on stochastic geometry, stereology and image analysis / 19ème conférence en géométrie stochastique, stéréologie et analyse d'images

Collection 19th workshop on stochastic geometry, stereology and image analysis / 19ème conférence en géométrie stochastique, stéréologie et analyse d'images

Organizer(s) Calka, Pierre ; Coeurjolly, Jean-François ; Coupier, David ; Estrade, Anne ; Molchanov, Ilya

Date(s) 15/05/2017 - 19/05/2017

linked URL http://conferences.cirm-math.fr/1513.html

00:00:00 / 00:00:00

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The Poisson-saddlepoint approximation

By Adrian Baddeley

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.

Joint work with Gopalan Nair.

Information about the video

Date of recording 17/05/2017
Date of publication 25/05/2017
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19167903
Cite this video Baddeley, Adrian (17/05/2017). The Poisson-saddlepoint approximation. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19167903
URL https://dx.doi.org/10.24350/CIRM.V.19167903

Domain(s)

Bibliography

Baddeley, A., & Nair, G. (2012). Fast approximation of the intensity of Gibbs point processes. Electronic Journal of Statistics, 6, 1155-1169 - http://dx.doi.org/10.1214/12-EJS707

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