Quermass-interaction process with convex compact grains.

DOI10.1007/s10492-016-0142-xzbMath1413.60005OpenAlexW2488165301MaRDI QIDQ331320

Jakub Staněk, Kateřina Staňková Helisová

Publication date: 26 October 2016

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/145796

zbMATH Keywords

repulsivenessrandom setattractivenessgerm-grain modelMarkov chain Monte Carlo simulationQuermass-interaction processRuelle stability

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Uses Software

• R

Cites Work

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• Dimension reduction in extended quermass-interaction process
• On the use of particle Markov chain Monte Carlo in parameter estimation of space-time interacting discs
• Spatio-temporal model for a random set given by a union of interacting discs
• On the estimation of intrinsic volume densities of stationary random closed sets
• Estimation of the Intensity Parameter of the Germ-Grain Quermass-Interaction Model when the Number of Germs is not Observed
• Likelihood Inference for Unions of Interacting Discs
• Power diagrams and interaction processes for unions of discs
• The existence of quermass-interaction processes for nonlocally stable interaction and nonbounded convex grains
• Quermass-interaction processes: conditions for stability

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