Dimension reduction in extended quermass-interaction process

DOI10.1007/s11009-013-9343-xzbMath1319.60020OpenAlexW2157502153MaRDI QIDQ479141

Kateřina Staňková Helisová, Jakub Staněk

Publication date: 5 December 2014

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-013-9343-x

zbMATH Keywords

dimension reductionprincipal componentsMCMC maximum likelihoodquermass-interaction process

Mathematics Subject Classification ID

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

Related Items (2)

Quermass-interaction process with convex compact grains. ⋮ On the use of particle Markov chain Monte Carlo in parameter estimation of space-time interacting discs

Cites Work

• 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
• Sliced Inverse Regression and Independence in Random Marked Sets with Covariates
• 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
• Sliced Inverse Regression for Dimension Reduction
• Quermass-interaction processes: conditions for stability
• An Introduction to the Theory of Point Processes
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