On the use of particle Markov chain Monte Carlo in parameter estimation of space-time interacting discs

DOI10.1007/s11009-013-9367-2zbMath1319.60022OpenAlexW1990093357MaRDI QIDQ479154

Kateřina Staňková Helisová, Viktor Beneš, Markéta Zikmundová

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/s11009-013-9367-2

zbMATH Keywords

model with interacting discsparticle Metropolis-Hastings algorithmspherical contact distribution function

Mathematics Subject Classification ID

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

Related Items (1)

Quermass-interaction process with convex compact grains.

Cites Work

• Unnamed Item
• Unnamed Item
• Dimension reduction in extended quermass-interaction process
• Lévy-based growth models
• Spatio-temporal model for a random set given by a union of interacting discs
• Asymptotic Palm likelihood theory for stationary point processes
• On the estimation of intrinsic volume densities of stationary random closed sets
• Sequential Monte Carlo Methods in Practice
• Structured Spatio-Temporal Shot-Noise Cox Point Process Models, with a View to Modelling Forest Fires
• Likelihood Inference for Unions of Interacting Discs
• Power diagrams and interaction processes for unions of discs
• Particle Markov Chain Monte Carlo Methods
• Quermass-interaction processes: conditions for stability
• An Introduction to the Theory of Point Processes

This page was built for publication: On the use of particle Markov chain Monte Carlo in parameter estimation of space-time interacting discs