Gibbs point processes for studying the development of spatial-temporal stochastic processes.

DOI10.1016/S0167-9473(00)00028-1zbMath1080.62066MaRDI QIDQ5940875

Renshaw, Eric, Aila Särkkä

Publication date: 20 August 2001

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

zbMATH Keywords

Immigration-interaction-deathInhibitionMarked Gibbs point processesMaximum pseudo-likelihoodPair potential functionsSpace-timeStrauss-type processes

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Inference from stochastic processes (62M99)

Related Items (14)

Parameter estimation for growth interaction processes using spatio-temporal information ⋮ Functional marked point processes: a natural structure to unify spatio-temporal frameworks and to analyse dependent functional data ⋮ Some edge correction methods for marked spatio-temporal point process models ⋮ Estimating inter-group interaction radius for point processes with nested spatial structures ⋮ Analysis of forest thinning strategies through the development of space-time growth-interaction simulation models ⋮ Space-time dependence dynamics for birth-death point processes ⋮ A second order approach to analyse spatial point patterns with functional marks ⋮ A Note on Continuous Spatial-Temporal Dynamics of Stochastic Processes ⋮ On Random and Gibbsian Particle Motions for Point Processes Evolving in Space and Time ⋮ On soft and hard particle motions for stochastic marked point processes ⋮ The analysis of marked point patterns evolving through space and time ⋮ Growing and reproducing particles evolving through space and time ⋮ Disentangling mark/point interaction in marked-point processes ⋮ Residual Analysis for Spatial Point Processes (with Discussion)

Uses Software

• spatial

Cites Work

• Pseudolikelihood for exponential family models of spatial point processes
• An introduction to the theory of point processes
• Inhomogeneous Markov point processes by transformation
• Estimation of Interaction Potentials of Marked Spatial Point Patterns Through the Maximum Likelihood Method
• Interaction Pair-potentials for a System of Ant's Nests
• Non‐ and semi‐parametric estimation of interaction in inhomogeneous point patterns
• The development of space-time interaction processes with given spectral structure
• Practical Maximum Pseudolikelihood for Spatial Point Patterns
• Perfect simulation using dominating processes on ordered spaces, with application to locally stable point processes
• The chemical basis of morphogenesis
• Multitype Spatial Point Patterns with Hierarchical Interactions
• Annealing Markov Chain Monte Carlo with Applications to Ancestral Inference
• Exact sampling with coupled Markov chains and applications to statistical mechanics
• Nearest-Neighbour Markov Point Processes and Random Sets
• ON STATIONARY PROCESSES IN THE PLANE
• Statistical Inference for Spatial Processes
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