Selection of the neighborhood structure for space-time Markov random field models

DOI10.1007/BF02509829zbMath1145.62376WikidataQ58205283 ScholiaQ58205283MaRDI QIDQ1766979

Francesco Lagona, Giovanna Jona Lasinio

Publication date: 3 March 2005

Published in: Statistical Methods and Applications (Search for Journal in Brave)

zbMATH Keywords

weak consistencyauto-logisticCAR, Markov random fieldspenalized pseudolikelihood

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Markov processes: estimation; hidden Markov models (62M05)

Cites Work

• Unnamed Item
• Unnamed Item
• Bayesian image restoration, with two applications in spatial statistics (with discussion)
• Estimating the dimension of a model
• On the quality of likelihood-based estimators in spatial autoregressive models when the data dependence structure is misspecified
• On the underfitting and overfitting sets of models chosen by order selection criteria.
• A consistent model selection procedure for Markov random fields based on penalized pseudolikelihood
• Fitting autoregressive models for prediction
• Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
• Inference for Discrete Markov Fields: The Simplest Nontrivial Case
• A Non-Homogeneous Hidden Markov Model for Precipitation Occurrence
• Hierarchical Spatio-Temporal Mapping of Disease Rates
• Markov Chain Monte Carlo for Autologistic Regression Models with Application to the Distribution of Plant Species
• Estimation and choice of neighbors in spatial-interaction models of images
• Probability Inequalities for Sums of Bounded Random Variables
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
• Modeling and exploring multivariate spatial variation: A test procedure for isotropy of multivariate spatial data