An Ising-type model for spatio-temporal interactions
Eric Järpe
Markov processes and related fields, Vol. 11, No. 3, 2005.

Abstract
A model which possesses both spatial and time dependence is the Markov chain Markov field. Here a special case of this, called spatio-temporal interaction model, and inference about its parameter for spatio-temporal interaction is considered. A statistic which is minimal sufficient for the interaction parameter and its asymptotic distribution are derived. Likelihood based inference such as estimation, hypothesis testing and monitoring are briefly examined.

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