Surveillance of spatial patterns - Change of interaction in the Ising model

Abstract

Surveillance to detect changes of spatial patterns is of interest in many areas such as environmental control and regional analysis. Here the interaction parameter of the Ising model, is considered. A minimal sufficient statistic and its asymptotic distribution are used. It is demonstrated that earlier results on surveillance of a normally distributed random variable can be used for interesting cases. Properties such as expected delay and false alarm are examined for some examples.