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  • 1.
    Järpe, Eric
    Department of Statistics, Göteborg University, Göteborg, Sweden.
    Surveillance of the Interaction Parameter of the Ising Model1999In: Communications in Statistics - Theory and Methods, ISSN 0361-0926, E-ISSN 1532-415X, Vol. 28, no 12, p. 3009-3027Article in journal (Refereed)
    Abstract [en]

    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 the convergence to normal distribution is rapid. The main result is that when the lattice is large, all approximations are better in several respects. It is shown that, for large lattice sizes, earlier results on surveillance of a normally distributed random variable can be used in cases of most interest. The expected delay of alarm at a fixed level of false alarm probability is examined for some examples. Copyright © 1999 by Marcel Dekker, Inc.

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