Eric Järpe
Communications in Statistics, Theory and Methods, 1999, Vol. 28, No. 12
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 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 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.
Get a gzipped postscript copy of the paper here! (18 pages, 54 kb)
An attraction MRF |
No interaction |
A repulsion MRF
|