Abstract
On a finite sublattice .4 of Z’, consider a free-boundary
Ising model X with inverse temperature
p > 0 and without external field. Assume that each spin is flipped with unknown probability
E,
independently
for each site and of X. This has been suggested as a stochastic model for digital
images. In this paper estimators are proposed for p and F and shown to be consistent as .I T Z*.
They are very easily computable
since they do not require any evaluation of conditional
statistics.
Numerical experiments
are reported on the performance
of these statistics on a lattice of moderate
size.
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