%0 Journal Article %1 frigessi1990parameter %A Frigessi, Arnoldo %A Piccioni, Mauro %D 1990 %J Stochastic Processes and their Applications %K Ising_model Markov_random_field context-dependent-mutation image_reconstruction %N 2 %P 297 - 311 %R http://dx.doi.org/10.1016/0304-4149(90)90020-S %T Parameter estimation for two-dimensional Ising fields corrupted by noise %U http://www.sciencedirect.com/science/article/pii/030441499090020S %V 34 %X 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.

@article{frigessi1990parameter, 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.}, added-at = {2014-05-28T13:20:26.000+0200}, author = {Frigessi, Arnoldo and Piccioni, Mauro}, biburl = {https://www.bibsonomy.org/bibtex/256722817d5bbcd77ad1783c2fa13e4da/peter.ralph}, description = {Uses estimators based on lag-1 and lag-2 spatial sample correlations.}, doi = {http://dx.doi.org/10.1016/0304-4149(90)90020-S}, interhash = {5d4f523e04ba0c7397d64623b1746854}, intrahash = {56722817d5bbcd77ad1783c2fa13e4da}, issn = {0304-4149}, journal = {Stochastic Processes and their Applications }, keywords = {Ising_model Markov_random_field context-dependent-mutation image_reconstruction}, number = 2, pages = {297 - 311}, timestamp = {2014-05-28T13:20:26.000+0200}, title = {Parameter estimation for two-dimensional {Ising} fields corrupted by noise }, url = {http://www.sciencedirect.com/science/article/pii/030441499090020S}, volume = 34, year = 1990 }