%0 Journal Article %1 comets1992consistency %A Comets, Francis %D 1992 %I The Institute of Mathematical Statistics %J The Annals of Statistics %K Markov_random_field consistency large_deviations pseudolikelihood statistics %N 1 %P 455--468 %R 10.1214/aos/1176348532 %T On Consistency of a Class of Estimators for Exponential Families of Markov Random Fields on the Lattice %U http://dx.doi.org/10.1214/aos/1176348532 %V 20 %X We prove strong consistency of a class of maximum objective estimators for exponential parametric families of Markov random fields on ℤd, including both maximum likelihood and pseudolikelihood estimators, using large deviation estimates. We also obtain the optimality property for the maximum likelihood estimator in the sense of Bahadur.

@article{comets1992consistency, abstract = {We prove strong consistency of a class of maximum objective estimators for exponential parametric families of Markov random fields on ℤd, including both maximum likelihood and pseudolikelihood estimators, using large deviation estimates. We also obtain the optimality property for the maximum likelihood estimator in the sense of Bahadur.}, added-at = {2014-05-28T13:34:51.000+0200}, ajournal = {Ann. Statist.}, author = {Comets, Francis}, biburl = {https://www.bibsonomy.org/bibtex/228fbbd66dd418b93fd6215e6c854b112/peter.ralph}, doi = {10.1214/aos/1176348532}, interhash = {ead71ec0faab250f34eb746022b2847e}, intrahash = {28fbbd66dd418b93fd6215e6c854b112}, journal = {The Annals of Statistics}, keywords = {Markov_random_field consistency large_deviations pseudolikelihood statistics}, month = {03}, number = 1, pages = {455--468}, publisher = {The Institute of Mathematical Statistics}, timestamp = {2014-05-28T13:34:51.000+0200}, title = {On Consistency of a Class of Estimators for Exponential Families of {Markov} Random Fields on the Lattice}, url = {http://dx.doi.org/10.1214/aos/1176348532}, volume = 20, year = 1992 }