On consistency of a class of estimators for exponential families of Markov random fields on the lattice

DOI10.1214/aos/1176348532zbMath0787.62100OpenAlexW1980164324MaRDI QIDQ1192982

Francis Comets

Publication date: 27 September 1992

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176348532

zbMATH Keywords

convergence ratesconsistencyphase transitionmaximum likelihoodGibbs distributionsnonstationarynonergodicpseudo-maximum likelihood estimatorsBahadur optimalitylarge deviations estimatesparametric exponential non-Gaussian families of Markov random fields

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Random fields; image analysis (62M40) Large deviations (60F10)

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