Shigeru, Mase, Consistency of the Maximum Pseudo-Likelihood Estimator of Continuous State Space Gibbsian Processes, Annals of applied probability , 5(3), 1995, pp. 603-612
The purpose of this paper is to show the strong consistency of the maximum pseudo-likelihood estimator for continuous state space stationary Gibbsian processes under fairly general conditions. Besides the maximum pseudo-likelihood estimator of Besag, we consider its extension, the maximum pseudo-likelihood of second order. The framework of our study is Ruelle's theory of superstable potential functions.