Marked Gibbs processes and asymptotic normality of maximum pseudo-likelihood estimators

This paper discusses the concept of marked stationary Gibbs processes which are globally defined on the continuous state space R-nu and an arbitrary m ark space M. The framework is the theory of superstable potential Gibbs pro cesses of RUELLE [13]. The maximum pseudo - likelihood estimator of marked potentials and its strong consistency are considered. Finally the asymptoti c normality of maximum pseudo-likelihood estimators for the finite-range ma rked potential case is shown, which is an extension of JENSEN & KUNSCH (199 4).