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Asymptotic properties of Takacs-Fiksel estimation method for Gibbs point processes. (English) Zbl 1091.62524

Summary: A Takacs-Fiksel type estimator is proposed for stationary Gibbs point processes when many independent realizations are available. Strong consistency and asymptotic normality of this estimator are proved. Furthermore, strong consistency of the estimator is obtained in the single realization case.

MSC:

62M09 Non-Markovian processes: estimation
62F12 Asymptotic properties of parametric estimators
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