Asymptotic Properties of Takacs-Fiksel Estimation Method for GIBBS Point Processes

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.

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Bibliographic Details
Published in:Statistics (Berlin, DDR) DDR), 1997-01, Vol.30 (1), p.69-89
Main Author: Billiot, Jean-Michel
Format: Article
Language:English
Subjects:
asymptotic normality
consistency
Gibbs point processes
interaction potential
Takacs-Fiksel estimation method
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Description
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.
ISSN:0233-1888
1029-4910
DOI:10.1080/02331889708802601