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math.ST updates on arXiv.org

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Towards optimal Takacs--Fiksel estimation
Jean-François Coeurjolly</name> <arxiv:affiliation>FIGAL</ · 2015-12-22 · via math.ST updates on arXiv.org

The Takacs--Fiksel method is a general approach to estimate the parameters of a spatial Gibbs point process. This method embraces standard procedures such as the pseudolikelihood and is defined via weight functions. In this paper we propose a general procedure to find weight functions which reduce the Godambe information and thus outperform pseudolikelihood in certain situations. The new procedure is applied to a standard dataset and to a recent neuroscience replicated point pattern dataset. Finally, the performance of the new procedure is investigated in a simulation study.

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