Towards optimal Takacs–Fiksel estimation

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  • Jean François Coeurjolly
  • Yongtao Guan
  • Mahdieh Khanmohammadi
  • Rasmus Waagepetersen

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.

Original languageEnglish
JournalSpatial Statistics
Volume18
Issue numberPart B
Pages (from-to)396-411
Number of pages16
ISSN2211-6753
DOIs
Publication statusPublished - 2016

    Research areas

  • Gibbs point processes, Godambe information, Optimal estimation, Pseudolikelihood, Spatial point processes

ID: 172094656