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    Hybrids of Gibbs point process models and their implementation

    Access Status
    Fulltext not available
    Authors
    Baddeley, Adrian
    Turner, R.
    Mateu, J.
    Bevan, A.
    Date
    2013
    Type
    Journal Article
    
    Metadata
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    Citation
    Baddeley, A. and Turner, R. and Mateu, J. and Bevan, A. 2013. Hybrids of Gibbs point process models and their implementation. Journal of Statistical Software. 55 (11): pp. 1-43.
    Source Title
    Journal of Statistical Software
    ISSN
    1548-7660
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/29082
    Collection
    • Curtin Research Publications
    Abstract

    We describe a simple way to construct new statistical models for spatial point pattern data. Taking two or more existing models (finite Gibbs spatial point processes) we multiply the probability densities together and renormalise to obtain a new probability density. We call the resulting model a hybrid. We discuss stochastic properties of hybrids, their statistical implications, statistical inference, computational strategies and software implementation in the R package spatstat. Hybrids are particularly useful for constructing models which exhibit interaction at different spatial scales. The methods are demonstrated on a real data set on human social interaction. Software and data are provided.

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