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    Score, Pseudo-Score and Residual Diagnostics for Spatial Point Process Models

    Access Status
    Open access via publisher
    Authors
    Baddeley, Adrian
    Rubak, E.
    Moller, J.
    Date
    2011
    Type
    Journal Article
    
    Metadata
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    Citation
    Baddeley, A. and Rubak, E. and Moller, J. 2011. Score, Pseudo-Score and Residual Diagnostics for Spatial Point Process Models. Statistical Science. 26 (4): pp. 613-646.
    Source Title
    STATISTICAL SCIENCE
    DOI
    10.1214/11-STS367
    ISSN
    0883-4237
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/7596
    Collection
    • Curtin Research Publications
    Abstract

    We develop new tools for formal inference and informal model validation in the analysis of spatial point pattern data. The score test is generalized to a “pseudo-score” test derived from Besag’s pseudo-likelihood, and to a class of diagnostics based on point process residuals. The results lend theoretical support to the established practice of using functional summary statistics, such as Ripley’s K-function, when testing for complete spatial randomness; and they provide new tools such as the compensator of the K-function for testing other fitted models. The results also support localization methods such as the scan statistic and smoothed residual plots. Software for computing the diagnostics is provided.

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