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    Leverage and Influence Diagnostics for Spatial Point Processes

    Access Status
    Fulltext not available
    Authors
    Baddeley, Adrian
    Chang, Y.
    Song, Y.
    Date
    2013
    Type
    Journal Article
    
    Metadata
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    Citation
    Baddeley, A. and Chang, Y. and Song, Y. 2013. Leverage and Influence Diagnostics for Spatial Point Processes. Scandinavian Journal of Statistics. 40 (1): pp. 86-104.
    Source Title
    Scandinavian Journal of Statistics
    DOI
    10.1111/j.1467-9469.2011.00786.x
    ISSN
    0303-6898
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/42428
    Collection
    • Curtin Research Publications
    Abstract

    For a spatial point process model fitted to spatial point pattern data, we develop diagnostics for model validation, analogous to the classical measures of leverage and influence in a generalized linear model. The diagnostics can be characterized as derivatives of basic functionals of the model. They can also be derived heuristically (and computed in practice) as the limits of classical diagnostics under increasingly fine discretizations of the spatial domain. We apply the diagnostics to two example datasets where there are concerns about model validity. © 2012 Board of the Foundation of the Scandinavian Journal of Statistics.

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