Leverage and Influence Diagnostics for Spatial Point Processes

Adrian Baddeley, Y. Chang, Y. Song

    Research output: Contribution to journalArticle

    7 Citations (Scopus)

    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.
    Original languageEnglish
    Pages (from-to)86-104
    JournalScandinavian Journal of Statistics
    Volume40
    Issue number1
    DOIs
    Publication statusPublished - 2013

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