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    Properties of residuals for spatial point processes

    Access Status
    Fulltext not available
    Authors
    Baddeley, Adrian
    Møller, J.
    Pakes, A.
    Date
    2008
    Type
    Journal Article
    
    Metadata
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    Citation
    Baddeley, A. and Møller, J. and Pakes, A. 2008. Properties of residuals for spatial point processes. Annals of the Institute of Statistical Mathematics. 60 (3): pp. 627-649.
    Source Title
    Annals of the Institute of Statistical Mathematics
    DOI
    10.1007/s10463-007-0116-6
    ISSN
    0020-3157
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/28155
    Collection
    • Curtin Research Publications
    Abstract

    For any point process in Rd that has a Papangelou conditional intensity ?, we define a random measure of 'innovations' which has mean zero. When the point process model parameters are estimated from data, there is an analogous random measure of 'residuals'. We analyse properties of the innovations and residuals, including first and second moments, conditional independence, a martingale property, and lack of correlation. Some large sample asymptotics are studied. We derive the marginal distribution of smoothed residuals by solving a distributional equivalence. © 2007 The Institute of Statistical Mathematics.

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