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    Adjusted composite likelihood ratio test for spatial Gibbs point processes

    Access Status
    Open access via publisher
    Authors
    Baddeley, Adrian
    Turner, R.
    Rubak, E.
    Date
    2015
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Baddeley, A. and Turner, R. and Rubak, E. 2015. Adjusted composite likelihood ratio test for spatial Gibbs point processes. Journal of Statistical Computation and Simulation.
    Source Title
    Journal of Statistical Computation and Simulation
    DOI
    10.1080/00949655.2015.1044530
    Additional URLs
    https://vbn.aau.dk/en/publications/adjusted-composite-likelihood-ratio-test-for-spatial-gibbs-point-
    ISSN
    0094-9655
    School
    Department of Mathematics and Statistics
    Funding and Sponsorship
    http://purl.org/au-research/grants/arc/DP130102322
    http://purl.org/au-research/grants/arc/DP130104470
    URI
    http://hdl.handle.net/20.500.11937/35832
    Collection
    • Curtin Research Publications
    Abstract

    © 2015 Taylor & Francis We investigate an analogue of the likelihood ratio test for spatial Gibbs point process models fitted by maximum pseudolikelihood or maximum composite likelihood. The test statistic must be adjusted in order to obtain an asymptotic (Formula presented.) distribution under the null hypothesis. Adjustments developed for composite likelihoods of finite systems of random variables are adapted to the point process setting. Recent results in point process theory are used to estimate the composite information J and sensitivity H from the point pattern data. In a large simulation experiment we find that the proposed test is exact if J and H are known exactly; it is slightly conservative when J and H are estimated from the data.

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