A goodness-of-fit test for inhomogeneous spatial Poisson processes

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

We introduce a formal testing procedure to assess the fit of an inhomogeneous spatial Poisson process model, based on a discrepancy measure function that is constructed from residuals obtained from the fitted model. We derive the asymptotic distributional properties of and develop a test statistic based on them. Our test statistic has a limiting standard normal distribution, so that the test can be performed by simply comparing the test statistic with readily available critical values. We perform a simulation study to assess the performance of the proposed method and apply it to a real data example.

Original languageEnglish (US)
Pages (from-to)831-845
Number of pages15
JournalBiometrika
Volume95
Issue number4
DOIs
StatePublished - Dec 1 2008
Externally publishedYes

Keywords

  • Goodness-of-fit test
  • Inhomogeneous spatial Poisson process
  • Residual diagnostic

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Agricultural and Biological Sciences (miscellaneous)
  • Agricultural and Biological Sciences(all)
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

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