Tests for independence between marks and points of a marked point process

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


A convenient assumption while modeling a marked point process is that the observations (i.e., marks) and the locations (i.e., points) are independent. We propose new graphical and formal testing approaches to test for this assumption. The proposed graphical procedures are easy to obtain and can be used to diagnose the nature and range of dependence between marks and points. The formal testing procedures require only minimal conditions on marks and thus can be applied to a variety of settings. We illustrate these procedures through a simulation study and an application to some real data.

Original languageEnglish (US)
Pages (from-to)126-134
Number of pages9
Issue number1
StatePublished - Mar 2006


  • Mark G function
  • Mark K function
  • Marked point process
  • Permutation

ASJC Scopus subject areas

  • Statistics and Probability
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics


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