Goodness-of-fit test for complete spatial randomness against mixtures of regular and clustered spatial point processes

P. Grabarnik*, Sung Nok CHIU

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)

Abstract

A goodness-of-fit test statistic for spatial point processes is proposed and shown to have an asymptotic chi-squared distribution if the underlying point process is Poisson. Simulations demonstrate that the test, when testing for complete spatial randomness, is more sensitive to mixtures of regular and clustered point processes than the tests using the nearest neighbour distance distribution, the second- or third-order characteristics.

Original languageEnglish
Pages (from-to)411-421
Number of pages11
JournalBiometrika
Volume89
Issue number2
DOIs
Publication statusPublished - 2002

Scopus Subject Areas

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

User-Defined Keywords

  • Clustered point pattern
  • Forest stand
  • Goodness of fit
  • Poisson process
  • Regular point pattern

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