Testing the complete spatial randomness by Diggle's test without an arbitrary upper limit

L. Ho*, Sung Nok CHIU

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

Diggle's test for complete spatial randomness of a given point pattern uses the discrepancy between the estimated and the theoretical form of a summary function as the test statistic. One commonly used discrepancy measure is the supremum of the pointwise differences over a suitably chosen range; the upper bound of the range is an arbitrary but sometimes crucial parameter. This paper shows that when we use Ripley's K -function as the summary function, it is possible to avoid using an arbitrary upper bound by using adapted distance dependent intensity estimators.

Original languageEnglish
Pages (from-to)585-591
Number of pages7
JournalJournal of Statistical Computation and Simulation
Volume76
Issue number7
DOIs
Publication statusPublished - Jul 2006

Scopus Subject Areas

  • Statistics and Probability
  • Modelling and Simulation
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

User-Defined Keywords

  • Complete spatial randomness
  • Edge-correction
  • Intensity estimator
  • K -function
  • Spatial point pattern

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