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

P. Grabarnik; Sung Nok CHIU

doi:10.1093/biomet/89.2.411

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

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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 language	English
Pages (from-to)	411-421
Number of pages	11
Journal	Biometrika
Volume	89
Issue number	2
DOIs	https://doi.org/10.1093/biomet/89.2.411
Publication status	Published - 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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10.1093/biomet/89.2.411

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

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