Document Type

Journal Article

Department/Unit

Department of Mathematics

Language

English

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/

Keywords

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

Publication Date

6-2002

Source Publication Title

Biometrika

Volume

89

Issue

2

Start Page

411

End Page

421

Publisher

Oxford University Press

Peer Reviewed

1

Copyright

This is a pre-copyedited, author-produced version of an article accepted for publication in Biometrika following peer review. The version of record P. Grabarnik, S. N. Chiu; Goodness‐of‐fit test for complete spatial randomness against mixtures of regular and clustered spatial point processes. Biometrika 2002; 89 (2): 411-421. doi: 10.1093/biomet/89.2.411 is available online at: https://doi.org/10.1093/biomet/89.2.411.

Funder

This research was supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China, and a Faculty Research Grant of the Hong Kong Baptist University.

DOI

10.1093/biomet/89.2.411

Link to Publisher's Edition

https://doi.org/10.1093/biomet/89.2.411

ISSN (print)

00063444

ISSN (electronic)

14643510

Included in

Mathematics Commons

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