Document Type

Journal Article

Department/Unit

Department of Mathematics

Language

English

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.

Keywords

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

Publication Date

6-30-2006

Source Publication Title

Journal of Statistical Computation and Simulation

Volume

7

Issue

76

Start Page

585

End Page

591

Publisher

Taylor & Francis

Peer Reviewed

1

Copyright

This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of Statistical Computation and Simulation in July 2006, available online: http://dx.doi.org/10.1080/00949650412331321043.

Funder

This research was supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. HKBU2048/02P) and an FRG grant of the Hong Kong Baptist University.

DOI

10.1080/00949650412331321043

ISSN (print)

00949655

ISSN (electronic)

15635163

Included in

Mathematics Commons

Share

COinS