Document Type

Journal Article

Department/Unit

Department of Mathematics

Language

English

Abstract

The generating function of a marginal distribution of the reduced Palm distribution of a spatial point process is considered. It serves as a bivariate summary function, providing more information than some other popular univariate summary functions, such as the reduced second-moment function and the nearest-neighbour distance distribution function. Simulation confirmed that the new summary function is more informative when applied to patterns that exhibit both clustering and regularity on the same scale of observation. © 2008 Taylor & Francis.

Keywords

Generating function, Reduced Palm distribution, Spatial point process

Publication Date

11-30-2007

Source Publication Title

Journal of Statistical Computation and Simulation

Volume

12

Issue

78

Start Page

1239

End Page

1248

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 December 2008, available online: http://dx.doi.org/10.1080/00949650701709327.

Funder

This research was partially supported by grants from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project Nos. HKBU2048/02P, HKBU200503 and HKBU200605) and a Faculty Research Grant of the Hong Kong Baptist University.

DOI

10.1080/00949650701709327

Link to Publisher's Edition

http://dx.doi.org/10.1080/00949650701709327

ISSN (print)

00949655

ISSN (electronic)

15635163

Included in

Mathematics Commons

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