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Detecting dependence between marks and locations of marked point processes.

Diggle, Peter J. and Ribeiro, Paulo J. and Schlather, Martin S. (2004) Detecting dependence between marks and locations of marked point processes. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 66 (1). pp. 79-93. ISSN 1369-7412

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Abstract

We introduce two characteristics for stationary and isotropic marked point proces- ses, E(h) and V(h), and describe their use in investigating mark–point interactions. These quantities are functions of the interpoint distance h and denote the conditional expectation and the conditional variance of a mark respectively, given that there is a further point of the process a distance h away. We present tests based on E and V for the hypothesis that the values of the marks can be modelled by a random field which is independent of the unmarked point process. We apply the methods to two data sets in forestry.

Item Type: Article
Journal or Publication Title: Journal of the Royal Statistical Society: Series B (Statistical Methodology)
Additional Information: RAE_import_type : Journal article RAE_uoa_type : Statistics and Operational Research
Subjects: Q Science > QA Mathematics
Departments: Faculty of Health and Medicine > Medicine
VC's Office
Faculty of Science and Technology > Mathematics and Statistics
ID Code: 2413
Deposited By: ep_importer
Deposited On: 31 Mar 2008 14:23
Refereed?: Yes
Published?: Published
Last Modified: 24 Oct 2014 00:02
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/2413

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