Detecting dependence between marks and locations of marked point processes


Schlather, Martin ; Ribeiro, Paulo J. ; Diggle, Peter J.


Document Type: Article
Year of publication: 2004
The title of a journal, publication series: Journal of the Royal Statistical Society / Series B, Statistical Methodolgy
Volume: 66
Issue number: 1
Page range: 79-93
Place of publication: London
Publishing house: Royal Statistical Soc.
ISSN: 0035-9246, 1369-7412
Publication language: English
Institution: School of Business Informatics and Mathematics > Mathematische Statistik (Schlather 2012-)
Subject: 310 Statistics
Keywords (English): Independence test, mark correlation function, mark variogram, nearest neighbour, preferential sampling, random field model
Abstract: Two characteristics for stationary and isotropic marked point processes, E(r)and V(r), are introduced that allow for investigating mark-point interactions. These quantities are functions of the inter-point distance rand denote the conditional expectation and the conditional variance of a mark, respectively, given there is a further point of the process a distance rapart. Tests based on Eand Vare presented that help to decide whether the values of the marks can be modelled by random field that is independent of the unmarked point process. We demonstrate the use of our approach for three data sets in forestry.

Dieser Datensatz wurde nicht während einer Tätigkeit an der Universität Mannheim veröffentlicht, dies ist eine Externe Publikation.




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Schlather, Martin ; Ribeiro, Paulo J. ; Diggle, Peter J. (2004) Detecting dependence between marks and locations of marked point processes. Journal of the Royal Statistical Society / Series B, Statistical Methodolgy London 66 1 79-93 [Article]


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