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Detecting dependence between marks and locations of marked point processes.

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<mark>Journal publication date</mark>1/02/2004
<mark>Journal</mark>Journal of the Royal Statistical Society: Series B (Statistical Methodology)
Issue number1
Volume66
Number of pages15
Pages (from-to)79-93
Publication StatusPublished
<mark>Original language</mark>English

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.

Bibliographic note

RAE_import_type : Journal article RAE_uoa_type : Statistics and Operational Research