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Detecting dependence between marks and locations of marked point processes

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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.
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Keywords: Independence test; Mark correlation function; Mark variogram; Nearest neighbour; Preferential sampling; Random-field model

Document Type: Research Article

Publication date: February 1, 2004

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