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Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

MPS-RR 1998-31
December 1998

Non- and semi-parametric estimation of interaction in inhomogeneous point patterns


Jesper Møller

Adrian Baddeley, Rasmus Waagepetersen


We develop methods for analysing the interaction or depedence between points in a spatial point pattern, when the pattern is spatially inhomogeneous. Completely non-parametric study of interactions is possible using an analogue of the K-function. Alternatively one may assume a semi-parametric model in which a (parametrically specified) homogeneous Markov point process is subjected to (non-parametric) inhomogeneous independent thinning. The effectiveness of these approaches is tested on datasets representing the positions of trees in forests.

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This paper has now been published in Stoch. Stoch. Rep. 76, 59-75 (2004)