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Non‐ and semi‐parametric estimation of interaction in inhomogeneous point patterns
Author(s) -
Baddeley A. J.,
Møller J.,
Waagepetersen R.
Publication year - 2000
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/1467-9574.00144
Subject(s) - parametric statistics , point process , point (geometry) , mathematics , parametric model , function (biology) , homogeneous , statistical physics , parametric equation , computer science , statistics , combinatorics , geometry , physics , evolutionary biology , biology
We develop methods for analysing the ‘interaction’ or dependence 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.