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Correlations between Planar Random Structures, with an Ecological Application
Author(s) -
Stoyan D.,
Ohser J.
Publication year - 1982
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710240702
Subject(s) - planar , point process , statistical physics , moment (physics) , estimator , mathematics , point (geometry) , ecology , statistics , biological system , computer science , geometry , physics , biology , classical mechanics , computer graphics (images)
This paper suggests some characteristics which may help to detect and quantify “correlations” between planar geometrical structures such as point patterns/point processes, fibre systems/fibre processes and region patterns/random sets. Typical examples of “correlations” are mutual attraction or inhibition. Some of the characteristics are related to moment‐measures, the definition of the others is similar to that of quantities in the mathematical morphology of M ATHERON and S ERRA . For all quantities unbiased estimators are given. Also the detection of orientations in random structures is discussed. An ecological example demonstrates the application of the characteristics.