References

A triplet of functions for the characterisation of planar point patterns is introduced, which are related to the integral-geometric quantities area, boundary length and Euler number of pat-terns of discs with centres at the given points. It can be expected that these functions are able to yield information which the traditional statistical characteristics of point process theory do not yield. The lecture describes their statistical estimation. An example illustrates their application in the analysis of three point patterns of tree positions in quite different forests and shows their behaviour in comparison to that of the pair correlation function