
AbstractVariograms, which are frequently used in geostatistics, are of value also in the statistics of marked point processes. When the marks come from a random field which is independent of the point process, ideas of geostatistics suffice for the interpretation of point process variograms. When this model is not appropriate, interactions between the points lead to point process variograms having forms which are unusual in geostcistics. This is shown by three theoretical examples and one from forestry.
interaction of trees, second order characteristic, Inference from spatial processes, pair correlation functions, Random fields; image analysis, variogram, mark correlation function, pine forest, Applications of statistics to biology and medical sciences; meta analysis, random field, Point processes (e.g., Poisson, Cox, Hawkes processes), mark variogram
interaction of trees, second order characteristic, Inference from spatial processes, pair correlation functions, Random fields; image analysis, variogram, mark correlation function, pine forest, Applications of statistics to biology and medical sciences; meta analysis, random field, Point processes (e.g., Poisson, Cox, Hawkes processes), mark variogram
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