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Statistical reconstruction of random point patterns. (English) Zbl 1157.62453
Summary: A general reconstruction method is described which simulates point patterns possessing prescribed summary characteristics, which are free of explicit model conditions. The characteristics are for instance the intensity, the \(L\)-function, the spherical contact distribution function and the \(k\)th nearest neighbour distance distributions. The use of the statistical reconstruction method is demonstrated on both a theoretical and practical example.

MSC:
62H99 Multivariate analysis
62M99 Inference from stochastic processes
65C60 Computational problems in statistics (MSC2010)
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