Basic Ideas ofSpatial Statistics

Basic ideas of spatial statistics are described for physicists. First an overview of various branches of spatial statistics is given. Then the notions of stationarity or homogeneity and isotropy are discussed and three stationary models of stochastic geometry are explained. Edge problems both in simulation and statistical estimation are explained including unbiased estimation of the pair correlation function. Furthermore, the application of Gibbs processes in spatial statistics is described, and finally simulation tests are explained.

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