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Statistical Physics and Spatial Statistics pp 3–21Cite as

Basic Ideas ofSpatial Statistics

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Part of the book series: Lecture Notes in Physics ((LNP,volume 554))

Abstract

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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Author information

Authors and Affiliations

  1. Institut für Stochastik, TU Bergakademie Freiberg, D-09596, Freiberg

    Dietrich Stoyan

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  1. Dietrich Stoyan
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Editor information

Editors and Affiliations

  1. Fachbereich Physik, Bergische Universität Wuppertal, 42097, Wuppertal, Germany

    Klaus R. Mecke

  2. Institut für Stochastik, TU Bergakademie Freiberg, 09596, Freiberg, Germany

    Dietrich Stoyan

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© 2000 Springer-Verlag Berlin Heidelberg

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Stoyan, D. (2000). Basic Ideas ofSpatial Statistics. In: Mecke, K.R., Stoyan, D. (eds) Statistical Physics and Spatial Statistics. Lecture Notes in Physics, vol 554. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45043-2_1

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  • DOI: https://doi.org/10.1007/3-540-45043-2_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67750-5

  • Online ISBN: 978-3-540-45043-6

  • eBook Packages: Springer Book Archive

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