Encyclopedia of Social Network Analysis and Mining

2018 Edition
| Editors: Reda Alhajj, Jon Rokne

Spatial Statistics

  • Victor OliveiraEmail author
  • A. Alexandre Trindade
Reference work entry
DOI: https://doi.org/10.1007/978-1-4939-7131-2_167

Synonyms

Glossary

Correlation/covariance

Measures of similarity between observations

Geostatistics

A branch of spatial statistics

Isotropy

Property of covariance and variogram functions that make them is invariant under rotation of locations

Kriging

Method for linear unbiased prediction

Random field

A collection of random variables indexed by location

Stationarity

Property of random fields in which their mean and covariance functions are invariant under translation of locations

Variogram/semivariogram

Measures of dissimilarity between observations

Definition

Spatial statistics is a branch of statistics that studies methods to make inference based on data observed over spatial regions. In typical applications these regions are either 2- or 3-dimensional. The methodology is mostly aimed at accounting and modeling aspects of the so-called First Law of Geography: attributes from locations that are closer together are more closely related...

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Notes

Acknowledgments

The authors thank Edgar Muñoz for producing Fig. 4. The first author was partially supported by National Science Foundation Grant HRD-0932339.

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Copyright information

© Springer Science+Business Media LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Management Science and StatisticsThe University of Texas at San AntonioSan AntonioUSA
  2. 2.Department of Mathematics and StatisticsTexas Tech UniversityLubbockUSA

Section editors and affiliations

  • Suheil Khoury
    • 1
  1. 1.American University of SharjahSharjahUnited Arab Emirates