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An Introduction to Model-Based Geostatistics

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Book cover Spatial Statistics and Computational Methods

Part of the book series: Lecture Notes in Statistics ((LNS,volume 173))

Abstract

The term geostatistics identifies the part of spatial statistics which is concerned with continuous spatial variation, in the following sense. The scientific focus is to study a spatial phenomenon, s(x)say, which exists throughout a continuous spatial region A ⊂ ℝ2 and can be treated as if it were a realisation of a stochastic process S(·) = {S(x): x ∈ A}. In general, S(·) is not directly observable. Instead, the available data consist of measurements Y 1,..., Y n taken at locations x 1,..., x n sampled within A, and Y i is a noisy version of S(x i ). We shall assume either that the sampling design for x 1,..., x n is deterministic or that it is stochastic but independent of the process S(·), and all analyses are carried out conditionally on x 1,...,x n .

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Authors
  1. Peter J. Diggle
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  2. Paulo J. Ribeiro Jr.
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  3. Ole F. Christensen
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Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, DK-9220, Aalborg, Denmark

    Jesper Møller

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Diggle, P.J., Ribeiro, P.J., Christensen, O.F. (2003). An Introduction to Model-Based Geostatistics. In: Møller, J. (eds) Spatial Statistics and Computational Methods. Lecture Notes in Statistics, vol 173. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21811-3_2

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  • DOI: https://doi.org/10.1007/978-0-387-21811-3_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-00136-4

  • Online ISBN: 978-0-387-21811-3

  • eBook Packages: Springer Book Archive

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