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Spatial Statistics and Modeling

Part of the Springer Series in Statistics Book Series

DOI: 10.1007/978-0-387-92257-7

ISBN: 978-0-387-92256-0

Publisher: Springer New York - Springer Journals

Oct 30, 2009

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Chapter 1Second-order spatial models and geostatistics

Gaetan, Carlo; Guyon, Xavier

Pages: 1 –52

[This chapter is devoted to the study of second-order random fields, i.e., real-valued random fields where each Xs has finite variance. We also study the broader class of intrinsic random fields, that is, random fields with increments of finite variance. We consider two approaches.]
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Chapter 2Gibbs-Markov random fields on networks

Gaetan, Carlo; Guyon, Xavier

Pages: 53 –80

[Without additional hypotheses, conditional distributions {vi} are not generally compatible in this way. In this chapter, we will begin by describing a general family of conditional distributions called Gibbs specifications that are compatible without further conditions; Gibbs specifications are...
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Chapter 3Spatial point processes

Gaetan, Carlo; Guyon, Xavier

Pages: 81 –109

[PPs are used in a variety of situations (Diggle, (62)), in ecology and forestry (spatial distribution of plant species; (154)), spatial epidemiology (pointwise location of sick individuals; (141)), materials science (porosity models; (197)), seismology and geophysics (earthquake epicenters and...
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Chapter 4Simulation of spatial models

Gaetan, Carlo; Guyon, Xavier

Pages: 111 –148

[Being able to simulate probability distributions and random variables is useful whenever we lack an analytic solution to a problem, be it combinatorial (number of ways to put 32 dominoes on an 8 × 8 grid), a search for maxima (Bayesian image reconstruction, cf. §2.2.2) or calculating integrals.]
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Chapter 5Statistics for spatial models

Gaetan, Carlo; Guyon, Xavier

Pages: 149 –248

[In this chapter we present the main statistical methods used to deal with the three types of data seen in earlier chapters. As well as general statistical methods that can be applied to various structures (maximum likelihood, minimum contrast, least squares, estimation of generalized linear...

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