Why is isotropy so prevalent in spatial statistics?
Ma, Chunsheng
Ma, Chunsheng
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Issue Date
2007-03
Type
Article
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Keywords
Covariance,Geometrically anisotropic,Isotropic,Negative definite,Positive definite,Variogram,Norm (Mathematics)
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Citation
Ma, Chunsheng. 2007. Why is isotropy so prevalent in spatial statistics?. Proceedings of the American Mathematical Society, v.135 no.3: pp.865-871
Abstract
There are many reasons for the popular use of the isotropic or geometrically
anisotropic covariance function and variogram in spatial statistics.
A less known reason demonstrated in this paper is that an isotropic or geometrically
anisotropic model would be the only choice in certain circumstances,
for instance, when the underlying random field is smooth enough.
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Publisher
American Mathematical Society
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Book Title
Series
Proceedings of the American Mathematical Society;v.135 no.3
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DOI
ISSN
0002-9939
1088-6826
1088-6826