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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Why is isotropy so prevalent in spatial statistics?


Author: Chunsheng Ma
Journal: Proc. Amer. Math. Soc. 135 (2007), 865-871
MSC (2000): Primary 62M30, 60G10; Secondary 60G60, 43A35, 86A32
Published electronically: September 11, 2006
MathSciNet review: 2262884
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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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Additional Information

Chunsheng Ma
Affiliation: Department of Mathematics and Statistics, Wichita State University, Wichita, Kansas 67260-0033
Email: cma@math.twsu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08592-3
PII: S 0002-9939(06)08592-3
Keywords: Covariance, geometrically anisotropic, isotropic, negative definite, norm, positive definite, variogram.
Received by editor(s): November 1, 2003
Received by editor(s) in revised form: October 1, 2005
Published electronically: September 11, 2006
Communicated by: Richard A. Davis
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.