Why is isotropy so prevalent in spatial statistics?
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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.References
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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
- 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
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 865-871
- MSC (2000): Primary 62M30, 60G10; Secondary 60G60, 43A35, 86A32
- DOI: https://doi.org/10.1090/S0002-9939-06-08592-3
- MathSciNet review: 2262884