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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Why is isotropy so prevalent in spatial statistics?
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by Chunsheng Ma PDF
Proc. Amer. Math. Soc. 135 (2007), 865-871 Request permission

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
  • 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