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Testing variograms for positive-definiteness

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Abstract

A method based on Bochner's theorem is described for demonstrating the positive-definiteness of variogram models and for generating classes of valid variogram functions.

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Authors and Affiliations

  1. Centre de Géostatistique et de Morphologie Mathématique, Ecole des Mines de Paris, 35 rue Saint-Honoré, 77305, Fontainebleau, France

    Margaret Armstrong

  2. Department of Mathematics, University of Queensland, 4067, St. Lucia, Qld, Australia

    Phil Diamond

Authors
  1. Margaret Armstrong
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  2. Phil Diamond
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Additional information

Work performed while on leave at the Centre de Géostatistique et de Morphologie Mathématique.

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Armstrong, M., Diamond, P. Testing variograms for positive-definiteness. Mathematical Geology 16, 407–421 (1984). https://doi.org/10.1007/BF01029889

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  • DOI: https://doi.org/10.1007/BF01029889

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