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Testing variograms for positive-definiteness
Authors:Margaret Armstrong and Phil Diamond
Institution:(1) Centre de Géostatistique et de Morphologie Mathématique, Ecole des Mines de Paris, 35 rue Saint-Honoré, 77305 Fontainebleau, France;(2) Department of Mathematics, University of Queensland, 4067 St. Lucia, Qld, Australia
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.Work performed while on leave at the Centre de Géostatistique et de Morphologie Mathématique.
Keywords:variogram  geostatistics  positive-definite  Bochner's theorem  Hankel transforms
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