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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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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).

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