From Schoenberg to Pick-Nevanlinna: Toward a complete picture of the variogram class

Emilio Porcu; René L. Schilling

doi:10.3150/10-bej277

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arXiv · 0812.2936

From Schoenberg to Pick-Nevanlinna: Toward a complete picture of the variogram class

Emilio Porcu·René L. Schilling

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Abstract

We show that a large subclass of variograms is closed under products and that some desirable stability properties, such as the product of special compositions, can be obtained within the proposed setting. We introduce new classes of kernels of Schoenberg-Lévy type and demonstrate some important properties of rotationally invariant variograms.

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Emilio Porcu, René L. Schilling. 2013-12-20. From Schoenberg to Pick-Nevanlinna: Toward a complete picture of the variogram class. https://doi.org/10.3150/10-bej277

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