From Schoenberg to Pick–Nevanlinna: Toward a complete picture of the variogram class
Porcu, Emilio ; Schilling, René L.
Bernoulli, Tome 17 (2011) no. 1, p. 441-455 / Harvested from Project Euclid
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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.
Publié le : 2011-02-15
Classification:  complete Bernstein functions,  isotropy,  Schoenberg–Lévy kernels,  variograms 
@article{1297173849,
     author = {Porcu, Emilio and Schilling, Ren\'e L.},
     title = {From Schoenberg to Pick--Nevanlinna: Toward a complete picture of the variogram class},
     journal = {Bernoulli},
     volume = {17},
     number = {1},
     year = {2011},
     pages = { 441-455},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1297173849}
}

Porcu, Emilio; Schilling, René L. From Schoenberg to Pick–Nevanlinna: Toward a complete picture of the variogram class. Bernoulli, Tome 17 (2011) no. 1, pp.  441-455. http://gdmltest.u-ga.fr/item/1297173849/