On a controversial method for modeling a coregionalization |
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| Authors: | P Goovaerts |
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| Institution: | (1) Geological and Environmental Sciences Department, Stanford University, 94305 Stanford, California |
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| Abstract: | This paper reviews two alternative approaches for modeling the (cross) variograms in a coregionalization: (1) fitting the traditional linear model of coregionalization. or (2) deducing the crossvariogram model as a linear combination of prior direct (auto) variogram models while checking the Cauchy-Schwarz inequalities. We show that the second approach has no practical advantage over the traditional one and may not be valid if more than two variables are involved. In such case. Cauchy-Schwarz inequalities are necessary but not sufficient conditions for validity of a coregionalization model. |
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| Keywords: | linear model of coregionalization Cauchy-Schwarz inequality positive definiteness |
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