论文信息 - On a controversial method for modeling a coregionalization

On a controversial method for modeling a coregionalization

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.

Pierre Goovaerts

[1] James R. Carr,et al. A general form of probability kriging for estimation of the indicator and uniform transforms , 1993 .

[2] M. Goulard,et al. Linear coregionalization model: Tools for estimation and choice of cross-variogram matrix , 1992 .

[3] M. Goulard,et al. Inference in a Coregionalization Model , 1989 .

[4] Regionalized favorability theory for information synthesis in mineral exploration , 1993 .

[5] James R. Carr,et al. An application of cokriging for estimation of tripartite earthquake response spectra , 1985 .

[6] D. Myers. Matrix formulation of co-kriging , 1982 .

[7] James R. Carr,et al. A FORTRAN program for three-dimensional cokriging with case demonstration , 1992 .

[8] Guocheng Pan,et al. A comparison between cokriging and ordinary kriging: Case study with a polymetallic deposit , 1993 .

[9] Improvement of the prediction of soil particle size fractions using spectral properties , 1992 .

[10] J. Carr,et al. Comparison of disjunctive kriging to generalized probability kriging in application to the estimation of simulated and real data , 1993 .