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Fitting matrix-valued variogram models by simultaneous diagonalization (Part II: Application)
Authors:Tailiang Xie   Donald E. Myers  Andrew E. Long
Affiliation:(1) Biometry Section, Arizona Cancer Center, University of Arizona, 85724 Tucson, Arizona;(2) Department of Mathematics, University of Arizona, 85721 Tucson, Arizona;(3) Department of Mathematics, University of Wisconsin-Oshkosh, 54901 Oshkosh, Wisconsin
Abstract:As an application, we demonstrate a proposed variogram modeling scheme using a spatial data set. Because the scheme relies on a procedure for simultaneously diagonalizing several matrices, we briefly describe the FG and least-squares algorithms. The model obtained by our scheme is used to cokrige the data. In addition, the proposed scheme is compared to more traditional methods.
Keywords:variogram modeling  positive definite function  matrix diagonalization  algorithm
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