Kriging without negative weights |
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| Authors: | F. Szidarovszky E. Y. Baafi Y. C. Kim |
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| Affiliation: | (1) Institute of Mathematics and Computer Science, Karl Marx University of Economics, Budapest, Hungary;(2) Department of Civil and Mining Engineering, The University of Wollongong, 2500 Wollongong, NSW, Australia;(3) Department of Mining and Geological Engineering, The University of Arizona, 85721 Tucson, Arizona, USA |
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| Abstract: | Under a constant drift, the linear kriging estimator is considered as a weighted average ofn available sample values. Kriging weights are determined such that the estimator is unbiased and optimal. To meet these requirements, negative kriging weights are sometimes found. Use of negative weights can produce negative block grades, which makes no practical sense. In some applications, all kriging weights may be required to be nonnegative. In this paper, a derivation of a set of nonlinear equations with the nonnegative constraint is presented. A numerical algorithm also is developed for the solution of the new set of kriging equations. |
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| Keywords: | nonnegative kriging weights kriging equations nonlinear optimization numerical algorithm |
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