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Kriging without negative weights

Journal Article


Abstract


  • Under a constant drift, the linear kriging estimator is considered as a weighted average of n 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. © 1987 International Association for Mathematical Geology.

Publication Date


  • 1987

Citation


  • Szidarovszky, F., Baafi, E. Y., & Kim, Y. C. (1987). Kriging without negative weights. Mathematical Geology, 19(6), 549-559. doi:10.1007/BF00896920

Scopus Eid


  • 2-s2.0-0002679615

Start Page


  • 549

End Page


  • 559

Volume


  • 19

Issue


  • 6

Abstract


  • Under a constant drift, the linear kriging estimator is considered as a weighted average of n 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. © 1987 International Association for Mathematical Geology.

Publication Date


  • 1987

Citation


  • Szidarovszky, F., Baafi, E. Y., & Kim, Y. C. (1987). Kriging without negative weights. Mathematical Geology, 19(6), 549-559. doi:10.1007/BF00896920

Scopus Eid


  • 2-s2.0-0002679615

Start Page


  • 549

End Page


  • 559

Volume


  • 19

Issue


  • 6