Kriging without negative weights

Journal Article · Sat Aug 01 04:00:00 EDT 1987 · Math. Geol.; (United States)

DOI:https://doi.org/10.1007/BF00896920· OSTI ID:5269350

Szidarovszky, F; Baafi, E Y; Kim, Y C

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.

• Research Organization: Karl Max Univ. of Economics, Budapest (Hungary)
• OSTI ID: 5269350
• Journal Information: Math. Geol.; (United States), Journal Name: Math. Geol.; (United States) Vol. 19:6; ISSN MATGE
• Country of Publication: United States
• Language: English

Related Subjects

58 GEOSCIENCES
580203* -- Geophysics-- Geophysical Survey Methods-- (1980-1989)
ALGORITHMS
COMPUTER CODES
COMPUTERIZED SIMULATION
EXPLORATION
FUNCTIONS
GEOLOGIC DEPOSITS
GEOPHYSICAL SURVEYS
KRIGING
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MATHEMATICS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PROBABILISTIC ESTIMATION
SIMULATION
STATISTICAL MODELS
STATISTICS
SURVEYS
WEIGHTING FUNCTIONS
Z CODES