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AbstractAbstract
[en] Kriging is a statistical procedure of estimating the best weights of a linear estimator. Suppose there is a point or an area or a volume of ground over which we do not know a hydrological variable and wish to estimate it. In order to produce an estimator, we need some information to work on, usually available in the form of samples. There can, be an infinite number of linear unbiased estimators for which the weights sum up to one. The problem is how to determine the best weights for which the estimation variance is the least. The system of equations as shown above is generally known as the kriging system and the estimator produced is the kriging estimator. The variance of the kriging estimator can be found by substitution of the weights in the general estimation variance equation. We assume here a linear model for the semi-variogram. Applying the model to the equation, we obtain a set of kriging equations. By solving these equations, we obtain the kriging variance. Thus, for the one-dimensional problem considered, kriging definitely gives a better estimation variance than the extension variance
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Gabriels, D.M. (Univ. Ghent (Belgium)); Ghirardi, G. (Univ. Trieste (Italy)); Nielsen, D.R. (Univ. California (United States)); Pla Sentis, I. (Univ. Lleida (Spain)); Skidmore, E.L. (Kansas State Univ. (United States)) (eds.); Abdus Salam International Centre for Theoretical Physics, Trieste (Italy); 455 p; ISBN 92-95003-26-8;
; May 2004; p. 42-45; College on soil physics; Trieste (Italy); 3-21 Mar 2003; LNS--0418006; Also available on-line: http://users.ictp.it/~pub_off/lectures/LNS18.html; 2 refs

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