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A general form of probability kriging for estimation of the indicator and uniform transforms

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Abstract

Probability kriging is implemented in a general cokriging procedure (c.f. Myers, 1982) for estimatingboth the indicator and uniform transforms. Paired-sum semi-variograms are used to facilitate the modeling of the cross-covariance between the uniform transform and each indicator transform. Estimates of the uniform transform are averaged over all cutoffs, the average used to derive an estimate of the original data. This estimate can be biased with respect to the mean data value, but is unbiased with respect to the data median.

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Carr, J.R., Mao, Nh. A general form of probability kriging for estimation of the indicator and uniform transforms. Math Geol 25, 425–438 (1993). https://doi.org/10.1007/BF00894777

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