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Simplicial Indicator Kriging |
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| Authors: | R Tolosana-Delgado V Pawlowsky-Glahn J J Egozcue |
| Institution: | 1. Department of Sedimentology and Environmental Geology,Georg-August-Universitat Grttingen,D-37077 Gottingen,Germany 2. Department of Computer Science and Applied Mathematics,University of Girona,Girona,Spain 3. Department of Applied Mathematics Ⅲ,Universidad Politécnica de Catalunya,Barcelona,Spain |
| Abstract: | Indicator kriging (IK) is a spatial interpolation technique devised for estimating a conditional cumulative distribution function at an unsampled location. The result is a discrete approximation, and its corresponding estimated probability density function can be viewed as a composition in the simplex. This fact suggested a compositional approach to IK which, by construction, avoids all its standard drawbacks (negative predictions, not-ordered or larger than one). Here, a simple algorithm to develop the procedure is presented. |
| Keywords: | Aitchison geometry compositional data disjunctive kriging log-ratio approach simplex |
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