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Cokriging nonstationary data |
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| Authors: | A Stein A C van Eijnsbergen and L G Barendregt |
| Institution: | (1) Department of Soil Science and Geology, Agricultural University, P.O. Box 37, 6700 AA Wageningen, The Netherlands;(2) Department of Mathematics, Agricultural University, Dreijenlaan 4, 6703 BC Wageningen, The Netherlands;(3) Graaf Janstraat 57, 2713 CH Zoetermeer, The Netherlands |
| Abstract: | Universal cokriging is used to obtain predictions when dealing with multivariate random functions. An important type of nonstationarity is defined in terms of multivariate random functions with increments which are stationary of orderk. The covariance between increments of different variables is modeled by means of the pseudo-cross-covariance function. Criteria are formulated to which the parameters of pseudo-cross-covariance functions must comply so as to ensure positive-definiteness. Cokriging equations and the induced cokriging equations are given. The study is illustrated by an example from soil science. |
| Keywords: | cokriging increments non-stationarity multivariate random function pseudo-covariance function pseudo-cross-covariance function |
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