Title

Multivariate intrinsic random functions for cokriging

RIS ID

72433

Publication Details

Huang, C., Yao, Y., Cressie, N. & Hsing, T. (2009). Multivariate intrinsic random functions for cokriging. Mathematical Geosciences, 41 (8), 887-904.

Abstract

In multivariate geostatistics, suppose that we relax the usual second-orderstationarity assumptions and assume that the component processes are intrinsic random functions of general orders. In this article, we introduce a generalized crosscovariance function to describe the spatial cross-dependencies in multivariate intrinsic random functions. A nonparametric method is then proposed for its estimation. Based on this class of generalized cross-covariance functions, we give cokriging equations for multivariate intrinsic random functions in the presence of measurement error. A simulation is presented that demonstrates the accuracy of the proposed nonparametric estimation method. Finally, an application is given to a dataset of plutonium and americium concentrations collected from a region of the Nevada Test Site used for atomic-bomb testing. International Association for Mathematical Geosciences 2009.

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Link to publisher version (DOI)

http://dx.doi.org/10.1007/s11004-009-9218-4