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Multivariate intrinsic random functions for cokriging

Journal Article


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.

Authors


  •   Huang, Chunfeng (external author)
  •   Yao, Yonggang (external author)
  •   Cressie, Noel A.
  •   Hsing, Tailen (external author)

Publication Date


  • 2009

Citation


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

Scopus Eid


  • 2-s2.0-76749130156

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/2286

Number Of Pages


  • 17

Start Page


  • 887

End Page


  • 904

Volume


  • 41

Issue


  • 8

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.

Authors


  •   Huang, Chunfeng (external author)
  •   Yao, Yonggang (external author)
  •   Cressie, Noel A.
  •   Hsing, Tailen (external author)

Publication Date


  • 2009

Citation


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

Scopus Eid


  • 2-s2.0-76749130156

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/2286

Number Of Pages


  • 17

Start Page


  • 887

End Page


  • 904

Volume


  • 41

Issue


  • 8