Robust kriging-A proposal

Douglas M. Hawkins, Noel Cressie

Research output: Contribution to journalArticlepeer-review

90 Scopus citations

Abstract

Geological data frequently have a heavy-tailed normal-in-the-middle distribution, which gives rise to grade distributions that appear to be normal except for the occurrence of a few outliers. This same situation also applies to log-transformed data to which lognormal kriging is to be applied. For such data, linear kriging is nonrobust in that (1)kriged estimates tend to infinity as the outliers do, and (2)it is also not minimum mean squared error. The more general nonlinear method of disjunctive kriging is even more nonrobust, computationally more laborious, and in the end need not produce better practical answers. We propose a robust kriging method for such nearly normal data based on linear kriging of an editing of the data. It is little more laborious than conventional linear kriging and, used in conjunction with a robust estimator of the variogram, provides good protection against the effects of data outliers. The method is also applicable to time series analysis.

Original languageEnglish (US)
Pages (from-to)3-18
Number of pages16
JournalJournal of the International Association for Mathematical Geology
Volume16
Issue number1
DOIs
StatePublished - Jan 1 1984

Keywords

  • Geostatistics
  • kriging
  • robust estimation
  • time series

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