Ordinary Kriging

Ricardo A. Olea
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Ricardo A. Olea: The University of Kansas, Kansas Geological Survey

Chapter Chapter 4 in Geostatistics for Engineers and Earth Scientists, 1999, pp 39-65 from Springer

Abstract: Abstract Historically, ordinary kriging was the first improvement of simple kriging, whose roots predate geostatistics (Goldberg, 1962; Cressie, 1990). We have seen that simple kriging requires knowledge of the mean to solve the problem of finding weights that minimize the variance of the estimation error. Ordinary kriging elegantly discards the requirement by filtering out the mean, taking advantage of Corollary 2.11. And by removing the mean from the estimator, the entire formulation becomes independent from the mean, as both the weights and the estimation variance in the simple kriging Algorithm 2.1 were already independent from the mean.

Keywords: Lagrange Multiplier; Estimation Variance; Estimation Location; Random Function; Search Neighborhood (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1007/978-1-4615-5001-3_4

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