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On the stability of the geostatistical method
Authors:Noel Cressie and Dale L. Zimmerman
Affiliation:(1) Department of Statistics, Iowa State University, 50011 Ames, Iowa;(2) Department of Statistics and Actuarial Science, University of Iowa, 52242 Iowa City, Iowa
Abstract:A thorough geostatistical analysis of spatial data, observed at given spatial locations, includes exploratory data analysis, spatial-model building, diagnosing the model fit, and inference on unknown model parameters or unobserved values (at known locations). Using results from mathematical analysis, exact and asymptotic distribution theory, and simulation studies, we argue that, when used sensibly, the geostatistical method is reassuringly stable.
Keywords:kriging  mean squared prediction error  resistance  robustness  spatial dependence  spatial prediction  trend  variogram
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