Spatial Process Estimates - IMAGe

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Robust Kriging ρ(u) a robust function that grows slower than u 2 The robust minimization criteria: min d,c n∑ i=1 ρ(y − (T d + Kc) i ) + λc T Kc An example of ρ and its derviative 0 5 10 15 −5 0 5 −4 −2 0 2 4 −4 −2 0 2 4 14
Identifying a covariance function The Matern class of covariances: φ(d) = ρψ ν (d/θ)) with ψ ν a Bessel function. correlation 0.0 0.2 0.4 0.6 0.8 1.0 6 2 1 0.5 0.0 0.5 1.0 1.5 2.0 θ a range parameter, ν smoothness at 0. • ψ ν is an exponential for ν = 1/2 as ν → ∞ Gaussian. • m t h order thin plate spline in R d ν = 2m − d.) distance Compactly support Wendland covariance 15
Page 1 and 2: Spatial Process Estimates SAMSI Sum
Page 3 and 4: The additive model Given n pairs of
Page 5 and 6: A review of the conditional normal
Page 7 and 8: The Kriging weights Conditional dis
Page 9 and 10: My geostatistics/BLUE overhead For
Page 11 and 12: BLUE/Universal Kriging Find d by Ge
Page 13: The spline connection Basis functio
Page 17 and 18: Correlations among ozone In many ca
Page 19 and 20: 50 Sensitivity to the covariance Ex
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Spatial Process Estimates - IMAGe

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