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Spatial Process Estimates - IMAGe

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The spline connection<br />

Basis functions: determined by the covariance function<br />

Penalty function: Ω = K is based on the covariance.<br />

The minimization criteria:<br />

min<br />

d,c<br />

n∑<br />

i=1<br />

(y − (T d + Kc) i ) 2 + λc T Kc<br />

Kriging estimator is a spline with reproducing kernel k.<br />

λ is proportional to the measurement (nugget) variance<br />

13

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