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Spatial Process Estimates - IMAGe

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The additive model<br />

Given n pairs of observations (x i , y i ), i = 1, . . . , n<br />

ɛ i ’s are random errors.<br />

y i = g(x i ) + ɛ i<br />

Assume that g is a realization of a Gaussian process.<br />

MN(0, σ 2 I)<br />

and ɛ are<br />

Formulating a statistical model for g<br />

makes a very big difference in how we solve the problem.<br />

3

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