On optimal allocations for estimating the surface of a random field

On optimal allocations for estimating the surface of a random field

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Article ID: iaor19972585
Country: Germany
Volume: 44
Issue: 3
Start Page Number: 239
End Page Number: 258
Publication Date: Nov 1996
Journal: Metrika
Authors: ,
Abstract:

In general, the construction of optimal designs is apparently a difficult task for the approximation of a random field indexed by more than one dimension. Besides the rate of convergence of the minimum achievable error hardly anything is known until now. However, if there is an immanent structure present in the random field, then, taking this structure into account, improved estimates can be obtained. For this situation the authors present adequate designs which show, at least, a nearly optimal performance.

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