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On the functional optimization of a certain class of nonstationary spatial functions

Journal of Optimization Theory and Applications

By:
and
DOI: 10.1007/BF00941280

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Abstract

Procedures are developed in order to obtain optimal estimates of linear functionals for a wide class of nonstationary spatial functions. These procedures rely on well-established constrained minimum-norm criteria, and are applicable to multidimensional phenomena which are characterized by the so-called hypothesis of inherentity. The latter requires elimination of the polynomial, trend-related components of the spatial function leading to stationary quantities, and also it generates some interesting mathematics within the context of modelling and optimization in several dimensions. The arguments are illustrated using various examples, and a case study computed in detail. ?? 1987 Plenum Publishing Corporation.

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
On the functional optimization of a certain class of nonstationary spatial functions
Series title:
Journal of Optimization Theory and Applications
DOI:
10.1007/BF00941280
Volume
52
Issue:
2
Year Published:
1987
Language:
English
Publisher location:
Kluwer Academic Publishers-Plenum Publishers
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
Larger Work Title:
Journal of Optimization Theory and Applications
First page:
191
Last page:
208