On the functional optimization of a certain class of nonstationary spatial functions
Journal of Optimization Theory and Applications
By: G. Christakos and P.N. Paraskevopoulos
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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.
Suggested Citation
Christakos, G., and Paraskevopoulos, P., 1987, On the functional optimization of a certain class of nonstationary spatial functions: Journal of Optimization Theory and Applications, v. 52, no. 2, p. 191-208, https://doi.org/10.1007/BF00941280.
| 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 |