Daubechies (1988, Comm. Pure Appl. Math. 41, 909-996) showed that, except for the Haar function, there exist no compactly supported orthogonal symmetric scaling functions for the dilation q = 2. Nevertheless, such scaling functions do exist for dilations q > 2 (as evidenced by Chui and Lian's const
Compactly Supported Correlation Functions
β Scribed by Tilmann Gneiting
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 155 KB
- Volume
- 83
- Category
- Article
- ISSN
- 0047-259X
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β¦ Synopsis
This article proposes compactly supported correlation functions, which parameterize the smoothness of the associated stationary and isotropic random field. The constructions are straightforward, and compact support is relevant for various ends: computationally efficient spatial prediction, fast and exact simulation, and appeal among practicioners.
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