On smoothness properties of spatial processes (Q1867196)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On smoothness properties of spatial processes |
scientific article; zbMATH DE number 1891220
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On smoothness properties of spatial processes |
scientific article; zbMATH DE number 1891220 |
Statements
On smoothness properties of spatial processes (English)
0 references
2 April 2003
0 references
The paper begins with smoothness properties of a univariate spatial process \(\{X({\mathbf t})\), \({\mathbf t}\in R^d\}\). The continuity in the \(L_2\) sense and the continuity of process realizations are discussed as well as mean square differentiability. The smoothness of the process is characterized through its covariance structure. In the last section, the results are generalized to vector-valued processes.
0 references
continuity
0 references
differentiability
0 references
directional derivatives
0 references
isotropy
0 references
stationarity
0 references
