On smoothness properties of spatial processes
type: Item
instance of: scholarly article
title: On smoothness properties of spatial processes
zbMATH Open document ID: 1012.60041
DOI: 10.1016/S0047-259X(02)00016-7
author: Alan E. Gelfand
author: Sudipto Banerjee
published in: Journal of Multivariate Analysis
publication date: 2003-04-02T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 60G10
Mathematics Subject Classification ID: 62H11
Mathematics Subject Classification ID: 62M30
Mathematics Subject Classification ID: 60G17
zbMATH DE Number: 1891220
zbMATH Keywords: continuity
zbMATH Keywords: differentiability
zbMATH Keywords: directional derivatives
zbMATH Keywords: isotropy
zbMATH Keywords: stationarity
reviewed by: Jiří Anděl
MaRDI profile type: Publication
cites work: Q3580341
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description: scientific article; zbMATH DE number 1891220