Beyond the Valley of the Covariance Function
Daniel Simpson, Finn Lindgren, H{\aa}vard Rue
TL;DR
This paper critically examines the limitations and potential extensions of cross-covariance functions in multivariate geostatistics, highlighting areas for future research and methodological improvements.
Contribution
It provides a comprehensive discussion on the theoretical foundations and practical challenges of cross-covariance functions in multivariate spatial modeling.
Findings
Identifies key limitations in current cross-covariance models
Proposes directions for extending covariance function theory
Highlights the importance of valid multivariate covariance structures
Abstract
Discussion of "Cross-Covariance Functions for Multivariate Geostatistics" by Genton and Kleiber [arXiv:1507.08017].
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