The DOI matches its Crossref record; 47 of the 47 references it cites were found in a registry or an index.
Matérn Cross-Covariance Functions for Multivariate Random Fields
Open accessAbstract
We introduce a flexible parametric family of matrix-valued covariance functions for multivariate spatial random fields, where each constituent component is a Matérn process. The model parameters are interpretable in terms of process variance, smoothness, correlation length, and colocated correlation coefficients, which can be positive or negative. Both the marginal and the cross-covariance functions are of the Matérn type. In a data example on error fields for numerical predictions of surface pressure and temperature over the North American Pacific Northwest, we compare the bivariate Matérn model to the traditional linear model of coregionalization.
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Horn, R. A., & Johnson, C. R. (1985) · Cited by 22,203
Table of Integrals, Series, and Products
(1980) · Elsevier eBooks · doi:10.1016/c2013-0-10754-4 · Cited by 18,782
R: A Language for Data Analysis and Graphics
Ihaka, R., & Gentleman, R. (1996) · Journal of Computational and Graphical Statistics · doi:10.1080/10618600.1996.10474713 · Cited by 11,220
A Limited Memory Algorithm for Bound Constrained Optimization
Byrd, R. H., Lu, P., Nocedal, J., & Zhu, C. (1995) · SIAM Journal on Scientific Computing · doi:10.1137/0916069 · Cited by 6,221
Spatial Interaction and the Statistical Analysis of Lattice Systems
Besag, J. (1974) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1974.tb00999.x · Cited by 6,067
Strictly Proper Scoring Rules, Prediction, and Estimation
Gneiting, T., & Raftery, A. E. (2007) · Journal of the American Statistical Association · doi:10.1198/016214506000001437 · Cited by 5,793
Self-citationRees, M., & Cressie, N. (1993) · Journal of the Royal Statistical Society. Series A (Statistics in Society) · doi:10.2307/2982871 · Cited by 5,101
Geostatistics for Natural Resources Evaluation
Coburn, T. C. (2000) · Technometrics · doi:10.1080/00401706.2000.10485733 · Cited by 4,131
Geostatistics: Modeling Spatial Uncertainty
Stein, M. L., Chiles, J.-P., & Delfiner, P. (2000) · Journal of the American Statistical Association · doi:10.2307/2669569 · Cited by 2,880
Diggle, P. J., Tawn, J. A., & Moyeed, R. A. (1998) · Journal of the Royal Statistical Society Series C: Applied Statistics · doi:10.1111/1467-9876.00113 · Cited by 2,174
Cited by
Lindgren, F., Rue, H., & Lindström, J. (2011) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.1467-9868.2011.00777.x · Cited by 2,708
Metadata
- Authors
- Gneiting, T., Kleiber, W., & Schlather, M.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 2010-09-01
- Volume
- 105
- Issue
- 491
- Pages
- 1167-1177
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2030057222
- Cited by
- 388
- References
- 47
- FWCI
- 44.08
- Type
- journal article
- Language
- en
- Open access
- green
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