The DOI matches its Crossref record; 77 of the 77 references it cites were found in a registry or an index.
Statistical Modeling of Spatial Extremes
Open accessAbstract
The areal modeling of the extremes of a natural process such as rainfall or temperature is important in environmental statistics; for example, understanding extreme areal rainfall is crucial in flood protection. This article reviews recent progress in the statistical modeling of spatial extremes, starting with sketches of the necessary elements of extreme value statistics and geostatistics. The main types of statistical models thus far proposed, based on latent variables, on copulas and on spatial max-stable processes, are described and then are compared by application to a data set on rainfall in Switzerland. Whereas latent variable modeling allows a better fit to marginal distributions, it fits the joint distributions of extremes poorly, so appropriately-chosen copula or max-stable models seem essential for successful spatial modeling of extremes.
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Cites
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Cited by
Westra, S., Fowler, H. J., Evans, J. P., Alexander, L. V., Berg, P., Johnson, F., Kendon, E. J., Lenderink, G., & Roberts, N. M. (2014) · Reviews of Geophysics · doi:10.1002/2014rg000464 · Cited by 1,533
A compound event framework for understanding extreme impacts
Leonard, M., Westra, S., Phatak, A., Lambert, M., van den Hurk, B., McInnes, K., Risbey, J., Schuster, S., Jakob, D., & Stafford‐Smith, M. (2014) · WIREs Climate Change · doi:10.1002/wcc.252 · Cited by 869
A review of quantification methodologies for multi-hazard interrelationships
Tilloy, A., Malamud, B. D., Winter, H., & Joly-Laugel, A. (2019) · Earth-Science Reviews · doi:10.1016/j.earscirev.2019.102881 · Cited by 364
Estimating concurrent climate extremes: A conditional approach
Huang, W. K., Monahan, A. H., & Zwiers, F. W. (2021) · Weather and Climate Extremes · doi:10.1016/j.wace.2021.100332 · Cited by 23
Metadata
- Authors
- Davison, A. C., Padoan, S. A., & Ribatet, M.
- Venue
- Statistical Science
- Publisher
- Institute of Mathematical Statistics
- Published
- 2012-05-01
- Volume
- 27
- Issue
- 2
- Pages
- 161-186
- ISSN
- 0883-4237 (ISSN-L)
- OpenAlex
- W2047030491
- Cited by
- 578
- References
- 77
- FWCI
- 56.90
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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