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Likelihood-Based Inference for Max-Stable Processes
Open accessAbstract
The last decade has seen max-stable processes emerge as a common tool for the statistical modeling of spatial extremes. However, their application is complicated due to the unavailability of the multivariate density function, and so likelihood-based methods remain far from providing a complete and flexible framework for inference. In this article we develop inferentially practical, likelihood-based methods for fitting max-stable processes derived from a composite-likelihood approach. The procedure is sufficiently reliable and versatile to permit the simultaneous modeling of marginal and dependence parameters in the spatial context at a moderate computational cost. The utility of this methodology is examined via simulation, and illustrated by the analysis of United States precipitation extremes.
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Citations
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
Global Increasing Trends in Annual Maximum Daily Precipitation
Westra, S., Alexander, L. V., & Zwiers, F. W. (2013) · Journal of Climate · doi:10.1175/jcli-d-12-00502.1 · Cited by 1,243
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
An overview of composite likelihood methods
Varin, C., Reid, N. M., & Firth, D. (2011) · doi:10.82444/warw.33615778 · Cited by 868
Statistical Modeling of Spatial Extremes
Davison, A. C., Padoan, S. A., & Ribatet, M. (2012) · Statistical Science · doi:10.1214/11-sts376 · Cited by 578
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Metadata
- Authors
- Padoan, S. A., Ribatet, M., & Sisson, S. A.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 2010-03-01
- Volume
- 105
- Issue
- 489
- Pages
- 263-277
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2073416275
- Cited by
- 394
- References
- 0
- FWCI
- 39.24
- Type
- journal article
- Language
- en
- Open access
- bronze
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