# Representations of max-stable processes based on single extreme events

@article{Engelke2012RepresentationsOM, title={Representations of max-stable processes based on single extreme events}, author={Sebastian Engelke and Alexander Malinowski and Marco Oesting and Martin Schlather}, journal={arXiv: Probability}, year={2012} }

This paper provides the basis for new methods of inference for max-stable processes \xi\ on general spaces that admit a certain incremental representation, which, in important cases, has a much simpler structure than the max-stable process itself. A corresponding peaks-over-threshold approach will incorporate all single events that are extreme in some sense and will therefore rely on a substantially larger amount of data in comparison to estimation procedures based on block maxima. Conditioning…

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M. OestingM. SchlatherInstitut fu¨r MathematikUniversita¨t MannheimA 5, 668161 MannheimGermanye-mail: oesting@uni-mannheim.deschlather@uni-mannheim.deC. ZhouErasmus School of EconomicsErasmus…

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Estimation of extreme value parameters from observations in the max‐domain of attraction of a multivariate max‐stable distribution commonly uses aggregated data such as block maxima. Multivariate…

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