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Prediction of Stationary Max-Stable Processes
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Resnick, S., Davis, R.
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On the structure and representations of max-stable processes [PDF]
We develop classification results for max-stable processes, based on their spectral representations. The structure of max-linear isometries and minimal spectral representations play important roles. We propose a general classification strategy for measurable max-stable processes based on the notion of co-spectral functions.
Wang, Yizao, Stoev, Stilian A.
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A Spectral Representation for Max-stable Processes
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Statistical Inference for Max-Stable Processes in Space and Time [PDF]
SummaryMax-stable processes have proved to be useful for the statistical modelling of spatial extremes. Several families of max-stable random fields have been proposed in the literature. One such representation is based on a limit of normalized and rescaled pointwise maxima of stationary Gaussian processes that was first introduced by Kabluchko and co ...
Davis, Richard A. +2 more
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Spectral representations of sum- and max-stable processes [PDF]
Spectral representations of symmetric \(\alpha\)-stable (S\(\alpha\)S) and max-stable stochastic processes are considered. An association between a max-stable and the corresponding S\(\alpha\)S process is established in terms of spectral measures of their finite-dimensional distributions.
Zakhar Kabluchko
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Exact simulation of max-stable processes [PDF]
Max-stable processes play an important role as models for spatial extreme events. Their complex structure as the pointwise maximum over an infinite number of random functions makes simulation highly nontrivial. Algorithms based on finite approximations that are used in practice are often not exact and computationally inefficient.
Dombry, Clément +2 more
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Multivariate max-stable spatial processes [PDF]
SUMMARY Max-stable processes allow the spatial dependence of extremes to be modelled and quantified, so they are widely adopted in applications. For a better understanding of extremes, it may be useful to study several variables simultaneously. To this end, we study the maxima of independent replicates of multivariate processes, both in the Gaussian ...
Genton, Marc G. +2 more
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The dynamic behavior of droplet impingement is one of the most important processes of spray cooling. Although refrigerants with a low boiling point have been widely used in spray cooling, their high volatility makes it difficult to generate a stable ...
Shu-Yan Chen +5 more
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Intrinsically disordered proteins (IDPs) play crucial roles in cellular processes and hold promise as drug targets. However, the dynamic nature of IDPs remains poorly understood.
Wenzhe Liu +7 more
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Tail correlation functions of max-stable processes [PDF]
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Strokorb, Kirstin +2 more
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