An exceptional max-stable process fully parameterized by its extremal coefficients

@article{Strokorb2015AnEM,
  title={An exceptional max-stable process fully parameterized by its extremal coefficients},
  author={K. Strokorb and M. Schlather},
  journal={Bernoulli},
  year={2015},
  volume={21},
  pages={276-302}
}
The extremal coefficient function (ECF) of a max-stable process X on some index set T assigns to each finite subset A⊂T the effective number of independent random variables among the collection {Xt}t∈A. We introduce the class of Tawn–Molchanov processes that is in a 1:1 correspondence with the class of ECFs, thus also proving a complete characterization of the ECF in terms of negative definiteness. The corresponding Tawn–Molchanov process turns out to be exceptional among all max-stable… Expand

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