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Multivariate Peaks Over Threshold

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Abstract

We already realized in the univariate case that, from the conceptual viewpoint, the peaks-over-threshold method is a bit more complicated than the annual maxima method. One cannot expect that the questions are getting simpler in the multivariate setting. Subsequently, our attention is primarily restricted to the bivariate case, this topic is fully worked out in [16], 2nd ed., for any dimension. A new result about the testing of tail dependence is added in Section 13.3.

co-authored by M. Falk

Katholische Universität Eichstätt; now at the University of Würzburg.

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References

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© 2007 Birkhäuser Verlag AG

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(2007). Multivariate Peaks Over Threshold. In: Statistical Analysis of Extreme Values. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7399-3_13

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