The pairwise beta distribution: A flexible parametric multivariate model for extremes |
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Authors: | Daniel Cooley Richard A Davis |
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Institution: | a Department of Statistics, Colorado State University, Fort Collins, CO, USAb Department of Statistics, Columbia University, New York, NY, USAc Laboratoire des Sciences du Climat et de l’Environnement, IPSL-CNRS, Gif-sur-Yvette, France |
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Abstract: | We present a new parametric model for the angular measure of a multivariate extreme value distribution. Unlike many parametric models that are limited to the bivariate case, the flexible model can describe the extremes of random vectors of dimension greater than two. The novel construction method relies on a geometric interpretation of the requirements of a valid angular measure. An advantage of this model is that its parameters directly affect the level of dependence between each pair of components of the random vector, and as such the parameters of the model are more interpretable than those of earlier parametric models for multivariate extremes. The model is applied to air quality data and simulated spatial data. |
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Keywords: | 62F99 62H99 62P12 |
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