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Spectral density regression for bivariate extremes
Authors:Daniela?Castro Camilo  Email authorEmail author
Institution:1.KAUST,Thuwal,Saudi Arabia;2.Pontificia Universidad Católica de Chile,Santiago,Chile
Abstract:We introduce a density regression model for the spectral density of a bivariate extreme value distribution, that allows us to assess how extremal dependence can change over a covariate. Inference is performed through a double kernel estimator, which can be seen as an extension of the Nadaraya–Watson estimator where the usual scalar responses are replaced by mean constrained densities on the unit interval. Numerical experiments with the methods illustrate their resilience in a variety of contexts of practical interest. An extreme temperature dataset is used to illustrate our methods.
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