23 research outputs found

    Extreme value theory applied to multi-channel communication systems

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    On tail dependence : a characterization for first-order max-autoregressive processes.

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    In this paper, we consider first-orderMARMAorARMAXprocesses and amodified version of these involving a power transformation, denoted pARMAX.We assume Pareto-type tails, the most interesting case for inference within these processes. Some well-known dependencemeasures of multivariate extreme value theory are considered in a time series framework. In calculating these measures, we find that ARMAX and pARMAX have opposite behavior in concomitant extremes, covering all types of tail dependence. This characterization will serve modeling purposes.Fundação para a Ciência e a Tecnologia (FCT

    Testing for Tail Independence in Extreme Value models

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    Bivariate extremes, Pickands dependence function, Tail independence, Tail dependence parameter, Neyman–Pearson test, Kolmogorov–Smirnov test, Fisher’s κ, Chi-square goodness-of-fit test, Differentiable spectral neighborhood, Generalized Pareto distribution,
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