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Tail Dependence of a Pareto Process

Ferreira, Marta

New Advances in Statistical Modeling and Applications, Studies in Theoretical and Applied Statistics, Springer International Publishing, (2014), 177-185

Heavy-tailed autoregressive processes defined with minimum or maximum operator are good alternatives to classic linear ARMA with heavy tail noises, in what concerns extreme values modeling. In this paper we present a full characterization of the tail dependence of the autoregressive minima process, Yeh–Arnold–Robertson Pareto(III).