On the effect of long-range dependence on extreme value copula estimation with fixed marginals
Jan Beran
Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 19, 5590-5618
Abstract:
We establish the existence of multivariate stationary processes with arbitrary marginal copula distributions and long-range dependence. The effect of long-range dependence on extreme value copula estimation is illustrated in the case of known marginals, by deriving functional limit theorems for a standard non parametric estimator of the Pickands dependence function and related parametric projection estimators. The asymptotic properties turn out to be very different from the case of iid or short-range dependent observations. Simulated and real data examples illustrate the results.
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:45:y:2016:i:19:p:5590-5618
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DOI: 10.1080/03610926.2014.948198
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