# Peak-over-threshold estimators for spectral tail processes: random vs deterministic thresholds

@article{Drees2020PeakoverthresholdEF,
title={Peak-over-threshold estimators for spectral tail processes: random vs deterministic thresholds},
author={Holger Drees and M. Kne{\vz}evi{\'c}},
journal={Extremes},
year={2020},
pages={1-27}
}
• Published 16 January 2019
• Mathematics
• Extremes
The extreme value dependence of regularly varying stationary time series can be described by the spectral tail process. Drees et al. (Extremes 18 (3), 369–402, 2015 ) proposed estimators of the marginal distributions of this process based on exceedances over high deterministic thresholds and analyzed their asymptotic behavior. In practice, however, versions of the estimators are applied which use exceedances over random thresholds like intermediate order statistics. We prove that these modified…

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