Inference for Clusters of Extreme Values
Top Cited Papers
- 25 April 2003
- journal article
- Published by Oxford University Press (OUP) in Journal of the Royal Statistical Society Series B: Statistical Methodology
- Vol. 65 (2) , 545-556
- https://doi.org/10.1111/1467-9868.00401
Abstract
Summary: Inference for clusters of extreme values of a time series typically requires the identification of independent clusters of exceedances over a high threshold. The choice of declustering scheme often has a significant effect on estimates of cluster characteristics. We propose an automatic declustering scheme that is justified by an asymptotic result for the times between threshold exceedances. The scheme relies on the extremal index, which we show may be estimated before declustering, and supports a bootstrap procedure for assessing the variability of estimates.Keywords
This publication has 11 references indexed in Scilit:
- From value at risk to stress testing: The extreme value approachJournal of Banking & Finance, 2000
- On blocks and runs estimators of the extremal indexJournal of Statistical Planning and Inference, 1998
- Markov chain models for threshold exceedancesBiometrika, 1997
- On high level exceedance modeling and tail inferenceJournal of Statistical Planning and Inference, 1995
- Estimating the parameters of rare eventsStochastic Processes and their Applications, 1991
- Models for Exceedances Over High ThresholdsJournal of the Royal Statistical Society Series B: Statistical Methodology, 1990
- On the exceedance point process for a stationary sequenceProbability Theory and Related Fields, 1988
- On the characterization of certain point processesStochastic Processes and their Applications, 1987
- Extremes and Related Properties of Random Sequences and ProcessesPublished by Springer Nature ,1983
- Extremes and local dependence in stationary sequencesProbability Theory and Related Fields, 1983