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Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
Fasen, V., Klüppelberg, C., Schlather, M.
Titel:
High-level dependence in time series models
Abstract:
We present several notions of high-level dependence for stochastic processes, which have appeared in the literature. We calculate such measures for discrete and continuous-time models, where we concentrate on time series with heavy-tailed marginals, where extremes are likely to occur in clusters. Such models include linear models and solutions to random recurrence equations; in particular, discrete and continuous-time moving average and (G)ARCH processes. To illustrate our results we pres...     »
Stichworte:
ARCH, COGARCH, extreme cluster, extreme dependence measure, extremal index, extreme value theory, GARCH, linear model, multivariate regular variation, nonlinear model, Lévy-driven Ornstein-Uhlenbeck process, random recurrence equation
Zeitschriftentitel:
Extremes
Jahr:
2010
Band / Volume:
13
Heft / Issue:
1
Seitenangaben Beitrag:
1-33
Reviewed:
ja
Sprache:
en
WWW:
http://link.springer.com/article/10.1007%252Fs10687-009-0084-8
Status:
Verlagsversion / published
Semester:
SS 10
TUM Einrichtung:
Lehrstuhl für Mathematische Statistik
Format:
Text
 BibTeX