User: Guest  Login

Document type:
Zeitschriftenaufsatz
Author(s):
Fasen, V., Klüppelberg, C., Schlather, M.
Title:
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...     »
Keywords:
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
Journal title:
Extremes
Year:
2010
Journal volume:
13
Journal issue:
1
Pages contribution:
1-33
Reviewed:
ja
Language:
en
WWW:
http://link.springer.com/article/10.1007%252Fs10687-009-0084-8
Status:
Verlagsversion / published
Semester:
SS 10
TUM Institution:
Lehrstuhl für Mathematische Statistik
Format:
Text
 BibTeX