Andersen, T.G., Davis, R.A., Kreiss, J.-P. and Mikosch, T. (Eds.)
Pages contribution:
653-667
Abstract:
In this paper we present a review on the extremal behavior of stationary
continuous-time processes with emphasis on generalized Ornstein-Uhlenbeck
processes. We restrict our attention to heavy-tailed models like heavy-tailed
Ornstein-Uhlenbeck processes or continuous-time GARCH processes. The survey
includes the tail behavior of the stationary distribution, the tail behavior
of the sample maximum and the asymptotic behavior of sample maxima of
our models.
Book title:
Andersen, T.G., Davis, R.A., Kreiss, J.-P. and Mikosch, T.: Handbook of Financial Time Series