A New Dependence Condition for Time Series and the Extremal Index of Higher-Order Markov Chains

We present a new dependence condition for time series and extend the extremal types theorem. The dependence structure of a stationary sequence is described by a sequence of extremal functions. Under a stability condition for the sequence of extremal functions, we obtain the asymptotic distribution...

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Bibliographic Details
Main Author: Helena Ferreira
Format: Article
Language:English
Published: Instituto Nacional de Estatística | Statistics Portugal 2006-06-01
Series:Revstat Statistical Journal
Subjects:
Online Access:https://revstat.ine.pt/index.php/REVSTAT/article/view/32