Heavy tailed time series with extremal independence

Verfasser / Beitragende:
[Rafał Kulik, Philippe Soulier]
Ort, Verlag, Jahr:
2015
Enthalten in:
Extremes, 18/2(2015-06-01), 273-299
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10687-014-0213-x  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10687-014-0213-x 
245 0 0 |a Heavy tailed time series with extremal independence  |h [Elektronische Daten]  |c [Rafał Kulik, Philippe Soulier] 
520 3 |a We consider heavy tailed time series whose finite-dimensional distributions are extremally independent in the sense that extremely large values cannot be observed consecutively. This calls for methods beyond the classical multivariate extreme value theory which is convenient only for extremally dependent multivariate distributions. We use the Conditional Extreme Value approach to study the effect of an extreme value at time zero on the future of the time series. In formal terms, we study the limiting conditional distribution of future observations given an extreme value at time zero. To this purpose, we introduce conditional scaling functions and conditional scaling exponents. We compute these quantities for a variety of models, including Markov chains, exponential autoregressive models, stochastic volatility models with heavy tailed innovations or volatilities. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a Multivariate regular variation  |2 nationallicence 
690 7 |a Extremal independence  |2 nationallicence 
690 7 |a Conditional scaling exponent  |2 nationallicence 
690 7 |a Markov chains  |2 nationallicence 
690 7 |a Stochastic volatility models  |2 nationallicence 
700 1 |a Kulik  |D Rafał  |u University of Ottawa, Ottawa, Ontario, Canada  |4 aut 
700 1 |a Soulier  |D Philippe  |u Université de Paris-Ouest Nanterre, Nanterre, France  |4 aut 
773 0 |t Extremes  |d Springer US; http://www.springer-ny.com  |g 18/2(2015-06-01), 273-299  |x 1386-1999  |q 18:2<273  |1 2015  |2 18  |o 10687 
856 4 0 |u https://doi.org/10.1007/s10687-014-0213-x  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10687-014-0213-x  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Kulik  |D Rafał  |u University of Ottawa, Ottawa, Ontario, Canada  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Soulier  |D Philippe  |u Université de Paris-Ouest Nanterre, Nanterre, France  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Extremes  |d Springer US; http://www.springer-ny.com  |g 18/2(2015-06-01), 273-299  |x 1386-1999  |q 18:2<273  |1 2015  |2 18  |o 10687