Max-stable processes and the functional D -norm revisited

Verfasser / Beitragende:
[Stefan Aulbach, Michael Falk, Martin Hofmann, Maximilian Zott]
Ort, Verlag, Jahr:
2015
Enthalten in:
Extremes, 18/2(2015-06-01), 191-212
Format:
Artikel (online)
ID: 605463948
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024 7 0 |a 10.1007/s10687-014-0210-0  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10687-014-0210-0 
245 0 0 |a Max-stable processes and the functional D -norm revisited  |h [Elektronische Daten]  |c [Stefan Aulbach, Michael Falk, Martin Hofmann, Maximilian Zott] 
520 3 |a Aulbach et al. (Extremes 16, 255283, 2013) introduced a max-domain of attraction approach for extreme value theory in C[0,1] based on functional distribution functions, which is more general than the approach based on weak convergence in de Haan and Lin (Ann. Probab. 29, 467483, 2001). We characterize this new approach by decomposing a process into its univariate margins and its copula process. In particular, those processes with a polynomial rate of convergence towards a max-stable process are considered. Furthermore we investigate the concept of differentiability in distribution of a max-stable processes. 
540 |a Springer Science+Business Media New York, 2014 
690 7 |a Max-stable process  |2 nationallicence 
690 7 |a D -norm  |2 nationallicence 
690 7 |a Functional max-domain of attraction  |2 nationallicence 
690 7 |a Copula process  |2 nationallicence 
690 7 |a Generalized Pareto process  |2 nationallicence 
690 7 |a δ -neighborhood of generalized Pareto process  |2 nationallicence 
690 7 |a Derivative of D -norm  |2 nationallicence 
690 7 |a Distributional differentiability  |2 nationallicence 
700 1 |a Aulbach  |D Stefan  |u Institute of Mathematics, University of Würzburg, Emil-Fischer-Str. 30, 97074, Würzburg, Germany  |4 aut 
700 1 |a Falk  |D Michael  |u Institute of Mathematics, University of Würzburg, Emil-Fischer-Str. 30, 97074, Würzburg, Germany  |4 aut 
700 1 |a Hofmann  |D Martin  |u Institute of Mathematics, University of Würzburg, Emil-Fischer-Str. 30, 97074, Würzburg, Germany  |4 aut 
700 1 |a Zott  |D Maximilian  |u Institute of Mathematics, University of Würzburg, Emil-Fischer-Str. 30, 97074, Würzburg, Germany  |4 aut 
773 0 |t Extremes  |d Springer US; http://www.springer-ny.com  |g 18/2(2015-06-01), 191-212  |x 1386-1999  |q 18:2<191  |1 2015  |2 18  |o 10687 
856 4 0 |u https://doi.org/10.1007/s10687-014-0210-0  |q text/html  |z Onlinezugriff via DOI 
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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/s10687-014-0210-0  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Aulbach  |D Stefan  |u Institute of Mathematics, University of Würzburg, Emil-Fischer-Str. 30, 97074, Würzburg, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Falk  |D Michael  |u Institute of Mathematics, University of Würzburg, Emil-Fischer-Str. 30, 97074, Würzburg, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Hofmann  |D Martin  |u Institute of Mathematics, University of Würzburg, Emil-Fischer-Str. 30, 97074, Würzburg, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Zott  |D Maximilian  |u Institute of Mathematics, University of Würzburg, Emil-Fischer-Str. 30, 97074, Würzburg, Germany  |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), 191-212  |x 1386-1999  |q 18:2<191  |1 2015  |2 18  |o 10687