Tail correlation functions of max-stable processes

Construction principles, recovery and diversity of some mixing max-stable processes with identical TCF

Verfasser / Beitragende:
[Kirstin Strokorb, Felix Ballani, Martin Schlather]
Ort, Verlag, Jahr:
2015
Enthalten in:
Extremes, 18/2(2015-06-01), 241-271
Format:
Artikel (online)
ID: 605463964
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024 7 0 |a 10.1007/s10687-014-0212-y  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10687-014-0212-y 
245 0 0 |a Tail correlation functions of max-stable processes  |h [Elektronische Daten]  |b Construction principles, recovery and diversity of some mixing max-stable processes with identical TCF  |c [Kirstin Strokorb, Felix Ballani, Martin Schlather] 
520 3 |a The tail correlation function (TCF) is a popular bivariate extremal dependence measure to summarize data in the domain of attraction of a max-stable process. For the class of TCFs, being largely unexplored so far, several aspects are contributed: (i) generalization of some mixing max-stable processes (ii) transfer of two geostatistical construction principles to max-stable processes, including the turning bands operator (iii) identification of subclasses of TCFs, including M3 processes based on radial monotone shapes (iv) recovery of subclasses of max-stable processes from TCFs (v) parametric classes (iv) diversity of max-stable processes sharing an identical TCF. We conclude that caution should be exercised when using TCFs for statistical inference. 
540 |a The Author(s), 2015 
690 7 |a Brown-Resnick  |2 nationallicence 
690 7 |a Extremal coefficient  |2 nationallicence 
690 7 |a Mixed moving maxima  |2 nationallicence 
690 7 |a Poisson storm  |2 nationallicence 
690 7 |a Stationary truncation  |2 nationallicence 
690 7 |a Tail dependence  |2 nationallicence 
690 7 |a Turning bands  |2 nationallicence 
700 1 |a Strokorb  |D Kirstin  |u Institute of Mathematics, University of Mannheim, D-68131, Mannheim, Germany  |4 aut 
700 1 |a Ballani  |D Felix  |u Institute of Stochastics, Faculty of Mathematics and Computer Science, TU Bergakademie Freiberg, D-09596, Freiberg, Germany  |4 aut 
700 1 |a Schlather  |D Martin  |u Institute of Mathematics, University of Mannheim, D-68131, Mannheim, Germany  |4 aut 
773 0 |t Extremes  |d Springer US; http://www.springer-ny.com  |g 18/2(2015-06-01), 241-271  |x 1386-1999  |q 18:2<241  |1 2015  |2 18  |o 10687 
856 4 0 |u https://doi.org/10.1007/s10687-014-0212-y  |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/s10687-014-0212-y  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Strokorb  |D Kirstin  |u Institute of Mathematics, University of Mannheim, D-68131, Mannheim, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Ballani  |D Felix  |u Institute of Stochastics, Faculty of Mathematics and Computer Science, TU Bergakademie Freiberg, D-09596, Freiberg, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Schlather  |D Martin  |u Institute of Mathematics, University of Mannheim, D-68131, Mannheim, 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), 241-271  |x 1386-1999  |q 18:2<241  |1 2015  |2 18  |o 10687