A general estimator for the extreme value index: applications to conditional and heteroscedastic extremes

Verfasser / Beitragende:
[Laurent Gardes]
Ort, Verlag, Jahr:
2015
Enthalten in:
Extremes, 18/3(2015-09-01), 479-510
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10687-015-0220-6  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10687-015-0220-6 
100 1 |a Gardes  |D Laurent  |u Université de Strasbourg & CNRS, IRMA, UMR 7501, 7 rue René Descartes, 67084, Strasbourg Cedex, France  |4 aut 
245 1 2 |a A general estimator for the extreme value index: applications to conditional and heteroscedastic extremes  |h [Elektronische Daten]  |c [Laurent Gardes] 
520 3 |a The tail behavior of a survival function is controlled by the extreme value index. The aim of this paper is to propose a general procedure for the estimation of this parameter in the case where the observations are not necessarily distributed from the same distribution. The idea is to estimate in a consistent way the survival function and to apply a general functional to obtain a consistent estimator for the extreme value index. This procedure permits to deal with a large set of models such as conditional extremes and heteroscedastic extremes. The consistency of the obtained estimator is established under general conditions. A simulation study and a concrete application on financial data are proposed to illustrate the finite sample behavior of the proposed procedure. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a Extreme value index  |2 nationallicence 
690 7 |a Conditional extremes  |2 nationallicence 
690 7 |a Heteroscedastic extremes  |2 nationallicence 
690 7 |a Consistency  |2 nationallicence 
773 0 |t Extremes  |d Springer US; http://www.springer-ny.com  |g 18/3(2015-09-01), 479-510  |x 1386-1999  |q 18:3<479  |1 2015  |2 18  |o 10687 
856 4 0 |u https://doi.org/10.1007/s10687-015-0220-6  |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/s10687-015-0220-6  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Gardes  |D Laurent  |u Université de Strasbourg & CNRS, IRMA, UMR 7501, 7 rue René Descartes, 67084, Strasbourg Cedex, France  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Extremes  |d Springer US; http://www.springer-ny.com  |g 18/3(2015-09-01), 479-510  |x 1386-1999  |q 18:3<479  |1 2015  |2 18  |o 10687