An efficient semiparametric maxima estimator of the extremal index

Verfasser / Beitragende:
[Paul Northrop]
Ort, Verlag, Jahr:
2015
Enthalten in:
Extremes, 18/4(2015-12-01), 585-603
Format:
Artikel (online)
ID: 605463883
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024 7 0 |a 10.1007/s10687-015-0221-5  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10687-015-0221-5 
100 1 |a Northrop  |D Paul  |u Department of Statistical Science, University College London, Gower Street, WC1E 6BT, London, UK  |4 aut 
245 1 3 |a An efficient semiparametric maxima estimator of the extremal index  |h [Elektronische Daten]  |c [Paul Northrop] 
520 3 |a The extremal index θ, a measure of the degree of local dependence in the extremes of a stationary process, plays an important role in extreme value analyses. We estimate θ semiparametrically, using the relationship between the distribution of block maxima and the marginal distribution of a process to define a semiparametric model. We show that these semiparametric estimators are simpler and substantially more efficient than their parametric counterparts. We seek to improve efficiency further using maxima over sliding blocks. A simulation study shows that the semiparametric estimators are competitive with the leading estimators. An application to sea-surge heights combines inferences about θ with a standard extreme value analysis of block maxima to estimate marginal quantiles. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a Block maxima  |2 nationallicence 
690 7 |a Extremal index  |2 nationallicence 
690 7 |a Extreme value theory  |2 nationallicence 
690 7 |a Sea-surge heights  |2 nationallicence 
690 7 |a Semiparametric estimation  |2 nationallicence 
773 0 |t Extremes  |d Springer US; http://www.springer-ny.com  |g 18/4(2015-12-01), 585-603  |x 1386-1999  |q 18:4<585  |1 2015  |2 18  |o 10687 
856 4 0 |u https://doi.org/10.1007/s10687-015-0221-5  |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/s10687-015-0221-5  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Northrop  |D Paul  |u Department of Statistical Science, University College London, Gower Street, WC1E 6BT, London, UK  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Extremes  |d Springer US; http://www.springer-ny.com  |g 18/4(2015-12-01), 585-603  |x 1386-1999  |q 18:4<585  |1 2015  |2 18  |o 10687