The extremal index Θ is an important parameter in extreme value analysis when extending results from independent and identically distributed sequences to stationary ones. A connection between the extremal index and the tail dependence coefficient allows the introduction of new estimators. The proposed ones are easy to compute and we analyze their performance through a simulation study. Comparisons with other existing methods are also presented. Case studies within environment are considered in the end.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1173, author = {Marta Ferreira}, title = {Estimating the extremal index through the tail dependence concept}, journal = {Discussiones Mathematicae Probability and Statistics}, volume = {35}, year = {2015}, pages = {61-74}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1173} }
Marta Ferreira. Estimating the extremal index through the tail dependence concept. Discussiones Mathematicae Probability and Statistics, Tome 35 (2015) pp. 61-74. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1173/
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