An Analysis of a Heuristic Procedure to Evaluate Tail (in)dependence

Measuring tail dependence is an important issue in many applied sciences in order to quantify the risk of simultaneous extreme events. A usual measure is given by the tail dependence coefficient. The characteristics of events behave quite differently as these become more extreme, whereas we are in t...

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Main Authors: Marta Ferreira, Sérgio Silva
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2014/913621
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author Marta Ferreira
Sérgio Silva
author_facet Marta Ferreira
Sérgio Silva
author_sort Marta Ferreira
collection DOAJ
description Measuring tail dependence is an important issue in many applied sciences in order to quantify the risk of simultaneous extreme events. A usual measure is given by the tail dependence coefficient. The characteristics of events behave quite differently as these become more extreme, whereas we are in the class of asymptotic dependence or in the class of asymptotic independence. The literature has emphasized the asymptotic dependent class but wrongly infers that tail dependence will result in the overestimation of extreme value dependence and consequently of the risk. In this paper we analyze this issue through simulation based on a heuristic procedure.
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institution Kabale University
issn 1687-952X
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publishDate 2014-01-01
publisher Wiley
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series Journal of Probability and Statistics
spelling doaj-art-53fa3c021fea48239ec7a62c117b70532025-02-03T01:08:59ZengWileyJournal of Probability and Statistics1687-952X1687-95382014-01-01201410.1155/2014/913621913621An Analysis of a Heuristic Procedure to Evaluate Tail (in)dependenceMarta Ferreira0Sérgio Silva1Department of Mathematics and Applications, Center of Mathematics, Minho University, Campus de Gualtar, 4710-057 Braga, PortugalDepartment of Mathematics and Applications, Minho University, Campus de Gualtar, 4710-057 Braga, PortugalMeasuring tail dependence is an important issue in many applied sciences in order to quantify the risk of simultaneous extreme events. A usual measure is given by the tail dependence coefficient. The characteristics of events behave quite differently as these become more extreme, whereas we are in the class of asymptotic dependence or in the class of asymptotic independence. The literature has emphasized the asymptotic dependent class but wrongly infers that tail dependence will result in the overestimation of extreme value dependence and consequently of the risk. In this paper we analyze this issue through simulation based on a heuristic procedure.http://dx.doi.org/10.1155/2014/913621
spellingShingle Marta Ferreira
Sérgio Silva
An Analysis of a Heuristic Procedure to Evaluate Tail (in)dependence
Journal of Probability and Statistics
title An Analysis of a Heuristic Procedure to Evaluate Tail (in)dependence
title_full An Analysis of a Heuristic Procedure to Evaluate Tail (in)dependence
title_fullStr An Analysis of a Heuristic Procedure to Evaluate Tail (in)dependence
title_full_unstemmed An Analysis of a Heuristic Procedure to Evaluate Tail (in)dependence
title_short An Analysis of a Heuristic Procedure to Evaluate Tail (in)dependence
title_sort analysis of a heuristic procedure to evaluate tail in dependence
url http://dx.doi.org/10.1155/2014/913621
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