An Analysis of a Heuristic Procedure to Evaluate Tail (in)dependence. (21st July 2014)

• Record Type: Journal Article
• Authors: Ferreira, Marta; Silva, Sérgio
• Other Names: Zitikis Ricardas Academic Editor.
• Is Part Of: Journal of probability and statistics. Volume 2014(2014)
• Publication Date: 2014-07-21
• Subjects: Probabilities -- Periodicals; Mathematical statistics -- Periodicals; Mathematical statistics; Probabilities; Periodicals; 519
• DOI: 10.1155/2014/913621
• Languages: English
• ISSNs: 1687-952X

Abstract

Abstract : 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.