Testing extreme value copulas to estimate the quantile

We generalize the test proposed by Kojadinovic, Segers and Yan which is used for testing whether the data belongs to the family of extreme value copulas. We prove that the generalized test can be applied whatever the alternative hypothesis. We also study the effect of using different extreme value c...

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Bibliographic Details
Authors: Bahraoui, Zuhair, Bolancé, Catalina|||0000-0002-5982-1538, Pérez-Marín, Ana M..
Format: article
Publication Date:2014
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:118912
Online Access:https://ddd.uab.cat/record/118912
Access Level:Open access
Keyword:Extreme value copula
Extreme value distributions
Quantile
Description
Summary:We generalize the test proposed by Kojadinovic, Segers and Yan which is used for testing whether the data belongs to the family of extreme value copulas. We prove that the generalized test can be applied whatever the alternative hypothesis. We also study the effect of using different extreme value copulas in the context of risk estimation. To measure the risk we use a quantile. Our results have been motivated by a bivariate sample of losses from a real database of auto insurance claims.