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Limiting Tail Dependence Copulas
Authors:Amir Ahmadi Javid
Affiliation:1. Department of Industrial Engineering , Amirkabir University of Technology (Tehran Polytechnic) , Tehran, Iran ahmadi_javid@aut.ac.ir
Abstract:The limiting lower-tail dependence copula (LLTDC) is defined as the copula of random variables which are right-truncated at thresholds tending to their left endpoints. This article shows LLTDCs are truncation-invariant and belong to the Ahmadi-Clayton family. Accordingly, it follows that limiting upper-tail dependence copulas are members of the survival Ahmadi-Clayton family.
Keywords:Ahmadi-Clayton family  Extreme value theory  Invariant copulas under truncation  Multivariate copulas  Tail events modeling  Total limiting tail dependence copulas  Truncation-invariant copulas
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