Bounds for the Clayton copula

We provide two upper bounds on the Clayton copula Cθ(u1,...,un) if θ > 0 and n ≥ 2 and a lower bound in the case θ ∈ [-1,0) and n ≥ 2. The obtained bounds provide a nice probabilistic interpretation related to some negative dependence structures and also allow defining three new two-dimensional...

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Bibliographic Details
Main Authors: Martynas Manstavičius, Remigijus Leipus
Format: Article
Language:English
Published: Vilnius University Press 2017-03-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13403