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BY-NC-ND 4.0 license Open Access Published by De Gruyter Open Access June 27, 2017

Nonparametric estimation of simplified vine copula models: comparison of methods

Thomas Nagler EMAIL logo , Christian Schellhase and Claudia Czado
From the journal Dependence Modeling


In the last decade, simplified vine copula models have been an active area of research. They build a high dimensional probability density from the product of marginals densities and bivariate copula densities. Besides parametric models, several approaches to nonparametric estimation of vine copulas have been proposed. In this article, we extend these approaches and compare them in an extensive simulation study and a real data application. We identify several factors driving the relative performance of the estimators. The most important one is the strength of dependence. No method was found to be uniformly better than all others. Overall, the kernel estimators performed best, but do worse than penalized B-spline estimators when there is weak dependence and no tail dependence.


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Received: 2016-12-27
Accepted: 2017-5-16
Published Online: 2017-6-27
Published in Print: 2017-1-26

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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