Adaptive Bernstein Copulas and Risk Management

We present a constructive approach to Bernstein copulas with an admissible discrete skeleton in arbitrary dimensions when the underlying marginal grid sizes are smaller than the number of observations. This prevents an overfitting of the estimated dependence model and reduces the simulation effort f...

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Bibliographic Details
Main Authors: Dietmar Pfeifer, Olena Ragulina
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/12/2221
Description
Summary:We present a constructive approach to Bernstein copulas with an admissible discrete skeleton in arbitrary dimensions when the underlying marginal grid sizes are smaller than the number of observations. This prevents an overfitting of the estimated dependence model and reduces the simulation effort for Bernstein copulas a lot. In a case study, we compare different approaches of Bernstein and Gaussian copulas regarding the estimation of risk measures in risk management.
ISSN:2227-7390