Abstract
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.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference26 articles.
1. Démonstration du théorème de Weierstrass fondée sur le calcul des probabilités;Bernstein;Commun. Kharkov Math. Soc.,1912
2. Bernstein Polynomials;Lorentz,1986
3. Application of Bernstein Polynomials for smooth estimation of a distribution and density function
4. The Bernstein polynomial estimator of a smooth quantile function
5. From Bernstein polynomials to Bernstein copulas;Cottin;J. Appl. Funct. Anal.,2014
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