A nonparametric copula density estimator incorporating information on bivariate marginals

preprint2016arXivOpen access

Abstract

We propose a copula density estimator that can include information on bivariate marginals when the information is available. We use B-splines for copula density approximation and include information on bivariate marginals via a penalty term. Our estimator satisfies the constraints for a copula density. Under mild conditions, the proposed estimator is consistent.

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