Gram-Charlier Densities: A Multivariate Approach
Del Brío E, B., Ñíguez, T.M. and Perote, J. 2009. Gram-Charlier Densities: A Multivariate Approach. Quantitative Finance. 9 (7), pp. 855-868. https://doi.org/10.1080/14697680902773611
Del Brío E, B., Ñíguez, T.M. and Perote, J. 2009. Gram-Charlier Densities: A Multivariate Approach. Quantitative Finance. 9 (7), pp. 855-868. https://doi.org/10.1080/14697680902773611
Title | Gram-Charlier Densities: A Multivariate Approach |
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Type | Journal article |
Authors | Del Brío E, B., Ñíguez, T.M. and Perote, J. |
Abstract | This paper introduces a new family of multivariate distributions based on Gram–Charlier and Edgeworth expansions. This family encompasses many of the univariate semi-non-parametric densities proposed in financial econometrics as marginal of its different formulations. Within this family, we focus on the analysis of the specifications that guarantee positivity to obtain well-defined multivariate semi-non-parametric densities. We compare two different multivariate distributions of the family with the multivariate Edgeworth–Sargan, Normal, Student's t and skewed Student's t in an in- and out-of-sample framework for financial returns data. Our results show that the proposed specifications provide a reasonably good performance, and would therefore be of interest for applications involving the modelling and forecasting of heavy-tailed distributions. |
Keywords | Empirical finance, Econometrics of financial markets, Financial assets, VaR |
Journal | Quantitative Finance |
Journal citation | 9 (7), pp. 855-868 |
ISSN | 1469-7688 |
Year | 2009 |
Publisher | Routledge |
Digital Object Identifier (DOI) | https://doi.org/10.1080/14697680902773611 |
Publication dates | |
Published | 12 Oct 2009 |
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