Multivariate Gram-Charlier Densities

Esther Del Brio (), Trino Ñíguez Grau and Javier Perote

MPRA Paper from University Library of Munich, Germany

Abstract: This paper introduces a new family of multivariate distributions based on Gram-Charlier and Edgeworth expansions. This family encompasses many of the univariate seminonparametric densities proposed in the financial econometrics as marginal distributions of the different formulations. Within this family, we focus on the specifications that guarantee positivity so obtaining a well-defined multivariate density. We compare different "positive" multivariate distributions of the family with the multivariate Edgeworth-Sargan, Normal and Student’s t in an in- and out-sample framework for financial returns data. Our results show that the proposed specifications provide a quite reasonably good performance being so of interest for applications involving the modelling and forecasting of heavy-tailed distributions.

Keywords: Multivariate distributions; Gram-Charlier and Edgeworth-Sargan densities; MGARCH models; financial data (search for similar items in EconPapers)
JEL-codes: C16 (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:29073

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