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Bayesian semiparametric multivariate GARCH modeling

Mark Jensen and John Maheu

Journal of Econometrics, 2013, vol. 176, issue 1, 3-17

Abstract: This paper proposes a Bayesian nonparametric modeling approach for the return distribution in multivariate GARCH models. In contrast to the parametric literature the return distribution can display general forms of asymmetry and thick tails. An infinite mixture of multivariate normals is given a flexible Dirichlet process prior. The GARCH functional form enters into each of the components of this mixture. We discuss conjugate methods that allow for scale mixtures and nonconjugate methods which provide mixing over both the location and scale of the normal components. MCMC methods are introduced for posterior simulation and computation of the predictive density. Bayes factors and density forecasts with comparisons to GARCH models with Student-t innovations demonstrate the gains from our flexible modeling approach.

Date: 2013
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Citations: View citations in EconPapers (24)

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Working Paper: Bayesian semiparametric multivariate GARCH modeling (2012) Downloads
Working Paper: Bayesian Semiparametric Multivariate GARCH Modeling (2012) Downloads
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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:176:y:2013:i:1:p:3-17

DOI: 10.1016/j.jeconom.2013.03.009

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Journal of Econometrics is currently edited by T. Amemiya, A. R. Gallant, J. F. Geweke, C. Hsiao and P. M. Robinson

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