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Estimation and testing of dynamic models with generalised hyperbolic innovations

Mencia, Javier F. and Sentana, Enrique (2004) Estimation and testing of dynamic models with generalised hyperbolic innovations. Discussion paper, 502. Financial Markets Group, London School of Economics and Political Science, London, UK.

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Identification Number: 502

Abstract

We analyse the Generalised Hyperbolic distribution as a model for fat tails and asymmetries in multivariate conditionally heteroskedastic dynamic regression models. We provide a standardised version of this distribution, obtain analytical expressions for the log-likelihood score, and explain how to evaluate the information matrix. In addition, we derive tests for the null hypotheses of multivariate normal and Student t innovations, and decompose them into skewness and kurtosis components, from which we obtain more powerful one-sided versions. Finally, we present an empirical illustration with UK sectorial stock returns, which suggests that their conditional distribution is asymmetric and leptokurtic.

Item Type: Monograph (Discussion Paper)
Official URL: http://fmg.lse.ac.uk
Additional Information: © 2004 The Authors
Subjects: H Social Sciences > HG Finance
H Social Sciences > HB Economic Theory
Sets: Research centres and groups > Financial Markets Group (FMG)
Collections > Economists Online
Collections > LSE Financial Markets Group (FMG) Working Papers
Date Deposited: 06 Aug 2009 09:19
Last Modified: 27 Feb 2014 15:35
URI: http://eprints.lse.ac.uk/id/eprint/24742

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