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Analytical Score for Multivariate GARCH Models

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Author Info
Lucchetti, Riccardo

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Abstract

Multivariate GARCH models constitute the workhorse of empirical applications in several fields, a notable example being financial econometrics. Unfortunately, ML (or quasi-ML) estimation of such models, although relatively straightforward in theory, is often made difficult by the fact that available software relies on numerical methods for computing the first derivatives of the log-likelihood; the fact that these models often include a large number of parameters makes it impractical to estimate even medium-sized models. In this paper, closed-form expressions for the score of the BEKK model of Engle and Kroner (1995) are obtained, and strategies for efficient computation are discussed. Copyright 2002 by Kluwer Academic Publishers

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Publisher Info
Article provided by Springer in its journal Computational Economics.

Volume (Year): 19 (2002)
Issue (Month): 2 (April)
Pages: 133-43
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Handle: RePEc:kap:compec:v:19:y:2002:i:2:p:133-43

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  1. Sébastien Laurent & Luc Bauwens & Jeroen V. K. Rombouts, 2006. "Multivariate GARCH models: a survey," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(1), pages 79-109. [Downloadable!]
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  2. Christian Hafner & Helmut Herwartz, 2008. "Analytical quasi maximum likelihood inference in multivariate volatility models," Metrika, Springer, vol. 67(2), pages 219-239, March. [Downloadable!] (restricted)
    Other versions:
  3. Lucchetti, Riccardo & Palomba, Giulio, 2008. "Nonlinear Adjustment in US Bond Yields: an Empirical Analysis with Conditional Heteroskedasticity," MPRA Paper 11571, University Library of Munich, Germany. [Downloadable!]
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This page was last updated on 2009-12-10.


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