On asymptotic theory for multivariate GARCH models
Abstract
The paper investigates the asymptotic theory for a multivariate GARCH model in its general vector specification proposed by Bollerslev, Engle and Wooldridge (1988)Â [4], known as the VEC model. This model includes as important special cases the so-called BEKK model and many versions of factor GARCH models, which are often used in practice. We provide sufficient conditions for strict stationarity and geometric ergodicity. The strong consistency of the quasi-maximum likelihood estimator (QMLE) is proved under mild regularity conditions which allow the process to be integrated. In order to obtain asymptotic normality, the existence of sixth-order moments of the process is assumed.Download Info
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Bibliographic Info
Article provided by Elsevier in its journal Journal of Multivariate Analysis.
Volume (Year): 100 (2009)
Issue (Month): 9 (October)
Pages: 2044-2054
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Related research
Keywords: Multivariate GARCH models VEC Geometric ergodicity Consistency Asymptotic normality;References
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Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Caporin, M. & McAleer, M.J., 2012.
"Robust Ranking of Multivariate GARCH Models by Problem Dimension,"
Econometric Institute Report
EI2012-13, Erasmus University Rotterdam, Econometric Institute.
- Massimiliano Caporin & Michael McAleer, 2012. "Robust Ranking of Multivariate GARCH Models by Problem Dimension," Documentos del Instituto Complutense de Análisis Económico 2012-06, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, revised Apr 2012.
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- Massimiliano Caporin & Michael McAleer, 2012. "Robust Ranking of Multivariate GARCH Models by Problem Dimension," Working Papers in Economics 12/06, University of Canterbury, Department of Economics and Finance.
- Michael McAleer & Massimiliano Caporin, 2011.
"Ranking Multivariate GARCH Models by Problem Dimension:An Empirical Evaluation,"
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778, Kyoto University, Institute of Economic Research.
- Caporin, M. & McAleer, M.J., 2011. "Ranking Multivariate GARCH Models by Problem Dimension: An Empirical Evaluation," Econometric Institute Report EI 2011-18, Erasmus University Rotterdam, Econometric Institute.
- Massimiliano Caporin & Michael McAleer, 2011. "Ranking Multivariate GARCH Models by Problem Dimension: An Empirical Evaluation," Working Papers in Economics 11/23, University of Canterbury, Department of Economics and Finance.
- Massimiliano Caporin & Michael McAleer, 2011. "Ranking Multivariate GARCH Models by Problem Dimension: An Empirical Evaluation," Documentos del Instituto Complutense de Análisis Económico 2011-20, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales.
- Diaa Noureldin & Neil Shephard & Kevin Sheppard, 2012.
"Multivariate high‐frequency‐based volatility (HEAVY) models,"
Journal of Applied Econometrics,
John Wiley & Sons, Ltd., vol. 27(6), pages 907-933, 09.
- Diaa Noureldin & Neil Shephard & Kevin Sheppard, 2011. "Multivariate High-Frequency-Based Volatility (HEAVY) Models," Economics Series Working Papers 533, University of Oxford, Department of Economics.
- Diaa Noureldin & Neil Shephard & Kevin Sheppard, 2011. "Multivariate High-Frequency-Based Volatility (HEAVY) Models," Economics Papers 2011-W01, Economics Group, Nuffield College, University of Oxford.
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