## Abstract This paper surveys the most important developments in multivariate ARCHβtype modelling. It reviews the model specifications and inference methods, and identifies likely directions of future research. Copyright Β© 2006 John Wiley & Sons, Ltd.
GO-GARCH: a multivariate generalized orthogonal GARCH model
β Scribed by Roy van der Weide
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 163 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0883-7252
- DOI
- 10.1002/jae.688
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β¦ Synopsis
Abstract
Multivariate GARCH specifications are typically determined by means of practical considerations such as the ease of estimation, which often results in a serious loss of generality. A new type of multivariate GARCH model is proposed, in which potentially large covariance matrices can be parameterized with a fairly large degree of freedom while estimation of the parameters remains feasible. The model can be seen as a natural generalization of the OβGARCH model, while it is nested in the more general BEKK model. In order to avoid convergence difficulties of estimation algorithms, we propose to exploit unconditional information first, so that the number of parameters that need to be estimated by means of conditional information is more than halved. Both artificial and empirical examples are included to illustrate the model. Copyright Β© 2002 John Wiley & Sons, Ltd.
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