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A Multivariate Generalized Orthogonal Factor GARCH Model

Bibliographic Data

ID19420201
AuthorsMarkku Lanne (0000-0001-9397-2578, University of Helsinki), Pentti Saikkonen (Statistics Finland)
Year2007
Volume25
Issue1
Pages61-75
Publication date2007-01-01
Open AccessNo
TypeARTICLE
VenueJournal of Business and Economic Statistics (JOURNAL)
Journal identifiersISSN: 0735-0015 • E-ISSN: 1537-2707
PublisherInforma UK Limited (PUBLISHER • GB)
DOI10.1198/073500106000000404
OpenAlexW1512502159
LanguageEN
Citations received4
References cited15

We propose a factor generalized autoregressive conditional heteroscedasticity (GARCH) model and develop test procedures for checking the correctness of the number of factors. Maximum likelihood estimation of the model is straightforward once computationally simple preliminary estimates are obtained. Motivated by the empirical application of the article, a mixture of Gaussian distributions is considered in addition to the conventional Gaussian likelihood. Interestingly, some parameters of the conditional covariance matrix that are not identifiable under normality, can be identified when the mixture specification is used. As an empirical example, modeling a system of exchange rate returns and testing for volatility transmission is considered

Autoregressive conditional heteroskedasticity · Conditional variance · Covariance · Covariance matrix · Econometrics · Factor analysis · Heteroscedasticity · Likelihood function · Likelihood-ratio test · Maximum likelihood · Multivariate normal distribution · Multivariate statistics · Statistics · Financial Risk and Volatility Modeling · Mathematics · Applied Mathematics

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Citations per year0.21
Citation span2007 - 2022 (16)
Highly citedNo

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