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Robust ranking of multivariate GARCH models by problem dimension

Authors: CAPORIN, MASSIMILIANO; Michael McAleer;

Robust ranking of multivariate GARCH models by problem dimension

Abstract

During the last 15 years, several Multivariate GARCH (MGARCH) models have appeared in the literature. Recent research has begun to examine MGARCH specifications in terms of their out-of-sample forecasting performance. We provide an empirical comparison of alternative MGARCH models, namely BEKK, DCC, Corrected DCC (cDCC), CCC, OGARCH Exponentially Weighted Moving Average, and covariance shrinking, using historical data for 89 US equities. We contribute to the literature in several directions. First, we consider a wide range of models, including the recent cDCC and covariance shrinking models. Second, we use a range of tests and approaches for direct and indirect model comparison, including the Model Confidence Set. Third, we examine how the robust model rankings are influenced by the cross-sectional dimension of the problem.

Countries
Japan, Italy, Spain, New Zealand, Netherlands
Keywords

330, covariance forecasting; model confidence set; robust model ranking; MGARCH; robust model comparison, covariance forecasting, Covariance forecasting; model confidence set; robust model ranking; MGARCH; robust model comparison, Robust model ranking, Model confidence set, Fields of Research::38 - Economics::3801 - Applied economics::380107 - Financial economics, 5302 Econometría, Econometría (Economía), Covariance forecasting, model confidence set, robust model ranking, MGARCH, robust model comparison., MGARCH, covariance forecasting, model confidence set, robust model comparison, robust model ranking, Applications of statistics to economics, robust model comparison, Covariance forecasting, Fields of Research::38 - Economics::3803 - Economic theory::380303 - Mathematical economics, Economic time series analysis, Robust model comparison., Time series, auto-correlation, regression, etc. in statistics (GARCH), MGARCH, Econometría, Computational methods for problems pertaining to statistics, model confidence set, robust model ranking, jel: jel:C81, jel: jel:C52, jel: jel:C53, jel: jel:C32, jel: jel:C18, jel: jel:Y10

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
28
Top 10%
Top 10%
Top 10%
Green
bronze