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Cluster GARCH

delete2025-07-17
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PRE
AI
P
Peter Reinhard Hansen *
I
Ilya Archakov
DOI:10.1080/07350015.2025.2510325delete
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Abstract

Abstract

En 中文
We introduce a novel multivariate GARCH model with flexible convolution-tdistributions that is applicable in high-dimensional systems. The model is calledCluster GARCHbecause it can accommodate cluster structures in the conditional correlation matrix and in tail dependencies. The expressions for the log-likelihood function and its derivatives are tractable, and the latter facilitate a score-driven model for the dynamic correlation structure. We apply the Cluster GARCH model to daily returns for 100 assets and find that it outperforms existing models, both in-sample and out-of-sample. Moreover, the convolution-tdistribution provides a better empirical performance than the conventional multivariatet-distribution.
Keywords:
Block correlation matrix
Cluster structure
Heavy-tailed distributions
Multivariate GARCH
Score-driven model

Journal

J
Journal of Business and Economic Statistics
IF:
2.5
Papers:
96
Citations:
9.1K

Organization

U
university of north carolina
Scholars:
7.4W
Papers: 6.5W
Citations: 93
Y
York University
Scholars:
1.0K
Papers: 593
Citations: 1.5K
X
xiamen university
Scholars:
5.8W
Papers: 3.8W
Citations: 67
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