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Bibliographic Details
Main Authors: Shiraya, Kenichiro, Suzuki, Kanji, Yamakami, Tomohisa
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2411.08246
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Table of Contents:
  • Two formulations are proposed to filter out correlations in the residuals of the multivariate GARCH model. The first approach is to estimate the correlation matrix as a parameter and transform any joint distribution to have an arbitrary correlation matrix. The second approach transforms time series data into an uncorrelated residual based on the eigenvalue decomposition of a correlation matrix. The empirical performance of these methods is examined through a prediction task for foreign exchange rates and compared with other methodologies in terms of the out-of-sample likelihood. By using these approaches, the DCC-GARCH residual can be almost independent.