Efficient Bayesian Inference for Multivariate Factor Stochastic Volatility Models

Publication: Working/Discussion PaperWU Working Paper

Abstract

We discuss efficient Bayesian estimation of dynamic covariance matrices in multivariate time series through a factor stochastic volatility model. In particular, we propose two interweaving strategies (Yu and Meng, Journal of Computational and Graphical Statistics, 20(3), 531-570, 2011) to substantially accelerate convergence and mixing of standard MCMC approaches. Similar to marginal data augmentation techniques, the proposed acceleration procedures exploit non-identifiability issues which frequently arise in factor models. Our new interweaving strategies are easy to implement and come at almost no extra computational cost; nevertheless, they can boost estimation efficiency by several orders of magnitude as is shown in extensive simulation studies. To conclude, the application of our algorithm to a 26-dimensional exchange rate data set illustrates the superior performance of the new approach for real-world data.
Original languageEnglish
Place of PublicationVienna
PublisherWU Vienna University of Economics and Business
DOIs
Publication statusPublished - 24 Feb 2016

Publication series

NameResearch Report Series / Department of Statistics and Mathematics
No.128

WU Working Paper Series

  • Research Report Series / Department of Statistics and Mathematics

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