Efficient Bayesian Inference for Multivariate Factor Stochastic Volatility Models

Gregor Kastner, Sylvia Frühwirth-Schnatter, Hedibert Freitas Lopes

Publikation: Working/Discussion PaperWU Working Paper

69 Downloads (Pure)

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.
OriginalspracheEnglisch
ErscheinungsortVienna
HerausgeberWU Vienna University of Economics and Business
DOIs
PublikationsstatusVeröffentlicht - 24 Feb. 2016

Publikationsreihe

ReiheResearch Report Series / Department of Statistics and Mathematics
Nummer128

WU Working Paper Reihe

  • Research Report Series / Department of Statistics and Mathematics

Zitat