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January 1997 - Volume 65 Issue 1 Page 59 - 73


p.59


Bayesian Vector Autoregressions with Stochastic Volatility

Harald Uhlig

Abstract

This paper proposes a Bayesian approach to a vector autoregression with stochastic volatility, where the multiplicative evolution of the precision matrix is driven by a multivariate beta variate. Exact updating formulas are given to the nonlinear filtering of the precision matrix. Estimation of the autoregressive parameters requires numerical methods: an importance-sampling based approach is explained here.

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