2023
DOI: 10.1016/j.jeconom.2022.04.013
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Macroeconomic forecasting and variable ordering in multivariate stochastic volatility models

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Cited by 15 publications
(3 citation statements)
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“…The fact that quantile regions are sensitive to alternative orderings is one limitation of Wei (2008)'s approach and reflects the difficulty of extending the concept of quantiles to a multivariate setting, for which a clear benchmark has yet to emerge. We refer to Section 4 for a more thorough discussion of the literature. Time‐varying parameter VAR models with stochastic volatility are also not ordering invariant, since the order of the variables affects the posterior distribution of the model parameters (see, e.g., Arias et al 2022; Cogley & Sargent, 2005; Primiceri 2005). Arias et al (2022) show that the ordering does not affect the point prediction but affects substantially the standard deviation of the predictive densities.…”
Section: Quantile Vector Autoregressionmentioning
confidence: 99%
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“…The fact that quantile regions are sensitive to alternative orderings is one limitation of Wei (2008)'s approach and reflects the difficulty of extending the concept of quantiles to a multivariate setting, for which a clear benchmark has yet to emerge. We refer to Section 4 for a more thorough discussion of the literature. Time‐varying parameter VAR models with stochastic volatility are also not ordering invariant, since the order of the variables affects the posterior distribution of the model parameters (see, e.g., Arias et al 2022; Cogley & Sargent, 2005; Primiceri 2005). Arias et al (2022) show that the ordering does not affect the point prediction but affects substantially the standard deviation of the predictive densities.…”
Section: Quantile Vector Autoregressionmentioning
confidence: 99%
“…We refer to Section 4 for a more thorough discussion of the literature. Time‐varying parameter VAR models with stochastic volatility are also not ordering invariant, since the order of the variables affects the posterior distribution of the model parameters (see, e.g., Arias et al 2022; Cogley & Sargent, 2005; Primiceri 2005). Arias et al (2022) show that the ordering does not affect the point prediction but affects substantially the standard deviation of the predictive densities. The reason OLS VAR are the ordering invariant is that the expected value is a linear operator.…”
Section: Quantile Vector Autoregressionmentioning
confidence: 99%
“…We accordingly rely on a recursive structure to identify orthogonal disturbances, with the results depending on the chosen order -see, for example,Arias et al (2023) orChan et al (2023). Placing inflation before money growth in the system allows the latter to react contemporaneously to the former (but not the other way around).…”
mentioning
confidence: 99%