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Heteroskedastic Proxy Vector Autoregressions: Testing for Time-Varying Impulse Responses in the Presence of Multiple Proxies

Discussion Papers 2005, 39 S., Anh.

Martin Bruns, Helmut Lütkepohl


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We propose a test for time-varying impulse responses in heteroskedastic structural vector autoregressions that can be used when the shocks are identified by external proxy variables as a group. The test can be used even if the shocks are not identified individually. The asymptotic analysis is supported by small sample simulations which show good properties of the test. An investigation of the impact of productivity shocks in a small macroeconomic model for the U.S. illustrates the importance of the issue for empirical work.

JEL-Classification: C32
Keywords: Structural vector autoregression, proxy VAR, heteroskedasticity, productivity shocks