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Constructing Joint Confidence Bands for Impulse Response Functions of VAR Models: A Review

Discussion Papers 1762, 27 S.

Helmut Lütkepohl, Anna Staszewska-Bystrova, Peter Winker


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Published in: Econometrics and Statistics 13 (2020), S. 69-83


Methods for constructing joint confidence bands for impulse response functions which are commonly used in vector autoregressive analysis are reviewed. While considering separate intervals for each horizon individually still seems to be the most common approach, a substantial number of methods have been proposed for making joint inferences about the complete impulse response paths up to a given horizon. A structured presentation of these methods is provided. Furthermore, existing evidence on the small-sample performance of the methods is gathered. The collected information can help practitioners to decide on a suitable confidence band for a structural VAR analysis.

JEL-Classification: C32
Keywords: Impulse responses, vector autoregressive model, joint confidence bands
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