Calculating Joint Confidence Bands for Impulse Response Functions using Highest Density Regions

This paper proposes a new non-parametric method of constructing joint confidence bands for impulse response functions of vector autoregressive models.The estimation uncertainty is captured by means of bootstrapping and the highest density region (HDR) approach is used to construct the bands. A Mont...

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Bibliographic Details
Published in:MAGKS - Joint Discussion Paper Series in Economics (Band 16-2016)
Main Authors: Lütkepohl, Helmut, Staszewska-Bystrova, Anna, Winker, Peter
Format: Article
Language:English
Published: Philipps-Universität Marburg 2016
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Online Access:PDF Full Text
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Summary:This paper proposes a new non-parametric method of constructing joint confidence bands for impulse response functions of vector autoregressive models.The estimation uncertainty is captured by means of bootstrapping and the highest density region (HDR) approach is used to construct the bands. A Monte Carlo comparison of the HDR bands with existing alternatives shows that the former are competitive with the bootstrap-based Bonferroni and Wald confidence regions. The relative tightness of the HDR bands matched with their good coverage properties makes them attractive for applications. An application to corporate bond spreads for Germany highlights the potential for empirical work.
Physical Description:40 Pages
ISSN:1867-3678
DOI:10.17192/es2024.0508