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Vortrag
Calculating Joint Confidence Bands for Impulse Response Functions Using Highest Density Regions

Peter Winker, Helmut Lütkepohl, Anna Staszewska-Bystrova


Demographischer Wandel : Jahrestagung 2016 des Vereins für Socialpolitik
Augsburg, 04.09.2016 - 07.09.2016


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Abstract:
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.

Abstract

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.



JEL-Classification: C32
Keywords: Impulse responses, joint confidence bands, highest density region, vector autoregressive process
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