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

Title: Calculating Joint Confidence Bands for Impulse Response Functions using Highest Density Regions
Authors: Lütkepohl, Helmut; Staszewska-Bystrova, Anna; Winker, Peter
Publication Year: 2025
Subject Terms: joint con�dence bands; Impulse responses; highest density region; vector autoregressive process
Time: 330
Description: 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.
Document Type: article in journal/newspaper
File Description: application/pdf
Language: English
Relation: es/2023/0167; es/2024/0508; https://doi.org/10.17192/es2024.0508
DOI: 10.17192/es.2024.0508
DOI: 10.17192/es2024.0508
Availability: https://open.uni-marburg.de/handle/10.17192/es.2024.0508; https://nbn-resolving.org/urn:nbn:de:hebis:04-es2024-05083; https://doi.org/10.17192/es2024.0508
Rights: https://creativecommons.org/publicdomain/mark/1.0
Accession Number: edsbas.205B47B4
Database: BASE