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Calculating Joint Bands for Impulse Response Functions using Highest Density Regions

Author

Listed:
  • Winker, Peter
  • Lütkepohl, Helmut
  • Staszewska-Bystrova, Anna

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.

Suggested Citation

  • Winker, Peter & Lütkepohl, Helmut & Staszewska-Bystrova, Anna, 2016. "Calculating Joint Bands for Impulse Response Functions using Highest Density Regions," VfS Annual Conference 2016 (Augsburg): Demographic Change 145537, Verein für Socialpolitik / German Economic Association.
    • Handle: RePEc:zbw:vfsc16:145537
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    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics

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