Confidence Bands for Impulse Responses: Bonferroni versus Wald
In impulse response analysis estimation uncertainty is typically displayed by constructing bands around estimated impulse response functions. These bands may be based on frequentist or Bayesian methods. If they are based on the joint distribution in the Bayesian framework or the joint asymptotic distribution possibly constructed with bootstrap methods in the frequentist framework often individual confidence intervals or credibility sets are simply connected to obtain the bands. Such bands are known to be too narrow and have a joint confidence content lower than the desired one. If instead the joint distribution of the impulse response coefficients is taken into account and mapped into the band it is shown that such a band is typically rather conservative. It is argued that a smaller band can often be obtained by using the Bonferroni method. While these considerations are equally important for constructing forecast bands, we focus on the case of impulse responses in this study.
|Date of creation:||Jan 2014|
|Date of revision:|
|Contact details of provider:|| Postal: |
Web page: http://sfb649.wiwi.hu-berlin.de
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Inoue, Atsushi & Kilian, Lutz, 2011.
"Inference on Impulse Response Functions in Structural VAR Models,"
CEPR Discussion Papers
8419, C.E.P.R. Discussion Papers.
- Inoue, Atsushi & Kilian, Lutz, 2013. "Inference on impulse response functions in structural VAR models," Journal of Econometrics, Elsevier, vol. 177(1), pages 1-13.
- Atsushi Inoue & Lutz Kilian, 2013. "Inference on Impulse Response Functions in Structural VAR Models," TERG Discussion Papers 307, Graduate School of Economics and Management, Tohoku University.
- Helmut LÃ¼tkepohl & Anna Staszewska-Bystrova & Peter Winker, 2013.
"Comparison of Methods for Constructing Joint Confidence Bands for Impulse Response Functions,"
SFB 649 Discussion Papers
SFB649DP2013-031, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
- Helmut Lütkepohl & Anna Staszewska-Bystrova & Peter Winker, 2013. "Comparison of Methods for Constructing Joint Confidence Bands for Impulse Response Functions," MAGKS Papers on Economics 201325, Philipps-Universität Marburg, Faculty of Business Administration and Economics, Department of Economics (Volkswirtschaftliche Abteilung).
- Helmut Lütkepohl & Anna Staszewska-Bystrova & Peter Winker, 2013. "Comparison of Methods for Constructing Joint Confidence Bands for Impulse Response Functions," Discussion Papers of DIW Berlin 1292, DIW Berlin, German Institute for Economic Research.
- Kim, Jae H., 1999. "Asymptotic and bootstrap prediction regions for vector autoregression," International Journal of Forecasting, Elsevier, vol. 15(4), pages 393-403, October.
- Uhlig, Harald, 1999.
"What are the Effects of Monetary Policy on Output? Results from an Agnostic Identification Procedure,"
CEPR Discussion Papers
2137, C.E.P.R. Discussion Papers.
- Uhlig, Harald, 2005. "What are the effects of monetary policy on output? Results from an agnostic identification procedure," Journal of Monetary Economics, Elsevier, vol. 52(2), pages 381-419, March.
- Ben S. Bernanke & Ilian Mihov, 1995.
"Measuring Monetary Policy,"
NBER Working Papers
5145, National Bureau of Economic Research, Inc.
- Jae H. Kim, 2004. "Bias-corrected bootstrap prediction regions for vector autoregression," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 23(2), pages 141-154.
- Oscar Jorda & Massimiliano Marcellino, 2008.
"Path Forecast Evaluation,"
85, University of California, Davis, Department of Economics.
- Christopher A. Sims & Tao Zha, 1999.
"Error Bands for Impulse Responses,"
Econometric Society, vol. 67(5), pages 1113-1156, September.
- Christopher A. Sims & Tao Zha, 1994. "Error Bands for Impulse Responses," Cowles Foundation Discussion Papers 1085, Cowles Foundation for Research in Economics, Yale University.
- Tom Doan, . "RATS programs to replicate Sims and Zha(1999) "Error Bands for Impulse Responses"," Statistical Software Components RTZ00145, Boston College Department of Economics.
- Christopher A. Sims & Tao Zha, 1995. "Error bands for impulse responses," Working Paper 95-6, Federal Reserve Bank of Atlanta.
- Lutz Kilian, 1998. "Small-Sample Confidence Intervals For Impulse Response Functions," The Review of Economics and Statistics, MIT Press, vol. 80(2), pages 218-230, May.
- Anna Staszewska‐Bystrova, 2011. "Bootstrap prediction bands for forecast paths from vector autoregressive models," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 30(8), pages 721-735, December.
- Lutz Kilian, 2009.
"Not All Oil Price Shocks Are Alike: Disentangling Demand and Supply Shocks in the Crude Oil Market,"
American Economic Review,
American Economic Association, vol. 99(3), pages 1053-69, June.
- Kilian, Lutz, 2006. "Not All Oil Price Shocks Are Alike: Disentangling Demand and Supply Shocks in the Crude Oil Market," CEPR Discussion Papers 5994, C.E.P.R. Discussion Papers.
- Staszewska, Anna, 2007.
"Representing uncertainty about response paths: The use of heuristic optimisation methods,"
Computational Statistics & Data Analysis,
Elsevier, vol. 52(1), pages 121-132, September.
- Anna Staszewska, 2006. "Representing Uncertainty about Response Paths: the Use of Heuristic Optimisation Methods," Computing in Economics and Finance 2006 379, Society for Computational Economics.
- Staszewska-Bystrova, Anna & Winker, Peter, 2013. "Constructing narrowest pathwise bootstrap prediction bands using threshold accepting," International Journal of Forecasting, Elsevier, vol. 29(2), pages 221-233.
When requesting a correction, please mention this item's handle: RePEc:hum:wpaper:sfb649dp2014-007. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (RDC-Team)
If references are entirely missing, you can add them using this form.