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Asymptotic distributions of impulse response functions in short panel vector autoregressions

  • Cao, Bolong
  • Sun, Yixiao

This paper establishes the asymptotic distributions of the impulse response functions in panel vector autoregressions with a fixed time dimension. It also proves the asymptotic validity of a bootstrap approximation to their sampling distributions. The autoregressive parameters are estimated using the GMM estimators based on the first differenced equations and the error variance is estimated using an extended analysis-of-variance type estimator. Contrary to the time series setting, we find that the GMM estimator of the autoregressive coefficients is not asymptotically independent of the error variance estimator. The asymptotic dependence calls for variance correction for the orthogonalized impulse response functions. Simulation results show that the variance correction improves the coverage accuracy of both the asymptotic confidence band and the studentized bootstrap confidence band for the orthogonalized impulse response functions.

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Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 163 (2011)
Issue (Month): 2 (August)
Pages: 127-143

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Handle: RePEc:eee:econom:v:163:y:2011:i:2:p:127-143
Contact details of provider: Web page: http://www.elsevier.com/locate/jeconom

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  1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  2. Binder, Michael & Hsiao, Cheng & Pesaran, M. Hashem, 2005. "Estimation And Inference In Short Panel Vector Autoregressions With Unit Roots And Cointegration," Econometric Theory, Cambridge University Press, vol. 21(04), pages 795-837, August.
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  7. Gur Huberman & Simon Gilchrist & Charles Himmelberg, 2004. "Do Stock Price Bubbles Influence Corporate Investment?," 2004 Meeting Papers 147, Society for Economic Dynamics.
  8. Lutkepohl, Helmut, 1989. "A note on the asymptotic distribution of impulse response functions of estimated var models with orthogonal residuals," Journal of Econometrics, Elsevier, vol. 42(3), pages 371-376, November.
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  10. Holtz-Eakin, Douglas & Newey, Whitney & Rosen, Harvey S, 1988. "Estimating Vector Autoregressions with Panel Data," Econometrica, Econometric Society, vol. 56(6), pages 1371-95, November.
  11. Baillie, Richard T., 1987. "Inference in dynamic models containing 'surprise' variables," Journal of Econometrics, Elsevier, vol. 35(1), pages 101-117, May.
  12. Love, Inessa & Zicchino, Lea, 2002. "Financial development and dynamic investment behavior : evidence from panel vector autoregression," Policy Research Working Paper Series 2913, The World Bank.
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