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Asymptotic distributions of impulse response functions in short panel vector autoregressions

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  • Cao, Bolong
  • Sun, Yixiao

Abstract

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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  • Cao, Bolong & Sun, Yixiao, 2011. "Asymptotic distributions of impulse response functions in short panel vector autoregressions," Journal of Econometrics, Elsevier, vol. 163(2), pages 127-143, August.
    • Handle: RePEc:eee:econom:v:163:y:2011:i:2:p:127-143
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    Cited by:

    1. Stefan Bruder & Michael Wolf, 2018. "Balanced Bootstrap Joint Confidence Bands for Structural Impulse Response Functions," Journal of Time Series Analysis, Wiley Blackwell, vol. 39(5), pages 641-664, September.
    2. Arturas Juodis, 2013. "First Difference Transformation in Panel VAR models: Robustness, Estimation and Inference," UvA-Econometrics Working Papers 13-06, Universiteit van Amsterdam, Dept. of Econometrics.
    3. Marcello Pagnini & Paola Rossi & Valerio Vacca & Michael Sigmund & Ulrich Gunter & Gerald Krenn, 2017. "How Do Macroeconomic and Bank-specific Variables Influence Profitability in the Austrian Banking Sector? Evidence from a Panel Vector Autoregression Analysis," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 46(3), pages 555-586, November.
    4. Hayakawa, Kazuhiko, 2016. "Improved GMM estimation of panel VAR models," Computational Statistics & Data Analysis, Elsevier, vol. 100(C), pages 240-264.
    5. Blazsek, Szabolcs & Escribano, Álvaro, 2012. "Patents, secret innovations and firm's rate of return : differential effects of the innovation leader," UC3M Working papers. Economics we1202, Universidad Carlos III de Madrid. Departamento de Economía.

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