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Comparison of Local Projection Estimators for Proxy Vector Autoregressions

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  • Martin Bruns
  • Helmut Lütkepohl

Abstract

Different local projection (LP) estimators for structural impulse responses of proxy vector autoregressions are reviewed and compared algebraically and with respect to their small sample suitability for inference. Conditions for numerical equivalence and similarities of some estimators are provided. A new LP type estimator is also proposed which is very easy to compute. Two generalized least squares (GLS) projection estimators are found to be more accurate than the other LP estimators in small samples. In particular, a lag-augmented GLS estimator tends to be superior to its competitors and to perform as well as a standard VAR estimator for sufficiently large samples.

Suggested Citation

  • Martin Bruns & Helmut Lütkepohl, 2021. "Comparison of Local Projection Estimators for Proxy Vector Autoregressions," Discussion Papers of DIW Berlin 1949, DIW Berlin, German Institute for Economic Research.
    • Handle: RePEc:diw:diwwpp:dp1949
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    References listed on IDEAS

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    Cited by:

    1. Martin Bruns & Helmut Lütkepohl, 2023. "An Alternative Bootstrap for Proxy Vector Autoregressions," Computational Economics, Springer;Society for Computational Economics, vol. 62(4), pages 1857-1882, December.

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    More about this item

    Keywords

    Structural vector autoregression; local projection; impulse responses; instrumental variable;
    All these keywords.

    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

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