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Comparison of local projection estimators for proxy vector autoregressions

Author

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  • Bruns, Martin
  • Lütkepohl, Helmut
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. 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

  • Bruns, Martin & Lütkepohl, Helmut, 2022. "Comparison of local projection estimators for proxy vector autoregressions," Journal of Economic Dynamics and Control, Elsevier, vol. 134(C).
    • Handle: RePEc:eee:dyncon:v:134:y:2022:i:c:s0165188921002128
    DOI: 10.1016/j.jedc.2021.104277
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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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