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Structural Vector Autoregressive Models with More Shocks than Variables Identified via Heteroskedasticity

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  • Helmut Lütkepohl

Abstract

In conventional structural vector autoregressive (VAR) models it is assumed that there are at most as many structural shocks as there are variables in the model. It is pointed out that heteroskedasticity can be used to identify more shocks than variables. However, even if there is heteroskedasticity, the number of shocks that can be identified is limited. A number of results are provided that allow a researcher to assess how many shocks can be identified from specific forms of heteroskedasticity.

Suggested Citation

  • Helmut Lütkepohl, 2020. "Structural Vector Autoregressive Models with More Shocks than Variables Identified via Heteroskedasticity," Discussion Papers of DIW Berlin 1871, DIW Berlin, German Institute for Economic Research.
    • Handle: RePEc:diw:diwwpp:dp1871
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    References listed on IDEAS

    as
    1. Herwartz, Helmut & Lütkepohl, Helmut, 2014. "Structural vector autoregressions with Markov switching: Combining conventional with statistical identification of shocks," Journal of Econometrics, Elsevier, vol. 183(1), pages 104-116.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Structural vector autoregression; identification through heteroskedasticity; structural shocks;
    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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