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Testing identification via heteroskedasticity in structural vector autoregressive models

Author

Listed:
  • Helmut Lütkepohl
  • Mika Meitz
  • Aleksei Netšunajev
  • Pentti Saikkonen

Abstract

SummaryTests for identification through heteroskedasticity in structural vector autoregressive analysis are developed for models with two volatility states where the time point of volatility change is known. The tests are Wald-type tests for which only the unrestricted model, including the covariance matrices of the two volatility states, has to be estimated. The residuals of the model are assumed to be from the class of elliptical distributions, which includes Gaussian models. The asymptotic null distributions of the test statistics are derived, and simulations are used to explore their small-sample properties. Two empirical examples illustrate the usefulness of the tests in applied work.

Suggested Citation

  • Helmut Lütkepohl & Mika Meitz & Aleksei Netšunajev & Pentti Saikkonen, 2021. "Testing identification via heteroskedasticity in structural vector autoregressive models," The Econometrics Journal, Royal Economic Society, vol. 24(1), pages 1-22.
    • Handle: RePEc:oup:emjrnl:v:24:y:2021:i:1:p:1-22.
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    File URL: http://hdl.handle.net/10.1093/ectj/utaa008
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    Cited by:

    1. Hu, Zhepeng & Huang, Joshua & Yan, Lei & Yuan, Jinghong, 2023. "Deconstructing Urea Fertilizer Price Spikes: The Role of Supply-Demand, Speculation, and Energy Prices," 2023 Annual Meeting, July 23-25, Washington D.C. 335529, Agricultural and Applied Economics Association.
    2. Helmut Lutkepohl & Fei Shang & Luis Uzeda & Tomasz Wo'zniak, 2024. "Partial Identification of Structural Vector Autoregressions with Non-Centred Stochastic Volatility," Papers 2404.11057, arXiv.org, revised Oct 2025.
    3. Fritsche, Jan Philipp & Klein, Mathias & Rieth, Malte, 2021. "Government spending multipliers in (un)certain times," Journal of Public Economics, Elsevier, vol. 203(C).
    4. Lütkepohl, Helmut & Woźniak, Tomasz, 2020. "Bayesian inference for structural vector autoregressions identified by Markov-switching heteroskedasticity," Journal of Economic Dynamics and Control, Elsevier, vol. 113(C).
    5. Helmut Herwartz & Alexander Lange & Simone Maxand, 2022. "Data‐driven identification in SVARs—When and how can statistical characteristics be used to unravel causal relationships?," Economic Inquiry, Western Economic Association International, vol. 60(2), pages 668-693, April.
    6. Ahmed, Rashad & Rebucci, Alessandro, 2024. "Dollar reserves and U.S. yields: Identifying the price impact of official flows," Journal of International Economics, Elsevier, vol. 152(C).
    7. Emanuele Bacchiocchi & Andrea Bastianin & Toru Kitagawa & Elisabetta Mirto, 2024. "Partially identified heteroskedastic SVARs," Papers 2403.06879, arXiv.org, revised Mar 2024.
    8. Hu, Zhepeng & Yan, Lei & Yuan, Jinghong & Etienne, Xiaoli, 2025. "Deconstructing fertilizer price spikes: Evidence from Chinese urea fertilizer market," Food Policy, Elsevier, vol. 133(C).
    9. Demetrescu, Matei & Kruse-Becher, Robinson, 2025. "Is U.S. real output growth non-normal? A tale of time-varying location and scale," Journal of Economic Dynamics and Control, Elsevier, vol. 171(C).
    10. Justyna Wr'oblewska & {L}ukasz Kwiatkowski, 2024. "Identification of structural shocks in Bayesian VEC models with two-state Markov-switching heteroskedasticity," Papers 2406.03053, arXiv.org, revised Jun 2024.
    11. Gabriel Rodriguez-Rondon & Jean-Marie Dufour, 2024. "MSTest: An R-Package for Testing Markov Switching Models," Papers 2411.08188, arXiv.org.
    12. Lukas Boer & Lukas Menkhoff & Malte Rieth, 2023. "The multifaceted impact of US trade policy on financial markets," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 38(3), pages 388-406, April.
    13. Christis Katsouris, 2023. "Structural Analysis of Vector Autoregressive Models," Papers 2312.06402, arXiv.org, revised Feb 2024.
    14. Milov{s} Ciganovi'c & Elena Scola Gagliardi & Massimiliano Tancioni, 2025. "Disentangling the Distributional Effects of Financial Shocks in the Euro Area," Papers 2510.11289, arXiv.org.
    15. repec:ags:aaea22:335529 is not listed on IDEAS
    16. Helmut Lütkepohl & Fei Shang & Luis Uzeda & Tomasz Woźniak, 2024. "Partial Identification of Heteroskedastic Structural VARs: Theory and Bayesian Inference," Discussion Papers of DIW Berlin 2081, DIW Berlin, German Institute for Economic Research.
    17. Matei Demetrescu & Robinson Kruse-Becher, 2021. "Is U.S. real output growth really non-normal? Testing distributional assumptions in time-varying location-scale models," CREATES Research Papers 2021-07, Department of Economics and Business Economics, Aarhus University.

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    Keywords

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    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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