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Robust Inference in Models Identified via Heteroskedasticity

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  • Daniel J. Lewis

Abstract

Identification via heteroskedasticity exploits variance changes between regimes to identify parameters in simultaneous equations. Weak identification occurs when shock variances change very little or multiple variances change close to proportionally, making standard inference unreliable. I propose an

Suggested Citation

  • Daniel J. Lewis, 2022. "Robust Inference in Models Identified via Heteroskedasticity," The Review of Economics and Statistics, MIT Press, vol. 104(3), pages 510-524, May.
    • Handle: RePEc:tpr:restat:v:104:y:2022:i:3:p:510-524
    DOI: 10.1162/rest_a_00963
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    Citations

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    Cited by:

    1. Ruben Hipp, 2020. "On Causal Networks of Financial Firms: Structural Identification via Non-parametric Heteroskedasticity," Staff Working Papers 20-42, Bank of Canada.
    2. Marc Burri & Daniel Kaufmann, 2024. "Measuring monetary policy shocks," IRENE Working Papers 24-03, IRENE Institute of Economic Research.
    3. Yang, Yang & Tang, Yanling & Cheng, Kai, 2023. "Spillback effects of US unconventional monetary policy," Finance Research Letters, Elsevier, vol. 53(C).
    4. 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).
    5. Kurov, Alexander & Olson, Eric & Wolfe, Marketa Halova, 2024. "Have the causal effects between equities, oil prices, and monetary policy changed over time?," Journal of Commodity Markets, Elsevier, vol. 36(C).
    6. Daniel J. Lewis, 2019. "Announcement-Specific Decompositions of Unconventional Monetary Policy Shocks and Their Macroeconomic Effects," Staff Reports 891, Federal Reserve Bank of New York.
    7. Carriero, Andrea & Marcellino, Massimiliano & Tornese, Tommaso, 2024. "Blended identification in structural VARs," Journal of Monetary Economics, Elsevier, vol. 146(C).
    8. Emiliano A. Carlevaro & Leandro M. Magnusson, 2020. "The (in)stability of stock returns and monetary policy interdependence in the US," Economics Discussion / Working Papers 20-27, The University of Western Australia, Department of Economics.
    9. Guzman, Jorge & Liu, Yupeng, 2019. "Short Term Credit Costs and U.S. Entrepreneurship," SocArXiv ap978, Center for Open Science.
    10. 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).
    11. Alessandro Casini & Adam McCloskey, 2025. "Identification, Estimation and Inference in High-Frequency Event Study Regressions," CEIS Research Paper 608, Tor Vergata University, CEIS, revised 28 Jul 2025.
    12. Marc Burri & Daniel Kaufmann, 2026. "Multiple monetary policy shocks from daily data: A heteroskedasticity IV approach," IRENE Working Papers 26-06, IRENE Institute of Economic Research.
    13. Jarociński, Marek, 2024. "Estimating the Fed’s unconventional policy shocks," Journal of Monetary Economics, Elsevier, vol. 144(C).

    More about this item

    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
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C36 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Instrumental Variables (IV) Estimation

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