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Double filter instrumental variable estimation of panel data models with weakly exogenous variables

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  • Kazuhiko Hayakawa
  • Meng Qi
  • Jörg Breitung

Abstract

In this article, we propose instrumental variables (IV) and generalized method of moments (GMM) estimators for panel data models with weakly exogenous variables. The model is allowed to include heterogeneous time trends besides the standard fixed effects (FE). The proposed IV and GMM estimators are obtained by applying a forward filter to the model and a backward filter to the instruments in order to remove FE, thereby called the double filter IV and GMM estimators. We derive the asymptotic properties of the proposed estimators under fixed T and large N, and large T and large N asymptotics where N and T denote the dimensions of cross section and time series, respectively. It is shown that the proposed IV estimator has the same asymptotic distribution as the bias corrected FE estimator when both N and T are large. Monte Carlo simulation results reveal that the proposed estimator performs well in finite samples and outperforms the conventional IV/GMM estimators using instruments in levels in many cases.

Suggested Citation

  • Kazuhiko Hayakawa & Meng Qi & Jörg Breitung, 2019. "Double filter instrumental variable estimation of panel data models with weakly exogenous variables," Econometric Reviews, Taylor & Francis Journals, vol. 38(9), pages 1055-1088, October.
    • Handle: RePEc:taf:emetrv:v:38:y:2019:i:9:p:1055-1088
    DOI: 10.1080/07474938.2018.1514024
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    Cited by:

    1. Mayer, Alexander, 2022. "On the local power of some tests of strict exogeneity in linear fixed effects models," Econometrics and Statistics, Elsevier, vol. 24(C), pages 49-74.
    2. Rémi Odry & Roman Mestre, 2021. "Monetary Policy and Business Cycle Synchronization in Europe," EconomiX Working Papers 2021-19, University of Paris Nanterre, EconomiX.
    3. Marcelo A. T. Aragão & Fabia A. de Carvalho, 2023. "A Little Less Uncertain about the Relationship between Economic Policy Uncertainty and Economic Activity," Working Papers Series 585, Central Bank of Brazil, Research Department.
    4. Dai, Mi & Nucci, Francesco & Pozzolo, Alberto F. & Xu, Jianwei, 2021. "Access to finance and the exchange rate elasticity of exports," Journal of International Money and Finance, Elsevier, vol. 115(C).
    5. Cambra-Fierro, Jesús & Polo-Redondo, Yolanda & Trifu, Andreea, 2021. "Short-term and long-term effects of touchpoints on customer perceptions," Journal of Retailing and Consumer Services, Elsevier, vol. 61(C).
    6. Shiyun Cao & Yonghui Zhang & Qiankun Zhou, 2021. "2SLS and IV Estimation of Dynamic Panel Models with Heterogeneous Trend," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 83(6), pages 1408-1431, December.
    7. Ulrich Eydam & Florian Leupold, 2023. "What is it good for? On the Inflationary Effects of Military Conflicts," CEPA Discussion Papers 65, Center for Economic Policy Analysis.

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