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Estimation and Inference for Multi-dimensional Heterogeneous Panel Datasets with Hierarchical Multi-factor Error Structure

Author

Listed:
  • George Kapetanios

    () (King’s College London)

  • Laura Serlenga

    () (University of Bari "Aldo Moro")

  • Yongcheol Shin

    () (University of York)

Abstract

Given the growing availability of large datasets and following recent research trends on multi-dimensional modelling, we develop three dimensional (3D) panel data models with hierarchical error components that allow for strong cross-sectional dependence through unobserved heterogeneous global and local factors. We propose consistent estimation procedures by extending the common correlated effects (CCE) estimation approach proposed by Pesaran (2006). The standard CCE approach needs to be modified in order to account for the hierarchical factor structure in 3D panels. Further, we provide the associated asymptotic theory, including new nonparametric variance estimators. The validity of the proposed approach is confirmed by Monte Carlo simulation studies. We also demonstrate the empirical usefulness of the proposed approach through an application to a 3D panel gravity model of bilateral export flows.

Suggested Citation

  • George Kapetanios & Laura Serlenga & Yongcheol Shin, 2019. "Estimation and Inference for Multi-dimensional Heterogeneous Panel Datasets with Hierarchical Multi-factor Error Structure," SERIES 03-2019, Dipartimento di Economia e Finanza - Università degli Studi di Bari "Aldo Moro", revised Jun 2019.
  • Handle: RePEc:bai:series:series_wp_03-2019
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    References listed on IDEAS

    as
    1. Baldwin, Richard & Taglioni, Daria, 2006. "Gravity for Dummies and Dummies for Gravity Equations," CEPR Discussion Papers 5850, C.E.P.R. Discussion Papers.
    2. M. Hashem Pesaran, 2006. "Estimation and Inference in Large Heterogeneous Panels with a Multifactor Error Structure," Econometrica, Econometric Society, vol. 74(4), pages 967-1012, July.
    3. Kristian Behrens & Cem Ertur & Wilfried Koch, 2012. "‘Dual’ Gravity: Using Spatial Econometrics To Control For Multilateral Resistance," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 27(5), pages 773-794, August.
    4. James E. Anderson & Eric van Wincoop, 2003. "Gravity with Gravitas: A Solution to the Border Puzzle," American Economic Review, American Economic Association, vol. 93(1), pages 170-192, March.
    5. Pesaran M.H. & Schuermann T. & Weiner S.M., 2004. "Modeling Regional Interdependencies Using a Global Error-Correcting Macroeconometric Model," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 129-162, April.
    6. Pesaran, M. Hashem & Smith, Ron, 1995. "Estimating long-run relationships from dynamic heterogeneous panels," Journal of Econometrics, Elsevier, vol. 68(1), pages 79-113, July.
    7. Caldeira, João F. & Moura, Guilherme V. & Santos, André A.P., 2016. "Bond portfolio optimization using dynamic factor models," Journal of Empirical Finance, Elsevier, vol. 37(C), pages 128-158.
    8. Maria de Boyrie & Mordechai Kreinin, 2012. "Intra-Industry Trade Revisited: A Note," Open Economies Review, Springer, vol. 23(4), pages 741-745, September.
    9. Sergio Nardis & Claudio Vicarelli, 2003. "Currency unions and trade: The special case of EMU," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 139(4), pages 625-649, December.
    10. James R. Markusen & Keith E. Maskus, 2001. "A Unified Approach to Intra-Industry Trade and Direct Foreign Investment," NBER Working Papers 8335, National Bureau of Economic Research, Inc.
    11. Shi, Wei & Lee, Lung-fei, 2017. "Spatial dynamic panel data models with interactive fixed effects," Journal of Econometrics, Elsevier, vol. 197(2), pages 323-347.
    12. Gianluca Cafiso, 2011. "Rose effect versus border effect: the Euro's impact on trade," Applied Economics, Taylor & Francis Journals, vol. 43(13), pages 1691-1702.
    13. Yongcheol Shin & Laura Serlenga, 2007. "Gravity models of intra-EU trade: application of the CCEP-HT estimation in heterogeneous panels with unobserved common time-specific factors," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 361-381.
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    More about this item

    Keywords

    Multi-dimensional Panel Data Models; Cross-sectional Error Dependence; Unobserved Heterogeneous Global and Local Factors; Multilateral Resistance; The Gravity Model of Bilateral Export Flows;

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • F14 - International Economics - - Trade - - - Empirical Studies of Trade
    • F45 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Macroeconomic Issues of Monetary Unions

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