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Estimation and Inference in Large Heterogenous Panels with Cross Section Dependence

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Author Info
M. Hashem Pesaran ()

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Abstract

This paper presents a new approach to estimation and inference in panel data models with unobserved common factors possibly correlated with exogenously given individual-specific regressors and/or the observed common effects. The basic idea behind the proposed estimation procedure is to filter the individual-specific regressors by means of (weighted) cross-section aggregates such that asymptotically as the cross-section dimension (N) tends to infinity the differential effects of unobserved commond factors are eliminated. The estimation procedure has the advantage that it can be computed by OLS applied to an auxiliary regression where the observed regressors are augmented by cross sectional averages of the dependent variable and the individual specific regressors. It is shown that the proposed correlated common effects (CCE) estimators for the individual-specific regressors (and its pooled counterpart) are asymptotically unbiased as N approaches infinity, both when T (the time-series dimension) is fixed, and when N and T tend to infinity jointly. A generalization of these results to multi-factor structures is also provided. The estimation and inference in dynamic heterogenous panels with a residual factor structure will be addressed in a companion paper.

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Publisher Info
Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number CESifo Working Paper No. 869.

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Date of creation: 2003
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Handle: RePEc:ces:ceswps:_869

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Related research
Keywords: cross section dependence; large panels; common correlated effects; heterogeneity; estimation and inference;

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Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Michael Binder, Cheng Hsiao, and M. Hashem Pesaran, 2001. "Estimation and Inference in Short Panel Vector Autoregressions with Unit Roots and Cointegration," Computing in Economics and Finance 2001 36, Society for Computational Economics. [Downloadable!]
    Other versions:
  2. Forni, Mario & Reichlin, Lucrezia, 1998. "Let's Get Real: A Factor Analytical Approach to Disaggregated Business Cycle Dynamics," Review of Economic Studies, Blackwell Publishing, vol. 65(3), pages 453-73, July. [Downloadable!] (restricted)
  3. Conley, T.G. & Topa, G., 1999. "Socio-Economic Distance and Spatial Patterns in Unemployment," Working Papers 99-04, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
  4. James H. Stock & Mark W. Watson, 1998. "Diffusion Indexes," NBER Working Papers 6702, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  5. Hsiao, C. & Pesaran, M. H. & Tahmiscioglu, A. K., 1998. "Bayes Estimation of Short-run Coefficients in Dynamic Panel Data Models," Cambridge Working Papers in Economics 9804, Faculty of Economics, University of Cambridge.
  6. Lee, Kevin C & Pesaran, M Hashem, 1993. "The Role of Sectoral Interactions in Wage Determination in the UK Economy," Economic Journal, Royal Economic Society, vol. 103(416), pages 21-55, January. [Downloadable!] (restricted)
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  7. Holtz-Eakin, Douglas & Newey, Whitney & Rosen, Harvey S, 1988. "Estimating Vector Autoregressions with Panel Data," Econometrica, Econometric Society, vol. 56(6), pages 1371-95, November. [Downloadable!] (restricted)
  8. Ahn, Seung Chan & Hoon Lee, Young & Schmidt, Peter, 2001. "GMM estimation of linear panel data models with time-varying individual effects," Journal of Econometrics, Elsevier, vol. 101(2), pages 219-255, April. [Downloadable!] (restricted)
  9. Jerry Coakley & Ana-Maria Fuertes & Ron Smith, 2002. "A Principal Components Approach to Cross-Section Dependence in Panels," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 B5-3, International Conferences on Panel Data. [Downloadable!]
  10. Pesaran, M.H. & Smith, R., 1992. "Estimating Long-Run Relationships From Dynamic Heterogeneous Panels," Cambridge Working Papers in Economics 9215, Faculty of Economics, University of Cambridge.
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  11. Peter C.B.Phillips & Donggyu Sul, 2002. "Dynamic Panel Estimation and Homogeneity Testing Under Cross Section Dependence," Cowles Foundation Discussion Papers 1362, Cowles Foundation, Yale University. [Downloadable!]
  12. Donald Robertson & James Symons, 2000. "Factor Residuals in SUR Regressions: Estimating Panels Allowing for Cross Sectional Correlation," CEP Discussion Papers dp0473, Centre for Economic Performance, LSE. [Downloadable!]
  13. Swamy, P A V B, 1970. "Efficient Inference in a Random Coefficient Regression Model," Econometrica, Econometric Society, vol. 38(2), pages 311-23, March. [Downloadable!] (restricted)
  14. Jushan Bai & Serena Ng, 2002. "Determining the Number of Factors in Approximate Factor Models," Econometrica, Econometric Society, vol. 70(1), pages 191-221, January. [Downloadable!] (restricted)
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Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Hsiao, Cheng & Pesaran, M. Hashem, 2004. "Random Coefficient Panel Data Models," IZA Discussion Papers 1236, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  2. Fabio Canova & Matteo Ciccarelli, 2006. "Estimating multi-country VAR models," Working Paper Series 603, European Central Bank. [Downloadable!]
    Other versions:
  3. Kausik Chaudhuri & Jeffrey R. Sheen, 2007. "To Pool or to Aggregate? Tests with a Dynamic Panel Macroeconometric Model of Australian State Labor Markets," The B.E. Journal of Macroeconomics, Berkeley Electronic Press, vol. 7(1). [Downloadable!]
  4. Jean Imbs & Haroon Mumtaz & Morton O. Ravn & Helene Rey, 2002. "PPP Strikes Back: Aggregation and the Real Exchange Rate," NBER Working Papers 9372, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  5. Laura Serlenga & Yongcheol Shin, 2004. "Gravity Models of the Intra-EU Trade: Application of the Hausman-Taylor Estimation in Heterogeneous Panels with Common Time-specific Factors," ESE Discussion Papers 105, Edinburgh School of Economics, University of Edinburgh. [Downloadable!]
  6. Canova, Fabio & Ciccarelli, Matteo, 2003. "Panel Index VAR Models: Specification, Estimation, Testing and Leading Indicators," CEPR Discussion Papers 4033, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  7. Christian Hawkesby & Ian W Marsh & Ibrahim Stevens, . "Comovements in the prices of securities issued by large complex financial institutions," Bank of England working papers 256, Bank of England. [Downloadable!]
  8. Alexander Ludwig & Torsten Sløk, 2004. "The relationship between stock prices, house prices and consumption in OECD countries," MEA discussion paper series 04044, Mannheim Research Institute for the Economics of Aging (MEA), University of Mannheim. [Downloadable!]
    Other versions:
  9. Ludwig, Alexander & Sløk, Torsten, 2004. "The relationship between stock prices, house prices and consumption in OECD," Sonderforschungsbereich 504 Publications 04-12, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
  10. Manoel F. Meyer Bittencourt, 2005. "Macroeconomic Performance and Inequality: Brazil 1983-94," Ibero America Institute for Econ. Research (IAI) Discussion Papers 130, Ibero-America Institute for Economic Research. [Downloadable!]
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  11. Pesaran, M.H., 2003. "A Simple Panel Unit Root Test in the Presence of Cross Section Dependence," Cambridge Working Papers in Economics 0346, Faculty of Economics, University of Cambridge. [Downloadable!]
    Other versions:
  12. Jerry Coakley & Stuart Snaith, 2004. "Testing for Long Run Relative PPP in Europe," Money Macro and Finance (MMF) Research Group Conference 2004 34, Money Macro and Finance Research Group. [Downloadable!]
  13. J.Paul Elhorst, 2005. "Models for Dynamic Panels in Space and Time - an Application to Regional Unemployment in the EU," ERSA conference papers ersa05p81, European Regional Science Association. [Downloadable!]
  14. M. DOLORES GADEA & EVA PARDOS & CLAUDIA PÉREZ-FORNIÉS, 2004. "A Long-Run Analysis Of Defence Spending In The Nato Countries (1960-99)," Defence and Peace Economics, Taylor and Francis Journals, vol. 15(3), pages 231-249, June. [Downloadable!] (restricted)
  15. Jean Imbs & Haroon Mumtaz & Morten O. Ravn & Hélène Rey, 2005. ""Aggregation Bias" DOES Explain the PPP Puzzle," NBER Working Papers 11607, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  16. Pesaran, M. Hashem, 2004. "General Diagnostic Tests for Cross Section Dependence in Panels," IZA Discussion Papers 1240, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  17. Binder, M. & Hsaio, C. & Pesaran, M.H., 2000. "Estimation and Inference in Short Panel Vector Autoregressions with Unit Roots and Cointegration," Cambridge Working Papers in Economics 0003, Faculty of Economics, University of Cambridge. [Downloadable!]
    Other versions:
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