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Random Coefficient Panel Data Models

  • Hsiao, Cheng


    (University of Southern California)

  • Pesaran, M. Hashem


    (University of Cambridge)

This paper provides a review of linear panel data models with slope heterogeneity, introduces various types of random coefficients models and suggest a common framework for dealing with them. It considers the fundamental issues of statistical inference of a random coefficients formulation using both the sampling and Bayesian approaches. The paper also provides a review of heterogeneous dynamic panels, testing for homogeneity under weak exogeneity, simultaneous equation random coefficient models, and the more recent developments in the area of cross-sectional dependence in panel data models.

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Paper provided by Institute for the Study of Labor (IZA) in its series IZA Discussion Papers with number 1236.

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Length: 41 pages
Date of creation: Aug 2004
Date of revision:
Publication status: published in: L. Mátyás and P. Sevestre (eds.), The Econometrics of Panel Data, Springer 2008 (3rd ed.)
Handle: RePEc:iza:izadps:dp1236
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  1. M. Hashem Pesaran, 2007. "A simple panel unit root test in the presence of cross-section dependence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 265-312.
  2. Hsiao, Cheng & Mountain, Dean C. & Chan, M. W. Luke & Tsui, Kai Y., 1989. "Modeling Ontario regional electricity system demand using a mixed fixed and random coefficients approach," Regional Science and Urban Economics, Elsevier, vol. 19(4), pages 565-587, December.
  3. Hausman, Jerry A, 1978. "Specification Tests in Econometrics," Econometrica, Econometric Society, vol. 46(6), pages 1251-71, November.
  4. Pesaran, M. Hashem, 2004. "General Diagnostic Tests for Cross Section Dependence in Panels," IZA Discussion Papers 1240, Institute for the Study of Labor (IZA).
  5. Kiviet, Jan F. & Phillips, Garry D.A., 1993. "Alternative Bias Approximations in Regressions with a Lagged-Dependent Variable," Econometric Theory, Cambridge University Press, vol. 9(01), pages 62-80, January.
  6. Hsiao, C., 1992. "Random Coefficients Models," Papers 9212, Southern California - Department of Economics.
  7. Moon, H.R.Hyungsik Roger & Perron, Benoit, 2004. "Testing for a unit root in panels with dynamic factors," Journal of Econometrics, Elsevier, vol. 122(1), pages 81-126, September.
  8. Michael L. Wachter, 1976. "The Changing Cyclical Responsiveness of Wage Inflation," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 7(1), pages 115-168.
  9. 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.
  10. M. Hashem Pesaran & Til Schuermann & Scott M. Weiner, 2002. "Modeling Regional Interdependencies Using a Global Error-Correcting Macroeconometric Model," Center for Financial Institutions Working Papers 01-38, Wharton School Center for Financial Institutions, University of Pennsylvania.
  11. Zellner, Arnold, 1988. "Bayesian analysis in econometrics," Journal of Econometrics, Elsevier, vol. 37(1), pages 27-50, January.
  12. Min, C.K. & Zellner, A., 1992. ""Bayesian and Non-Bayesian Methods for Combining Models and Forecasts with Applications to Forecasting International Growth Rates"," Papers 90-92-23, California Irvine - School of Social Sciences.
  13. Pietro Balestra & Syoum Negassi, 1990. "A Random Coefficient Simultaneous Equation System with an Application to Direct Foreign Investment by French Firms," Research Papers by the Institute of Economics and Econometrics, Geneva School of Economics and Management, University of Geneva 90.5, Institut d'Economie et Econométrie, Université de Genève.
  14. M. Hashem Pesaran, 2003. "Estimation and Inference in Large Heterogenous Panels with Cross Section Dependence," CESifo Working Paper Series 869, CESifo Group Munich.
  15. Michael J. Boskin & Lawrence J. Lau, 1990. "Post-War Economic Growth in the Group-of-Five Countries: A New Analysis," NBER Working Papers 3521, National Bureau of Economic Research, Inc.
  16. Lee, K.C. & Pesaran, M.H., 1992. "The Role of Sectoral Interactions in Wage Determination in the UK Economy," Cambridge Working Papers in Economics 9214, Faculty of Economics, University of Cambridge.
  17. Cooley, Thomas F & Prescott, Edward C, 1976. "Estimation in the Presence of Stochastic Parameter Variation," Econometrica, Econometric Society, vol. 44(1), pages 167-84, January.
  18. Anderson, T. W. & Hsiao, Cheng., 1980. "Estimation of Dynamic Models with Error Components," Working Papers 336, California Institute of Technology, Division of the Humanities and Social Sciences.
  19. Hsiao, Cheng, 1975. "Some Estimation Methods for a Random Coefficient Model," Econometrica, Econometric Society, vol. 43(2), pages 305-25, March.
  20. P. A. V. B. Swamy & Peter A. Tinsley, 1976. "Linear prediction and estimation methods for regression models with stationary stochastic coefficients," Special Studies Papers 78, Board of Governors of the Federal Reserve System (U.S.).
  21. Swamy, P A V B, 1970. "Efficient Inference in a Random Coefficient Regression Model," Econometrica, Econometric Society, vol. 38(2), pages 311-23, March.
  22. 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.
  23. Phillips, Peter & Sul, Donggyu, 2002. "Dynamic Panel Estimation and Homogenity Testing Under Cross Section Dependence," Working Papers 194, Department of Economics, The University of Auckland.
  24. Pesaran, H. & Smith, R. & Im, K.S., 1995. "Dynamic Linear Models for Heterogeneous Panels," Cambridge Working Papers in Economics 9503, Faculty of Economics, University of Cambridge.
  25. Anderson, T. W. & Hsiao, Cheng, 1982. "Formulation and estimation of dynamic models using panel data," Journal of Econometrics, Elsevier, vol. 18(1), pages 47-82, January.
  26. 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.
  27. Hsiao, Cheng, 1974. "Statistical Inference for a Model with Both Random Cross-Sectional and Time Effects," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(1), pages 12-30, February.
  28. Klein, Lawrence R., 1988. "The statistical approach to economics," Journal of Econometrics, Elsevier, vol. 37(1), pages 7-26, January.
  29. Peter C.B. Phillips, 1995. "Unit Root Tests," Cowles Foundation Discussion Papers 1104, Cowles Foundation for Research in Economics, Yale University.
  30. Donald Robertson & James Symons, 2000. "Factor residuals in SUR regressions: estimating panels allowing for cross sectional correlation," LSE Research Online Documents on Economics 20163, London School of Economics and Political Science, LSE Library.
  31. Amemiya, Takeshi, 1978. "A Note on a Random Coefficients Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(3), pages 793-96, October.
  32. PAGAN, Adrian, . "Some identification and estimation results for regression models with stochastically varying coefficients," CORE Discussion Papers RP 413, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  33. Hsiao, C. & Appelbe, T.W. & Dineen, C.R., 1992. "A General Framework for Panel Data Models with an Application to Canadian Customer-Dialed Long Distance Telephone Service," Papers 90-92-15, California Irvine - School of Social Sciences.
  34. Hendricks, Wallace & Koenker, Roger & Poirier, Dale J., 1979. "Residential demand for electricity : An econometric approach," Journal of Econometrics, Elsevier, vol. 9(1-2), pages 33-57, January.
  35. Liu, Lon-Mu & Tiao, George C., 1980. "Random coefficient first-order autoregressive models," Journal of Econometrics, Elsevier, vol. 13(3), pages 305-325, August.
  36. Kajal Lahiri, 2005. "Analysis of Panel Data," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 87(4), pages 1093-1095.
  37. Kelejian, Harry H, 1974. "Random Parameters in a Simultaneous Equation Framework: Identification and Estimation," Econometrica, Econometric Society, vol. 42(3), pages 517-27, May.
  38. Yongcheol Shin & Ron P Smith & Mohammad Hashem Pesaran, 1998. "Pooled Mean Group Estimation of Dynamic Heterogeneous Panels," ESE Discussion Papers 16, Edinburgh School of Economics, University of Edinburgh.
  39. 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.
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