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Estimating fixed-effect panel stochastic frontier models by model transformation

  • Wang, Hung-Jen
  • Ho, Chia-Wen

Traditional panel stochastic frontier models do not distinguish between unobserved individual heterogeneity and inefficiency. They thus force all time-invariant individual heterogeneity into the estimated inefficiency. Greene (2005) proposes a true fixed-effect stochastic frontier model which, in theory, may be biased by the incidental parameters problem. The problem usually cannot be dealt with by model transformations owing to the nonlinearity of the stochastic frontier model. In this paper, we propose a class of panel stochastic frontier models which create an exception. We show that first-difference and within-transformation can be analytically performed on this model to remove the fixed individual effects, and thus the estimator is immune to the incidental parameters problem. Consistency of the estimator is obtained by either N-->[infinity] or T-->[infinity], which is an attractive property for empirical researchers.

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Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 157 (2010)
Issue (Month): 2 (August)
Pages: 286-296

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Handle: RePEc:eee:econom:v:157:y:2010:i:2:p:286-296
Contact details of provider: Web page: http://www.elsevier.com/locate/jeconom

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  1. Kumbhakar, Subal C., 1990. "Production frontiers, panel data, and time-varying technical inefficiency," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 201-211.
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  6. Steven N. Kaplan & Luigi Zingales, 2000. "Investment-Cash Flow Sensitivities Are Not Valid Measures Of Financing Constraints," The Quarterly Journal of Economics, MIT Press, vol. 115(2), pages 707-712, May.
  7. Jondrow, James & Knox Lovell, C. A. & Materov, Ivan S. & Schmidt, Peter, 1982. "On the estimation of technical inefficiency in the stochastic frontier production function model," Journal of Econometrics, Elsevier, vol. 19(2-3), pages 233-238, August.
  8. Robert E. Carpenter & Steven M. Fazzari & Bruce C. Petersen, 1994. "Inventory Investment, Internal-Finance Fluctuation, and the Business Cycle," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 25(2), pages 75-138.
  9. Peter Schmidt & Antonio Alvarez & Christine Amsler, 2004. "Interpreting and testing the scaling property in models where inefficiency depends on firm characteristics," Econometric Society 2004 Far Eastern Meetings 520, Econometric Society.
  10. Hung-jen Wang & Peter Schmidt, 2002. "One-Step and Two-Step Estimation of the Effects of Exogenous Variables on Technical Efficiency Levels," Journal of Productivity Analysis, Springer, vol. 18(2), pages 129-144, September.
  11. William Greene, 2002. "Fixed and Random Effects in Stochastic Frontier Models," Working Papers 02-16, New York University, Leonard N. Stern School of Business, Department of Economics.
  12. Simon Gilchrist & Charles P. Himmelberg, 1995. "Evidence on the Role of Cash Flow for Investment," Working Papers 95-01, New York University, Leonard N. Stern School of Business, Department of Economics.
  13. Gertler, Mark & Gilchrist, Simon, 1994. "Monetary Policy, Business Cycles, and the Behavior of Small Manufacturing Firms," The Quarterly Journal of Economics, MIT Press, vol. 109(2), pages 309-40, May.
  14. Caudill, Steven B & Ford, Jon M & Gropper, Daniel M, 1995. "Frontier Estimation and Firm-Specific Inefficiency Measures in the Presence of Heteroscedasticity," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(1), pages 105-11, January.
  15. Caudill, Steven B. & Ford, Jon M., 1993. "Biases in frontier estimation due to heteroscedasticity," Economics Letters, Elsevier, vol. 41(1), pages 17-20.
  16. Nan-Kuang Chen & Hung-Jen Wang, 2008. "Identifying the Demand and Supply Effects of Financial Crises on Bank Credit—Evidence from Taiwan," Southern Economic Journal, Southern Economic Association, vol. 75(1), pages 26-49, July.
  17. Steven M. Fazzari & R. Glenn Hubbard & Bruce C. Petersen, 2000. "Investment-Cash Flow Sensitivities Are Useful: A Comment On Kaplan And Zingales," The Quarterly Journal of Economics, MIT Press, vol. 115(2), pages 695-705, May.
  18. Robert E. Carpenter & Steven M. Fazzari & Bruce C. Petersen, 1994. "Inventory (Dis)Investment, Internal Finance Fluctuations, and the Business Cycle," Macroeconomics 9401001, EconWPA.
  19. Battese, George E., 1992. "Frontier production functions and technical efficiency: a survey of empirical applications in agricultural economics," Agricultural Economics, Blackwell, vol. 7(3-4), pages 185-208, October.
  20. Schmidt, Peter & Sickles, Robin C, 1984. "Production Frontiers and Panel Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 367-74, October.
  21. Reifschneider, David & Stevenson, Rodney, 1991. "Systematic Departures from the Frontier: A Framework for the Analysis of Firm Inefficiency," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(3), pages 715-23, August.
  22. Cornwell, Christopher & Schmidt, Peter, 1992. "Models for Which the MLE and the Conditional MLE Coincide," Empirical Economics, Springer, vol. 17(1), pages 67-75.
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  24. repec:cup:cbooks:9780521666633 is not listed on IDEAS
  25. Greene, William, 2005. "Reconsidering heterogeneity in panel data estimators of the stochastic frontier model," Journal of Econometrics, Elsevier, vol. 126(2), pages 269-303, June.
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