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Predicting technical effciency in stochastic production frontier models in the presence of misspecification: a Monte-Carlo analysis

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Konstantinos Giannakas
Kien C. Tran
Vangelis Tzouvelekas

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Abstract

This paper provides a theoretical explanation for the sensitivity of technical efficiency measures to the choice of functional specification in stochastic production frontier models. It is shown that inappropriate functional specifications translate into a misspecification in the conditional mean of the stochastic frontier regression model. This misspecification, in turn, results in estimates of technical efficiency, confidence intervals and production elasticities being biased, even asymptotically. Monte-Carlo simulations reveal that the severity of the bias depends on the functional specification and the percentage contribution of the variance of technical inefficiency to the total variance of the composed errors.

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Article provided by Taylor and Francis Journals in its journal Applied Economics.

Volume (Year): 35 (2003)
Issue (Month): 2 (January)
Pages: 153-161
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Handle: RePEc:taf:applec:v:35:y:2003:i:2:p:153-161

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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. Gong, Byeong-Ho & Sickles, Robin C., 1992. "Finite sample evidence on the performance of stochastic frontiers and data envelopment analysis using panel data," Journal of Econometrics, Elsevier, vol. 51(1-2), pages 259-284. [Downloadable!] (restricted)
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  2. Fare, Rolf & Knox Lovell, C. A., 1978. "Measuring the technical efficiency of production," Journal of Economic Theory, Elsevier, vol. 19(1), pages 150-162, October. [Downloadable!] (restricted)
  3. William H. Greene, 1993. "Frontier Production Functions," Working Papers 93-20, New York University, Leonard N. Stern School of Business, Department of Economics.
  4. Zhu, Suzhen & Ellinger, Paul N & Shumway, C Richard, 1995. "The Choice of Functional Form and Estimation of Banking Inefficiency," Applied Economics Letters, Taylor and Francis Journals, vol. 2(10), pages 375-79, October. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. 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.
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  8. Kumbhakar, Subal C. & Heshmati, Almas & Hjalmarsson, Lennart, 1997. "Temporal patterns of technical efficiency: Results from competing models," International Journal of Industrial Organization, Elsevier, vol. 15(5), pages 597-616, August. [Downloadable!] (restricted)
  9. Appelbaum, Elie, 1979. "On the Choice of Functional Forms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(2), pages 449-58, June. [Downloadable!] (restricted)
  10. Berndt, Ernst R & Khaled, Mohammed S, 1979. "Parametric Productivity Measurement and Choice among Flexible Functional Forms," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1220-45, December. [Downloadable!] (restricted)
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  13. Meeusen, Wim & van den Broeck, Julien, 1977. "Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(2), pages 435-44, June. [Downloadable!] (restricted)
  14. Aigner, Dennis & Lovell, C. A. Knox & Schmidt, Peter, 1977. "Formulation and estimation of stochastic frontier production function models," Journal of Econometrics, Elsevier, vol. 6(1), pages 21-37, July. [Downloadable!] (restricted)
  15. Battese, George E. & Coelli, Tim J., 1988. "Prediction of firm-level technical efficiencies with a generalized frontier production function and panel data," Journal of Econometrics, Elsevier, vol. 38(3), pages 387-399, July. [Downloadable!] (restricted)
  16. Giannakas, Konstantinos & Tran, Kien C & Tzouvelekas, Vangelis, 2000. "Efficiency, Technological Change and Output Growth in Greek Olive Growing Farms: A Box-Cox Approach," Applied Economics, Taylor and Francis Journals, vol. 32(7), pages 909-16, June. [Downloadable!] (restricted)
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  18. Hadri, Kaddour, 1999. "Estimation of a Doubly Heteroscedastic Stochastic Frontier Cost Function," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(3), pages 359-63, July.
  19. Konstantinos Giannakas & Kien C. Tran & Vangelis Tzouvelekas, 2003. "On the choice of functional form in stochastic frontier modeling," Empirical Economics, Springer, vol. 28(1), pages 75-100, January. [Downloadable!] (restricted)
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  21. Olson, Jerome A. & Schmidt, Peter & Waldman, Donald M., 1980. "A Monte Carlo study of estimators of stochastic frontier production functions," Journal of Econometrics, Elsevier, vol. 13(1), pages 67-82, May. [Downloadable!] (restricted)
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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. Kelvin Balcombe & Iain Fraser & Jae H. Kim, 2006. "Estimating technical efficiency of Australian dairy farms using alternative frontier methodologies," Applied Economics, Taylor and Francis Journals, vol. 38(19), pages 2221-2236, October. [Downloadable!] (restricted)
  2. Carlos Pestana Barros & Gustavo Ferro & Carlos Romero, 2008. "Technical Efficiency and Heterogeneity of Argentina Pension Funds," Working Papers 2008/29, Department of Economics at the School of Economics and Management (ISEG), Technical University of Lisbon.. [Downloadable!]
  3. Ravallion, Martin, 2003. "In measuring aggregate"social efficiency"," Policy Research Working Paper Series 3166, The World Bank. [Downloadable!]
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