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Confidence Statements for Efficiency Estimates from Stochastic Frontier Models

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Author Info

  • William C. Horrace

    (University of Arizona)

  • Peter Schmidt

    (Michigan State University)

Abstract

This paper is an empirical study of the uncertainty associated with estimates from stochastic frontier models. We show how to construct confidence intervals for estimates of technical efficiency levels under different sets of assumptions ranging from the very strong to the relatively weak. We demonstrate empirically how the degree of uncertainty associated with these estimates relates to the strength of the assumptions made and to various features of the data.

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File URL: http://128.118.178.162/eps/em/papers/0206/0206006.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Econometrics with number 0206006.

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Length: 42 pages
Date of creation: 20 Jun 2002
Date of revision:
Handle: RePEc:wpa:wuwpem:0206006

Note: Type of Document - Acrobat PDF; prepared on IBM PC; to print on HP; pages: 42; figures: Included. None
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Web page: http://128.118.178.162

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Keywords: Confidence intervals; stochastic frontier models; efficiency measurement;

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References

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  1. Park, B. U. & Simar, L., . "Efficient semiparametric estimation in a stochastic frontier model," CORE Discussion Papers RP -1113, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Gijbels, Irène & Mammen, Enno & Park, Byeong U. & Simar, Léopold, 1998. "On estimation of monotone and concave frontier functions," SFB 373 Discussion Papers 1998,9, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  3. 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.
  4. 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.
  5. repec:fth:louvco:9560 is not listed on IDEAS
  6. 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.
  7. Seale, James M, Jr, 1990. "Estimating Stochastic Frontier Systems with Unbalanced Panel Data: The Case of Floor Tile Manufactories in Egypt," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 5(1), pages 59-74, January-M.
  8. Tsybakov, A.B. & Korostelev, A.P. & Simar, L., 1992. "Efficient Estimation of Monotone Boundaries," Papers 9209, Catholique de Louvain - Institut de statistique.
  9. 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.
  10. William C. Horrace & Peter Schmidt, 2000. "Multiple comparisons with the best, with economic applications," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(1), pages 1-26.
  11. KNEIP, Alois & SIMAR, Léopold, 1995. "A General Framework for Frontier Estimation with Panel Data," CORE Discussion Papers 1995060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  12. Léopold Simar & Paul W. Wilson, 1998. "Sensitivity Analysis of Efficiency Scores: How to Bootstrap in Nonparametric Frontier Models," Management Science, INFORMS, vol. 44(1), pages 49-61, January.
  13. Greene, William H., 1990. "A Gamma-distributed stochastic frontier model," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 141-163.
  14. repec:wop:humbsf:1998-9 is not listed on IDEAS
  15. Stevenson, Rodney E., 1980. "Likelihood functions for generalized stochastic frontier estimation," Journal of Econometrics, Elsevier, vol. 13(1), pages 57-66, May.
  16. Pitt, Mark M. & Lee, Lung-Fei, 1981. "The measurement and sources of technical inefficiency in the Indonesian weaving industry," Journal of Development Economics, Elsevier, vol. 9(1), pages 43-64, August.
  17. 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.
  18. Cornwell, Christopher & Schmidt, Peter & Sickles, Robin C., 1990. "Production frontiers with cross-sectional and time-series variation in efficiency levels," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 185-200.
  19. Cornwell, C. & Schmidt, P., 1993. "Production Frontiers and Efficiency Measurement," Papers 427e, Georgia - College of Business Administration, Department of Economics.
  20. Kumbhakar, Subal C., 1990. "Production frontiers, panel data, and time-varying technical inefficiency," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 201-211.
  21. Waldman, Donald M., 1982. "A stationary point for the stochastic frontier likelihood," Journal of Econometrics, Elsevier, vol. 18(2), pages 275-279, February.
  22. Korostelev, A.P. & Simar , L. & Tsybakov, A.B., . "On estimation of monotone and convex boundaries," CORE Discussion Papers RP -1139, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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