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A Note on the Convergence of Nonparametric DEA Efficiency Measures

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  • KNEIP, Alois

    (Institut de Statistique and Center for Operations Research and Econometrics (CORE), Université catholique de Louvain (UCL), Louvain la Neuve, Belgium)

  • PARK, Byeong U.

    (Department of Computer Science and Statistics, Seoul National. University. Seoul, Korea)

  • SIMAR, Léopold

    ()
    (Institut de Statistique and Center for Operations Research and Econometrics (CORE), Université catholique de Louvain (UCL), Louvain la Neuve, Belgium)

Abstract

Efficiency scores of production units are measured by their distance to an estimated production frontier. Nonparametric DEA estimators are based on a finite sample of observed production units and radial distances are considered. We investigate the consistency and the speed of convergence of these estimated efficiency scores (or of the radial distances) in the very general setup of multi-output and multi-input case. It is shown that the speed of convergence relies on the smoothness of the unknown frontier and on the number of inputs and of outputs. Furthermore, one has to distinguish betwen the output- and the input-oriented case.

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Bibliographic Info

Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 1996039.

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Date of creation: 01 Sep 1996
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Handle: RePEc:cor:louvco:1996039

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Cited by:
  1. David C. Wheelock & Paul Wilson, 2007. "Non-parametric, unconditional quantile estimation for efficiency analysis with an application to Federal Reserve check processing operations," Working Papers 2005-027, Federal Reserve Bank of St. Louis.
  2. Paul W. Wilson & David C. Wheelock, 2004. "Robust Nonparametric Estimation of Efficiency and Technical Change in U.S. Commercial Banking," Econometric Society 2004 North American Summer Meetings 433, Econometric Society.
  3. Leopold Simar & Paul Wilson, 2000. "A general methodology for bootstrapping in non-parametric frontier models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 27(6), pages 779-802.
  4. Kneip, Alois & Simar, Léopold & Wilson, Paul W., 2008. "Asymptotics And Consistent Bootstraps For Dea Estimators In Nonparametric Frontier Models," Econometric Theory, Cambridge University Press, vol. 24(06), pages 1663-1697, December.
  5. Kittelsen,S.A.C., 1999. "Monte Carlo simulations of DEA efficiency measures and hypothesis tests," Memorandum 09/1999, Oslo University, Department of Economics.
  6. Theodoridis, A.M. & Psychoudakis, A. & Christofi, A., 2006. "Data Envelopment Analysis as a Complement to Marginal Analysis," Agricultural Economics Review, Greek Association of Agricultural Economists, vol. 7(2), August.
  7. Kjoeserud,G.G. & Kvamme,O.J. & Kittelsen,S.A.C., 2001. "Errors in survey based quality evaluation variables in efficiency models of primary care physicians," Memorandum 24/2001, Oslo University, Department of Economics.
  8. David C. Wheelock & Paul W. Wilson, 1995. "Why do banks disappear? The determinants of U.S. bank failures and acquisitions," Working Papers 1995-013, Federal Reserve Bank of St. Louis.
  9. Léopold Simar & Paul Wilson, 2011. "Two-stage DEA: caveat emptor," Journal of Productivity Analysis, Springer, vol. 36(2), pages 205-218, October.
  10. Simar, L. & Wilson, P.W., 1998. "Productivity Growth in Industrialized Countries," Papers 9810, Catholique de Louvain - Institut de statistique.
  11. Ferjani, Ali, 2005. "Does Switzerland Have a Productivity Problem?," Agrarwirtschaft und Agrarsoziologie/ Economie et Sociologie Rurales, Swiss Society for Agricultural Economics and Rural Sociology, issue 1.
  12. Kittelsen, Sverre A.C. & Magnussen, Jon, 2009. "Testing DEA Models of Efficiency in Norwegian Psychiatric Outpatient Clinics," HERO On line Working Paper Series 1999:4, Oslo University, Health Economics Research Programme.
  13. Laurent Cavaignac, 2009. "Bias of distance functions estimates and Primont and Primont’s homotheticity test," Journal of Productivity Analysis, Springer, vol. 31(2), pages 95-100, April.
  14. Léopold Simar & Paul Wilson, 2011. "Inference by the m out of n bootstrap in nonparametric frontier models," Journal of Productivity Analysis, Springer, vol. 36(1), pages 33-53, August.
  15. Alois Kneip & Léopold Simar & Paul Wilson, 2011. "A Computationally Efficient, Consistent Bootstrap for Inference with Non-parametric DEA Estimators," Computational Economics, Society for Computational Economics, vol. 38(4), pages 483-515, November.
  16. Hallsteinli, Vidar & Kittelsen, Sverre AC & Magnussen, Jon, 2009. "Scale, efficiency and organization in Norwegian psychiatric outpatient clinics for children," HERO On line Working Paper Series 2001:8, Oslo University, Health Economics Research Programme.

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