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A general methodology for bootstrapping in non-parametric frontier models

  • Leopold Simar
  • Paul Wilson

The Data Envelopment Analysis method has been extensively used in the literature to provide measures of firms' technical efficiency. These measures allow rankings of firms by their apparent performance. The underlying frontier model is non-parametric since no particular functional form is assumed for the frontier model. Since the observations result from some data-generating process, the statistical properties of the estimated efficiency measures are essential for their interpretations. In the general multi-output multi-input framework, the bootstrap seems to offer the only means of inferring these properties (i.e. to estimate the bias and variance, and to construct confidence intervals). This paper proposes a general methodology for bootstrapping in frontier models, extending the more restrictive method proposed in Simar & Wilson (1998) by allowing for heterogeneity in the structure of efficiency. A numerical illustration with real data is provided to illustrate the methodology.

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Article provided by Taylor & Francis Journals in its journal Journal of Applied Statistics.

Volume (Year): 27 (2000)
Issue (Month): 6 ()
Pages: 779-802

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Handle: RePEc:taf:japsta:v:27:y:2000:i:6:p:779-802
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  1. Simar, L. & Wilson, P.W., . "Sensitivity analysis of efficiency scores: how to bootstrap in nonparametric frontier models," CORE Discussion Papers RP 1304, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. GIJBELS, Irène & MAMMEN, Enno & PARK, Byeong U. & SIMAR, Léopold, . "On estimation of monotone and concave frontier functions," CORE Discussion Papers RP 1392, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. SIMAR, Léopold & WILSON, Paul, 1996. "Estimating and bootstrapping malmquist indices," CORE Discussion Papers 1996060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Tsybakov, A.B. & Korostelev, A.P. & Simar, L., 1992. "Efficient Estimation of Monotone Boundaries," Papers 9209, Catholique de Louvain - Institut de statistique.
  5. repec:cor:louvrp:-571 is not listed on IDEAS
  6. KNEIP, Alois & PARK, Byeong U. & SIMAR, Léopold, 1996. "A Note on the Convergence of Nonparametric DEA Efficiency Measures," CORE Discussion Papers 1996039, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. Fare,Rolf & Grosskopf,Shawna & Lovell,C. A. Knox, 2008. "Production Frontiers," Cambridge Books, Cambridge University Press, number 9780521072069, October.
  8. repec:cor:louvrp:-1139 is not listed on IDEAS
  9. Kneip, A. & Simar, L., . "A general framework for frontier estimation with panel data," CORE Discussion Papers RP 1224, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  10. Wilson, Paul W, 1993. "Detecting Outliers in Deterministic Nonparametric Frontier Models with Multiple Outputs," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(3), pages 319-23, July.
  11. Simar, L., . "Aspects of statistical analysis in DEA-type frontier models," CORE Discussion Papers RP 1226, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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