A note on the convergence of nonparametric DEA estimators for production efficiency scores

Kneip, Alois;Park, Byeong U.;Simar, Léopold
(1996) , 11 pages

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  • Kneip, AloisUCLouvain
    Author
  • Park, Byeong U.Seoul National University
    Author
  • Simar, LéopoldUCLouvain
    Author
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 consisered. 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 between the output- and the input-oriented case.
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Kneip, A., Park, B. U., & Simar, L. (1996). A note on the convergence of nonparametric DEA estimators for production efficiency scores (STAT Discussion Papers 9603). https://hdl.handle.net/2078.5/89507