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Part of the book series: Harzer wirtschaftswissenschaftliche Schriften ((HWS))

Abstract

Continuity is a desirable property of an efficiency measure. It ensures that small data errors cause only small errors in the efficiency measure. In this paper continuity properties of the BCC efficiency measure are studied. Examples are given where this measure “jumps” under arbitrary small data perturbations. However, it is shown that under weak assumptions it depends continuously on the input output data. Implications to the stability of efficiency classifications are discussed, and the results are illustrated by an empirical example.

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References

  • Andersen, P. and N. Petersen (1993): A procedure for ranking efficient units in Data Envelopment Analysis, Management Science 39, 1261–1264.

    Article  Google Scholar 

  • Banker, R. D., A. Charnes, and W. W. Cooper (1984): Some models for estimating technical and scale inefficiencies in Data Envelopment Analysis, Management Science 30, 1078–1092.

    Article  Google Scholar 

  • Charnes, A., W. W. Cooper, and E. Rhodes (1978): Measuring the efficiency of decision making units, European Journal of Operational Research 2, 429–444.

    Article  Google Scholar 

  • Charnes, A., W. W. Cooper, and R. M. Thrall (1986): Classifying and characterizing efficiencies and inefficiencies in Data Envelopment Analysis, Operations Research Letters 5, 105–110.

    Article  Google Scholar 

  • Epstein, M. K. and J. C. Henderson (1989): Data Envelopment Analysis for managerial control and diagnosis, Decision Sciences 20, 90–119.

    Article  Google Scholar 

  • Färe, R. and C. A. K. Lovell (1978): Measuring the technical efficiency of production, Journal of Economic Theory 19, 150–162.

    Article  Google Scholar 

  • Kuntz, L. and S. Scholtes (1996): Sensitivity of efficient technologies in Data Envelopment Analysis, Technical report, University of Cambridge, Cambridge CB2 1PZ, England.

    Google Scholar 

  • Robinson, S. M. (1977): A characterization of stability in linear programming, Operations Research 25, 435–447.

    Article  Google Scholar 

  • Russell, R. R. (1985): Measures of technical efficiency, Journal of Economic Theory 35, 109–126.

    Article  Google Scholar 

  • Russell, R. R. (1990): Continuity of measures of technical efficiency, Journal of Economic Theory 51, 255–267.

    Article  Google Scholar 

  • Scheel, H. and S. Scholtes (1998): Stability of DEA efficiency scores, Judge Institute of Management Studies Working Paper Series 36/1998, University of Cambridge, Cambridge CB2 1PZ, England.

    Google Scholar 

  • Seiford, L. M. (1996): Data Envelopment Analysis: The evolution of the state of the art (1978-1995), Journal of Productivity Analysis 7, 99–137.

    Article  Google Scholar 

  • Wilson, P. W. (1995): Detecting influential observations in Data Envelopment Analysis, The Journal of Productivity Analysis 6, 27–45.

    Article  Google Scholar 

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Georg Westermann

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© 1999 Springer Fachmedien Wiesbaden

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Scheel, H. (1999). Continuity of the BCC Efficiency Measure. In: Westermann, G. (eds) Data Envelopment Analysis in the Service Sector. Harzer wirtschaftswissenschaftliche Schriften. Deutscher Universitätsverlag, Wiesbaden. https://doi.org/10.1007/978-3-663-08343-6_4

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  • DOI: https://doi.org/10.1007/978-3-663-08343-6_4

  • Publisher Name: Deutscher Universitätsverlag, Wiesbaden

  • Print ISBN: 978-3-8244-7012-9

  • Online ISBN: 978-3-663-08343-6

  • eBook Packages: Springer Book Archive

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