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Negative Data in DEA: A Simple Proportional Distance Function Approach

  • Kristiaan Kerstens

    ()

    (CNRS-LEM (UMR 8179), IESEG School of Management)

  • Ignace Van de Woestyne

    (Hogeschool Universiteit Brussel, Brussels, Belgium)

The need to adapt Data Development Analysis (DEA) and other frontier models in the context of negative data has been a rather neglected issue in the literature. Silva Portela, Thanassoulis, and Simpson (2004) proposed a variation on the directional distance function, a very general distance function that is dual to the profit function, to accomodate eventual negative data. In this contribution, we suggest a simple varaiation on the proportional distance funtion that can do the same job.

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Paper provided by IESEG School of Management in its series Working Papers with number 2009-ECO-03.

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Length: 11 pages
Date of creation: Apr 2009
Date of revision:
Handle: RePEc:ies:wpaper:e200903
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  1. Walter Briec & Kristiaan Kerstens, 2008. "Infeasibility and Directional Distance Functions with Application to the Determinateness of the Luenberger Productivity Indicator," Working Papers 2008-ECO-11, IESEG School of Management.
  2. Robert G. Chambers, 2002. "Exact nonradial input, output, and productivity measurement," Economic Theory, Springer, vol. 20(4), pages 751-765.
  3. Jean-Paul Chavas & Kwansoo Kim, 2007. "Measurement and Sources of Economies of Scope: A Primal Approach," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 163(3), pages 411-427, September.
  4. Finn R. Førsund & Nikias Sarafoglou, 2005. "The Tale of Two research Communities: The Diffusion of Research on Productive Efficiency," Department of Economics University of Siena 446, Department of Economics, University of Siena.
  5. W. Briec, 1997. "A Graph-Type Extension of Farrell Technical Efficiency Measure," Journal of Productivity Analysis, Springer, vol. 8(1), pages 95-110, March.
  6. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
  7. Patrick T. Harker & Stavros A. Zenios, 1998. "What Drives the Performance of Financial Institutions?," Center for Financial Institutions Working Papers 98-21, Wharton School Center for Financial Institutions, University of Pennsylvania.
  8. Emrouznejad, Ali & Parker, Barnett R. & Tavares, Gabriel, 2008. "Evaluation of research in efficiency and productivity: A survey and analysis of the first 30 years of scholarly literature in DEA," Socio-Economic Planning Sciences, Elsevier, vol. 42(3), pages 151-157, September.
  9. Murthi, B. P. S. & Choi, Yoon K. & Desai, Preyas, 1997. "Efficiency of mutual funds and portfolio performance measurement: A non-parametric approach," European Journal of Operational Research, Elsevier, vol. 98(2), pages 408-418, April.
  10. Walter Briec & K. Kerstens, 2009. "Infeasibilities and directional distance functions: with application to the determinateness of the luenberger productivity indicator," Post-Print hal-00372560, HAL.
  11. Smith, P, 1990. "Data envelopment analysis applied to financial statements," Omega, Elsevier, vol. 18(2), pages 131-138.
  12. DE BORGER, Bruno & KERSTENS, Kristiaan & COSTA, Álvaro, . "Public transit performance: What do we learn from frontier studies?," Working Papers 2000019, University of Antwerp, Faculty of Applied Economics.
  13. Andrew Worthington, 2001. "An Empirical Survey of Frontier Efficiency Measurement Techniques in Education," Education Economics, Taylor & Francis Journals, vol. 9(3), pages 245-268.
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