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Negative Data in DEA: A Simple Proportional Distance Function Approach

Author

Listed:
  • Kristiaan Kerstens

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

  • Ignace Van de Woestyne

    (Hogeschool Universiteit Brussel, Brussels, Belgium)

Abstract

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.

Suggested Citation

  • Kristiaan Kerstens & Ignace Van de Woestyne, 2009. "Negative Data in DEA: A Simple Proportional Distance Function Approach," Working Papers 2009-ECO-03, IESEG School of Management.
  • Handle: RePEc:ies:wpaper:e200903
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    References listed on IDEAS

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    1. repec:pal:jorsoc:v:55:y:2004:i:10:d:10.1057_palgrave.jors.2601768 is not listed on IDEAS
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    Cited by:

    1. repec:pal:jorsoc:v:68:y:2017:i:11:d:10.1057_s41274-016-0137-8 is not listed on IDEAS
    2. Sahoo, Biresh K. & Luptacik, Mikulas & Mahlberg, Bernhard, 2011. "Alternative measures of environmental technology structure in DEA: An application," European Journal of Operational Research, Elsevier, vol. 215(3), pages 750-762, December.
    3. Aparicio, Juan & Pastor, Jesus T. & Vidal, Fernando, 2016. "The directional distance function and the translation invariance property," Omega, Elsevier, vol. 58(C), pages 1-3.
    4. Kerstens, Kristiaan & Van de Woestyne, Ignace, 2014. "A note on a variant of radial measure capable of dealing with negative inputs and outputs in DEA," European Journal of Operational Research, Elsevier, pages 341-342.
    5. Yang, Min & Li, Yongjun & Chen, Ya & Liang, Liang, 2014. "An equilibrium efficiency frontier data envelopment analysis approach for evaluating decision-making units with fixed-sum outputs," European Journal of Operational Research, Elsevier, vol. 239(2), pages 479-489.
    6. Sahoo, Biresh K & Khoveyni, Mohammad & Eslami, Robabeh & Chaudhury, Pradipta, 2016. "Returns to scale and most productive scale size in DEA with negative data," European Journal of Operational Research, Elsevier, vol. 255(2), pages 545-558.
    7. Cinzia Daraio & Léopold Simar, 2016. "Efficiency and benchmarking with directional distances: a data-driven approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, pages 928-944.
    8. repec:eee:jomega:v:75:y:2018:i:c:p:57-76 is not listed on IDEAS
    9. Sahoo, Biresh K. & Mehdiloozad, Mahmood & Tone, Kaoru, 2014. "Cost, revenue and profit efficiency measurement in DEA: A directional distance function approach," European Journal of Operational Research, Elsevier, vol. 237(3), pages 921-931.
    10. Basso, Antonella & Funari, Stefania, 2014. "Constant and variable returns to scale DEA models for socially responsible investment funds," European Journal of Operational Research, Elsevier, vol. 235(3), pages 775-783.
    11. Brandouy, Olivier & Kerstens, Kristiaan & Van de Woestyne, Ignace, 2015. "Frontier-based vs. traditional mutual fund ratings: A first backtesting analysis," European Journal of Operational Research, Elsevier, pages 332-342.
    12. Tarnaud, Albane Christine & Leleu, Hervé, 2018. "Portfolio analysis with DEA: Prior to choosing a model," Omega, Elsevier, vol. 75(C), pages 57-76.
    13. Alka Obadić & Aleksander Aristovnik, 2011. "Relative efficiency of higher education in Croatia and Slovenia: an international comparison," The AMFITEATRU ECONOMIC journal, Academy of Economic Studies - Bucharest, Romania, vol. 13(30), pages 362-376, June.
    14. Barra, Cristian & Zotti, Roberto, 2014. "Handling negative data using Data Envelopment Analysis: a directional distance approach applied to higher education," MPRA Paper 55570, University Library of Munich, Germany.

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    Keywords

    DEA; negative data; directional distance funtion;

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