IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this article or follow this journal

Input, output and graph technical efficiency measures on non-convex FDH models with various scaling laws: An integrated approach based upon implicit enumeration algorithms

  • Walter Briec

    ()

  • Kristiaan Kerstens

    ()

In a recent article, Briec, Kerstens and Vanden Eeckaut (2004) develop a series of nonparametric, deterministic non-convex technologies integrating traditional returns to scale assumptions into the non-convex FDH model. They show, among other things, how the traditional technical input efficiency measure can be analytically derived for these technology specifications. In this paper, we develop a similar approach to calculate output and graph measures of technical efficiency and indicate the general advantage of such solution strategy via enumeration. Furthermore, several analytical formulas are established and some algorithms are proposed relating the three measurement orientations to one another.

(This abstract was borrowed from another version of this item.)

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://hdl.handle.net/10.1007/BF02579006
Download Restriction: Access to full text is restricted to subscribers.

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Article provided by Springer in its journal Top.

Volume (Year): 14 (2006)
Issue (Month): 1 (June)
Pages: 135-166

as
in new window

Handle: RePEc:spr:topjnl:v:14:y:2006:i:1:p:135-166
Contact details of provider: Web page: http://www.springerlink.com/link.asp?id=120409

Order Information: Web: http://link.springer.de/orders.htm

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Leleu, Herve, 2006. "A linear programming framework for free disposal hull technologies and cost functions: Primal and dual models," European Journal of Operational Research, Elsevier, vol. 168(2), pages 340-344, January.
  2. Bauer, Paul W. & Hancock, Diana, 1993. "The efficiency of the Federal Reserve in providing check processing services," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 287-311, April.
  3. Scarf, Herbert E, 1981. "Production Sets with Indivisibilities-Part I: Generalities," Econometrica, Econometric Society, vol. 49(1), pages 1-32, January.
  4. KERSTENS, Kristiaan & VANDEN EECKAUT, Philippe, 1997. "Estimating returns to scale using nonparametric deterministic technologies : a new method based on goodness-of-fit," CORE Discussion Papers 1997013, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Simar, L. & Wilson, P.W., 1999. "Statistical Inference in Nonparametric Frontier Models: the State of the Art," Papers 9904, Catholique de Louvain - Institut de statistique.
  6. Maria Silva Portela & Pedro Borges & Emmanuel Thanassoulis, 2003. "Finding Closest Targets in Non-Oriented DEA Models: The Case of Convex and Non-Convex Technologies," Journal of Productivity Analysis, Springer, vol. 19(2), pages 251-269, April.
  7. Herbert E. Scarf, 1994. "The Allocation of Resources in the Presence of Indivisibilities," Cowles Foundation Discussion Papers 1068, Cowles Foundation for Research in Economics, Yale University.
  8. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
  9. Destefanis, Sergio, 2002. "The Verdoorn Law: Some Evidence from Non-parametric Frontier Analysis," MPRA Paper 60954, University Library of Munich, Germany.
  10. Walter Briec & Kristiaan Kerstens & Philippe Venden Eeckaut, 2004. "Non-convex Technologies and Cost Functions: Definitions, Duality and Nonparametric Tests of Convexity," Journal of Economics, Springer, vol. 81(2), pages 155-192, 02.
  11. 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.
  12. Scarf, Herbert E, 1981. "Production Sets with Indivisibilities-Part II: The Case of Two Activities," Econometrica, Econometric Society, vol. 49(2), pages 395-423, March.
  13. Scarf, Herbert E, 1986. "Neighborhood Systems for Production Sets with Indivisibilities," Econometrica, Econometric Society, vol. 54(3), pages 507-32, May.
  14. Tone, Kaoru & Sahoo, Biresh K., 2003. "Scale, indivisibilities and production function in data envelopment analysis," International Journal of Production Economics, Elsevier, vol. 84(2), pages 165-192, May.
  15. Fare, Rolf & Grosskopf, Shawna & Lovell, C A Knox, 1983. " The Structure of Technical Efficiency," Scandinavian Journal of Economics, Wiley Blackwell, vol. 85(2), pages 181-90.
  16. Peter Bogetoft, 1996. "DEA on Relaxed Convexity Assumptions," Management Science, INFORMS, vol. 42(3), pages 457-465, March.
  17. MAIRESSE, François & VANDEN EECKAUT, Philippe, . "Museum assessment and FDH technology: towards a global approach," CORE Discussion Papers RP -1565, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  18. Fare, Rolf & Grosskopf, Shawna & Zaim, Osman, 2002. "Hyperbolic efficiency and return to the dollar," European Journal of Operational Research, Elsevier, vol. 136(3), pages 671-679, February.
  19. Borger, Bruno De & Ferrier, Gary D. & Kerstens, Kristiaan, 1998. "The choice of a technical efficiency measure on the free disposal hull reference technology: A comparison using US banking data," European Journal of Operational Research, Elsevier, vol. 105(3), pages 427-446, March.
  20. Walter Briec & Kristiaan Kerstens & Hervé Leleu & Philippe Eeckaut, 2000. "Returns to Scale on Nonparametric Deterministic Technologies: Simplifying Goodness-of-Fit Methods Using Operations on Technologies," Journal of Productivity Analysis, Springer, vol. 14(3), pages 267-274, November.
  21. Walter Briec & Kristiaan Kerstens & Philippe Vanden Eeckaut, 2006. "Non-convex Technologies and Cost Functions: Definitions, Duality and Nonparametric Tests of Convexity (Journal of Economics 81(2):155–192)," Journal of Economics, Springer, vol. 87(3), pages 307-308, 04.
  22. Drake, Leigh & Simper, R., 2003. "The measurement of English and Welsh police force efficiency: A comparison of distance function models," European Journal of Operational Research, Elsevier, vol. 147(1), pages 165-186, May.
  23. Fare, Rolf & Li, Sung Ko, 1998. "Inner and outer approximations of technology: a data envelopment analysis approach," European Journal of Operational Research, Elsevier, vol. 105(3), pages 622-625, March.
  24. DEPRINS, Dominique & SIMAR, Léopold & TULKENS, Henry, . "Measuring labor-efficiency in post offices," CORE Discussion Papers RP -571, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  25. Sylvain Bouhnik & Boaz Golany & Ury Passy & Steven Hackman & Dimitra Vlatsa, 2001. "Lower Bound Restrictions on Intensities in Data Envelopment Analysis," Journal of Productivity Analysis, Springer, vol. 16(3), pages 241-261, November.
  26. Alam, Ila M Semenick & Sickles, Robin C, 2000. "Time Series Analysis of Deregulatory Dynamics and Technical Efficiency: The Case of the U.S. Airline Industry," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(1), pages 203-18, February.
  27. Thore, Sten, 1996. "Economies of Scale in the US Computer Industry: An Empirical Investigation Using Data Envelopment Analysis," Journal of Evolutionary Economics, Springer, vol. 6(2), pages 199-216, May.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:spr:topjnl:v:14:y:2006:i:1:p:135-166. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Guenther Eichhorn)

or (Christopher F Baum)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.