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Graph efficiency and productivity measures: an application to US agriculture

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  • Jose Zofio
  • C. A. Knox Lovell

Abstract

Hyperbolic measures of efficiency and productivity change with respect to a graph representation of production technology allow researchers to consider output and input dimensions simultaneously in measuring producer performance. Hyperbolic efficiency measures have been proposed, but empirical implementation has not followed, either in efficiency analysis or in productivity analysis. The objectives of this paper are to define hyperbolic performance measures on a graph representation of production technology, to motivate their use by stating some of their advantages over their radial counterparts, and to introduce a direct formulation to calculate them making use of Data Envelopment Analysis techniques. The ideas are illustrated by calculating hyperbolic efficiency and Malmquist productivity indexes for a US agricultural panel data set.

Suggested Citation

  • Jose Zofio & C. A. Knox Lovell, 2001. "Graph efficiency and productivity measures: an application to US agriculture," Applied Economics, Taylor & Francis Journals, vol. 33(11), pages 1433-1442.
    • Handle: RePEc:taf:applec:v:33:y:2001:i:11:p:1433-1442
    DOI: 10.1080/00036840010009865
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    References listed on IDEAS

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    1. Meeusen, Wim & van den Broeck, Julien, 1977. "Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(2), pages 435-444, June.
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    Citations

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    Cited by:

    1. Jose Zofio, 2007. "Malmquist productivity index decompositions: a unifying framework," Applied Economics, Taylor & Francis Journals, vol. 39(18), pages 2371-2387.
    2. Cuesta, Rafael A. & Zofío, Jose L., 2003. "Graph Efficiency and Parametric Distance Function with an Application to Spanish Savings Banks," Efficiency Series Papers 2003/01, University of Oviedo, Department of Economics, Oviedo Efficiency Group (OEG).
    3. Cuesta, Rafael A. & Lovell, C.A. Knox & Zofío, José L., 2009. "Environmental efficiency measurement with translog distance functions: A parametric approach," Ecological Economics, Elsevier, vol. 68(8-9), pages 2232-2242, June.
    4. Boussemart, Jean-Philippe & Briec, Walter & Peypoch, Nicolas & Tavéra, Christophe, 2009. "[alpha]-Returns to scale and multi-output production technologies," European Journal of Operational Research, Elsevier, vol. 197(1), pages 332-339, August.
    5. Reichmann, Gerhard & Sommersguter-Reichmann, Margit, 2006. "University library benchmarking: An international comparison using DEA," International Journal of Production Economics, Elsevier, vol. 100(1), pages 131-147, March.
    6. Briec, Walter & Kerstens, Kristiaan, 2009. "The Luenberger productivity indicator: An economic specification leading to infeasibilities," Economic Modelling, Elsevier, vol. 26(3), pages 597-600, May.
    7. Yang, Fuxia & Yang, Mian & Nie, Hualin, 2013. "Productivity trends of Chinese regions: A perspective from energy saving and environmental regulations," Applied Energy, Elsevier, vol. 110(C), pages 82-89.
    8. repec:eee:jomega:v:72:y:2017:i:c:p:1-14 is not listed on IDEAS
    9. repec:pal:jorsoc:v:56:y:2005:i:12:d:10.1057_palgrave.jors.2601942 is not listed on IDEAS
    10. Pablo Arocena & Ariadna García-Prado, 2007. "Accounting for quality in the measurement of hospital performance: evidence from Costa Rica," Health Economics, John Wiley & Sons, Ltd., vol. 16(7), pages 667-685.
    11. repec:pal:jorsoc:v:60:y:2009:i:11:d:10.1057_jors.2009.71 is not listed on IDEAS
    12. repec:spr:scient:v:94:y:2013:i:1:d:10.1007_s11192-012-0763-0 is not listed on IDEAS
    13. Antonio Peyrache, 2014. "Hicks-Moorsteen versus Malmquist: a connection by means of a radial productivity index," Journal of Productivity Analysis, Springer, vol. 41(3), pages 435-442, June.
    14. Ang, Frederic & Kerstens, Pieter Jan, 2017. "Decomposing the Luenberger–Hicks–Moorsteen Total Factor Productivity indicator: An application to U.S. agriculture," European Journal of Operational Research, Elsevier, vol. 260(1), pages 359-375.

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