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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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