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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.

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Bibliographic Info

Article provided by Taylor & Francis Journals in its journal Applied Economics.

Volume (Year): 33 (2001)
Issue (Month): 11 ()
Pages: 1433-1442

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Handle: RePEc:taf:applec:v:33:y:2001:i:11:p:1433-1442

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Cited by:
  1. 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.
  2. Zofío, José Luis, 2006. "Malmquist Productivity Index Decompositions: A Unifying Framework," Working Papers in Economic Theory 2006/12, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History).
  3. Cuesta, Rafael A. & Knox, C.A. & Zofío, José Luis, 2007. "Environmental Efficiency Measurement with Translog Distance Functions: A Parametric Approach," Working Papers in Economic Theory 2007/02, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History).
  4. 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.
  5. repec:ise:isegwp:wp222008 is not listed on IDEAS
  6. 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.
  7. Pablo Arocena & Ariadna Garc�a-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.
  8. 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.

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