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A Generalized Distance Function and the Analysis of Production Efficiency

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Author Info
Jean-Paul Chavas
Thomas L. Cox

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Abstract

A generalization of Shephard’s distance functions is proposed, extending the usefulness of distance functions in economic analysis. Applications to efficiency measurements and productivity analysis are presented. New indexes of productivity and technical, allocative, and scale efficiency are proposed and analyzed. Interpretation of these indexes in terms of ray-average cost, ray-average revenue, and cost-to-revenue ratio is discussed.

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Publisher Info
Article provided by Southern Economic Association in its journal Southern Economic Journal.

Volume (Year): 66 (1999)
Issue (Month): 2 (October)
Pages: 294-318
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Handle: RePEc:sej:ancoec:v:66:2:y:1999:p:294-318

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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.:
  1. Forsund, Finn R. & Lovell, C. A. Knox & Schmidt, Peter, 1980. "A survey of frontier production functions and of their relationship to efficiency measurement," Journal of Econometrics, Elsevier, vol. 13(1), pages 5-25, May. [Downloadable!] (restricted)
  2. Banker, Rajiv D., 1984. "Estimating most productive scale size using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 17(1), pages 35-44, July. [Downloadable!] (restricted)
  3. Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481. [Downloadable!] (restricted)
  4. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "The Economic Theory of Index Numbers and the Measurement of Input, Output, and Productivity," Econometrica, Econometric Society, vol. 50(6), pages 1393-1414, November. [Downloadable!] (restricted)
  5. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August. [Downloadable!] (restricted)
  6. Lau, Lawrence J, 1972. "Profit Functions of Technologies with Multiple Inputs and Outputs," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 281-89, August. [Downloadable!] (restricted)
  7. Bauer, Paul W., 1990. "Recent developments in the econometric estimation of frontiers," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 39-56. [Downloadable!] (restricted)
  8. Fare, Rolf & Shawna Grosskopf & Mary Norris & Zhongyang Zhang, 1994. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries," American Economic Review, American Economic Association, vol. 84(1), pages 66-83, March. [Downloadable!] (restricted)
  9. Banker, Rajiv D & Maindiratta, Ajay, 1988. "Nonparametric Analysis of Technical and Allocative Efficiencies in Production," Econometrica, Econometric Society, vol. 56(6), pages 1315-32, November. [Downloadable!] (restricted)
  10. Seiford, Lawrence M. & Thrall, Robert M., 1990. "Recent developments in DEA : The mathematical programming approach to frontier analysis," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 7-38. [Downloadable!] (restricted)
  11. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May. [Downloadable!] (restricted)
  12. Ray, Subhash C & Desli, Evangelia, 1997. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries: Comment," American Economic Review, American Economic Association, vol. 87(5), pages 1033-39, December. [Downloadable!] (restricted)
  13. Robert Russell, R., 1985. "Measures of technical efficiency," Journal of Economic Theory, Elsevier, vol. 35(1), pages 109-126, February. [Downloadable!] (restricted)
  14. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "Multilateral Comparisons of Output, Input, and Productivity Using Superlative Index Numbers," Economic Journal, Royal Economic Society, vol. 92(365), pages 73-86, March. [Downloadable!] (restricted)
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Cited by:
(explanations, 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.)

  1. Dalton, Timothy J., 2004. "Indivisible And Spatial Components Of Dairy Firm Efficiency," 2004 Annual meeting, August 1-4, Denver, CO 20320, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association). [Downloadable!]
  2. 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. [Downloadable!]
  3. Subhash C. Ray, 2004. "The Directional Distance Function and Measurement of Super-Efficiency: An Application to Airlines Data," Working papers 2004-16, University of Connecticut, Department of Economics. [Downloadable!]
  4. Walter Briec & Kristiaan Kerstens, 2008. "Infeasibility and Directional Distance Functions with Application to the Determinateness of the Luenberger Productivity Indicator," Working Papers 2008-ECO-11, IESEG School of Management. [Downloadable!]
  5. José Zofío & Angel Prieto, 2006. "Return to Dollar, Generalized Distance Function and the Fisher Productivity Index," Spanish Economic Review, Springer, vol. 8(2), pages 113-138, June. [Downloadable!] (restricted)
    Other versions:
  6. Timo Kuosmanen & Timo Sipiläinen, 2009. "Exact decomposition of the Fisher ideal total factor productivity index," Journal of Productivity Analysis, Springer, vol. 31(3), pages 137-150, June. [Downloadable!] (restricted)
  7. Jiménez, Fernando & Zabala-Iturriagagoitia, Jon Mikel & Zofío, José Luis, 2007. "Efficiency in Public Research Centers: Evaluating the Spanish Food Technology Program," Working Papers in Economic Theory 2007/04, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History). [Downloadable!]
  8. Massuanganhe, Israel Jacob, 2008. "Policies, Natural Resource Governance and Local Development," Ph.D Degree Theses 53061, University of the Free State, Department of Agricultural Economics. [Downloadable!]
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