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The Luenberger Productivity Indicator: An Economic Specifcation Leading to Infeasibilities

  • Walter Briec

    ()

    (University of Perpignan)

  • Kristiaan Kerstens

    (CNRS-LEM (UMR 8179), IESEG School of Management)

This contribution points out a minor problem in the specifcation of technology when computing the Luenberger productivity indicator that has been hitherto ignored in the literature. The solution of this problem increases the likelihood that the directional distance functions underlying this productivity indicator are ill-defined.

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Paper provided by IESEG School of Management in its series Working Papers with number 2008-ECO-09.

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Length: 13 pages
Date of creation: Sep 2008
Date of revision:
Publication status: Published in Economic Modelling, May 2009, 26(3), pp. 597-600
Handle: RePEc:ies:wpaper:e200809
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  1. 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.
  2. 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.
  3. Robert G. Chambers & Rulon D. Pope, 1996. "Aggregate Productivity Measures," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 78(5), pages 1360-1365.
  4. S. Managi, 2003. "Luenberger and Malmquist productivity indices in Japan, 1955-1995," Applied Economics Letters, Taylor & Francis Journals, vol. 10(9), pages 581-584.
  5. SIMAR, Léopold & WILSON, Paul, 1996. "Estimating and bootstrapping malmquist indices," CORE Discussion Papers 1996060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Robert G. Chambers, 2002. "Exact nonradial input, output, and productivity measurement," Economic Theory, Springer, vol. 20(4), pages 751-765.
  7. Varian, Hal R, 1984. "The Nonparametric Approach to Production Analysis," Econometrica, Econometric Society, vol. 52(3), pages 579-97, May.
  8. 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.
  9. Jean-Philippe Boussemart & Walter Briec & Kristiaan Kerstens & Jean-Christophe Poutineau, 2003. "Luenberger and Malmquist Productivity Indices: Theoretical Comparisons and Empirical Illustration," Bulletin of Economic Research, Wiley Blackwell, vol. 55(4), pages 391-405, October.
  10. Mukherjee, Kankana & Ray, Subhash C. & Miller, Stephen M., 2001. "Productivity growth in large US commercial banks: The initial post-deregulation experience," Journal of Banking & Finance, Elsevier, vol. 25(5), pages 913-939, May.
  11. Nakano, Makiko & Managi, Shunsuke, 2008. "Regulatory reforms and productivity: An empirical analysis of the Japanese electricity industry," Energy Policy, Elsevier, vol. 36(1), pages 201-209, January.
  12. Guironnet, J.-P. & Peypoch, N., 2007. "Human capital allocation and overeducation: A measure of French productivity (1987, 1999)," Economic Modelling, Elsevier, vol. 24(3), pages 398-410, May.
  13. Jean-Paul Chavas & Kwansoo Kim, 2007. "Measurement and Sources of Economies of Scope: A Primal Approach," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 163(3), pages 411-427, September.
  14. Bogetoft, Peter & Wang, Dexiang, 2003. "Estimating the Potential Gains from Mergers," Unit of Economics Working papers 24213, Royal Veterinary and Agricultural University, Food and Resource Economic Institute.
  15. Fare, Rolf & Grosskopf, Shawna & Norris, Mary, 1997. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries: Reply," American Economic Review, American Economic Association, vol. 87(5), pages 1040-43, December.
  16. Tortosa-Ausina, Emili & Grifell-Tatje, Emili & Armero, Carmen & Conesa, David, 2008. "Sensitivity analysis of efficiency and Malmquist productivity indices: An application to Spanish savings banks," European Journal of Operational Research, Elsevier, vol. 184(3), pages 1062-1084, February.
  17. Per Andersen & Niels Christian Petersen, 1993. "A Procedure for Ranking Efficient Units in Data Envelopment Analysis," Management Science, INFORMS, vol. 39(10), pages 1261-1264, October.
  18. Carlos Pestana Barros & Nicolas Peypoch, 2007. "Comparing Productivity Change in Italian and Portuguese Seaports using the Luenberger Indicator Approach," Maritime Economics and Logistics, Palgrave Macmillan, vol. 9(2), pages 138-147, June.
  19. Rikard Althin, 2001. "Measurement of Productivity Changes: Two Malmquist Index Approaches," Journal of Productivity Analysis, Springer, vol. 16(2), pages 107-128, September.
  20. Charles R. Hulten, 2001. "Total Factor Productivity: A Short Biography," NBER Chapters, in: New Developments in Productivity Analysis, pages 1-54 National Bureau of Economic Research, Inc.
  21. 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.
  22. 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.
  23. Atkinson, Scott E & Cornwell, Christopher & Honerkamp, Olaf, 2003. "Measuring and Decomposing Productivity Change: Stochastic Distance Function Estimation versus Data Envelopment Analysis," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(2), pages 284-94, April.
  24. Chambers, Robert G. & Fare, Rolf & Grosskopf, Shawna, 1996. "Productivity Growth in APEC Countries," Working Papers 197843, University of Maryland, Department of Agricultural and Resource Economics.
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