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The Luenberger Productivity Indicator: An Economic Specifcation Leading to Infeasibilities

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  • Walter Briec

    ()
    (University of Perpignan)

  • Kristiaan Kerstens

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

Abstract

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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Bibliographic Info

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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Keywords: Luenberger productivity indicator; infeasibility;

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References

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  1. 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.
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  11. Simar, Leopold & Wilson, Paul W., 1999. "Estimating and bootstrapping Malmquist indices," European Journal of Operational Research, Elsevier, vol. 115(3), pages 459-471, June.
  12. 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.
  13. Varian, Hal R, 1984. "The Nonparametric Approach to Production Analysis," Econometrica, Econometric Society, vol. 52(3), pages 579-97, May.
  14. 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.
  15. 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.
  16. 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.
  17. S. Managi, 2003. "Luenberger and Malmquist productivity indices in Japan, 1955-1995," Applied Economics Letters, Taylor & Francis Journals, vol. 10(9), pages 581-584.
  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. 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.
  20. 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.
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Cited by:
  1. Epure, Mircea & Kerstens, Kristiaan & Prior, Diego, 2011. "Bank productivity and performance groups: A decomposition approach based upon the Luenberger productivity indicator," European Journal of Operational Research, Elsevier, vol. 211(3), pages 630-641, June.
  2. Barros, Carlos P. & Guironnet, Jean-Pascal & Peypoch, Nicolas, 2011. "Productivity growth and biased technical change in French higher education," Economic Modelling, Elsevier, vol. 28(1-2), pages 641-646, January.
  3. Färe, Rolf & Grosskopf, Shawna & Lundgren, Tommy & Marklund, Per-Olov & Zhou, Wenchao, 2012. "Productivity: Should We Include Bads?," CERE Working Papers 2012:13, CERE - the Center for Environmental and Resource Economics.
  4. Vouldis, Angelos T. & Michaelides, Panayotis G. & Tsionas, Efthymios G., 2010. "Estimating semi-parametric output distance functions with neural-based reduced form equations using LIML," Economic Modelling, Elsevier, vol. 27(3), pages 697-704, May.
  5. Antonio José Orozco Gallo, 2014. "Una aproximación regional a la eficiencia y productividad de los hospitales públicos colombianos," DOCUMENTOS DE TRABAJO SOBRE ECONOMÍA REGIONAL 011548, BANCO DE LA REPÚBLICA - ECONOMÍA REGIONAL.

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