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Exact Relations between Four De?nitions of Productivity Indices and Indicators

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  • Walter Briec

    ()
    (University of Perpignan, LAMPS)

  • Kristiaan Kerstens

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

  • Nicolas Peypoch

    (University of Perpignan, LAMPS)

Abstract

Generalizing earlier approximation results, we establish exact relations between the Luenberger productivity indicator and the Malmquist productivity index under rather mild assumptions. Furthermore, we show that similar exact relations can be established between the Luenberger-Hicks-Moorsteen indicator and the Hicks-Moorsteen index.

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Bibliographic Info

Paper provided by IESEG School of Management in its series Working Papers with number 2009-ECO-07.

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Length: 18 pages
Date of creation: Apr 2009
Date of revision:
Handle: RePEc:ies:wpaper:e200907

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Keywords: Malmquist and Hicks-Moorsteen productivity indices; Luenberger and Luenberger Hicks-Moorsteen productivity indicators; approximate relation; exact relation;

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References

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  1. Edward C. Jaenicke & Laura L. Lengnick, 1999. "A Soil-Quality Index and Its Relationship to Efficiency and Productivity Growth Measures: Two Decompositions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(4), pages 881-893.
  2. Bjurek, Hans, 1996. " The Malmquist Total Factor Productivity Index," Scandinavian Journal of Economics, Wiley Blackwell, vol. 98(2), pages 303-13, June.
  3. Robert G. Chambers, 2002. "Exact nonradial input, output, and productivity measurement," Economic Theory, Springer, vol. 20(4), pages 751-765.
  4. 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.
  5. Bert Balk & Rolf Färe & Shawna Grosskopf & Dimitris Margaritis, 2008. "Exact relations between Luenberger productivity indicators and Malmquist productivity indexes," Economic Theory, Springer, vol. 35(1), pages 187-190, April.
  6. Ball, V. Eldon & Lovell, C.A. Knox & Luu, H. & Nehring, Richard F., 2004. "Incorporating Environmental Impacts in the Measurement of Agricultural Productivity Growth," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 29(03), December.
  7. 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.
  8. 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.
  9. Fare, Rolf & Grosskopf, Shawna & Roos, Pontus, 1996. "On two definitions of productivity," Economics Letters, Elsevier, vol. 53(3), pages 269-274, December.
  10. Walter Briec & Kristiaan Kerstens, 2004. "A Luenberger-Hicks-Moorsteen productivity indicator: its relation to the Hicks-Moorsteen productivity index and the Luenberger productivity indicator," Economic Theory, Springer, vol. 23(4), pages 925-939, May.
  11. McFadden, Daniel, 1978. "Cost, Revenue, and Profit Functions," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.), Production Economics: A Dual Approach to Theory and Applications, volume 1, chapter 1 McMaster University Archive for the History of Economic Thought.
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Cited by:
  1. Gustavo Ferro & María Eugenia Labaronnie & Carlos A. Romero, 2011. "Medición de cambios en productividad con indicador de Luenberger en el sector de seguros en Argentina a la salida de la crisis," Working Papers hal-00597947, HAL.
  2. Picazo-Tadeo, Andrés J. & Castillo-Giménez, Juana & Beltrán-Esteve, Mercedes, 2014. "An intertemporal approach to measuring environmental performance with directional distance functions: Greenhouse gas emissions in the European Union," Ecological Economics, Elsevier, vol. 100(C), pages 173-182.
  3. Merino, Fernando, 2012. "Firms' internationalization and productivity growth," Research in Economics, Elsevier, vol. 66(4), pages 349-354.
  4. Gustavo Ferro & Carlos A. Romero, 2011. "Comparación de medidas de cambio de productividad. Las aproximaciones de Malmquist y Luenberger en una aplicación al mercado de seguros," Working Papers hal-00597946, HAL.

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