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

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Author Info
Walter Briec () (University of Perpignan, LAMPS)
Kristiaan Kerstens (CNRS-LEM (UMR 8179), IÉSEG School of Management)
Nicolas Peypoch (University of Perpignan, LAMPS)

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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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File URL: http://my.ieseg.fr/bienvenue/DownloadDoc.asp?Fich=1048811616_2009-ECO-07_Briec_KK_Peypoch.pdf
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Publisher 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
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Handle: RePEc:ies:wpaper:e200907

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

Find related papers by JEL classification:
C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
D24 - Microeconomics - - Production and Organizations - - - Production; Capital and Total Factor Productivity; Capacity

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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. Ball, V.E. & Lovell, C.A.K. & Luu, H. & Nehring, R., 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. [Downloadable!]
  2. 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. [Downloadable!]
  3. 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. [Downloadable!]
  4. Bjurek, Hans, 1996. " The Malmquist Total Factor Productivity Index," Scandinavian Journal of Economics, Blackwell Publishing, vol. 98(2), pages 303-13, June.
  5. 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, Blackwell Publishing, vol. 55(4), pages 391-405, October. [Downloadable!] (restricted)
  6. 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. [Downloadable!] (restricted)
  7. 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. [Downloadable!] (restricted)
  8. Fare, Rolf & Grosskopf, Shawna & Roos, Pontus, 1996. "On two definitions of productivity," Economics Letters, Elsevier, vol. 53(3), pages 269-274, December. [Downloadable!] (restricted)
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