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Reference Technology Sets, Free Disposal Hulls and Productivity Decompositions

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  • Diewert, Erwin
  • Fox, Kevin

Abstract

Diewert and Fox (2013) proposed decompositions of a Malmquist-type productivity index into explanatory factors, with a focus on extracting technical progress, technical efficiency change and returns to scale components. A major problem with their decompositions is that it may be difficult to determine the appropriate reference technologies. Using relatively unrestrictive regularity conditions, the paper develops a data envelopment type approach for decomposing productivity growth for a panel of production units into explanatory factors based on the Free Disposal Hull methods pioneered by Tulkens and his co-authors.

Suggested Citation

  • Diewert, Erwin & Fox, Kevin, 2013. "Reference Technology Sets, Free Disposal Hulls and Productivity Decompositions," Economics working papers erwin_diewert-2013-40, Vancouver School of Economics, revised 18 Sep 2013.
  • Handle: RePEc:ubc:bricol:erwin_diewert-2013-40
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    References listed on IDEAS

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    1. Tulkens, Henry & Vanden Eeckaut, Philippe, 1995. "Non-frontier measures of efficiency, progress and regress for time series data," International Journal of Production Economics, Elsevier, vol. 39(1-2), pages 83-97, April.
    2. R. Russell & William Schworm, 2009. "Axiomatic foundations of efficiency measurement on data-generated technologies," Journal of Productivity Analysis, Springer, vol. 31(2), pages 77-86, April.
    3. 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.
    4. Charles C.L. Kwong & Wai Chung (Harry) Lo, 2006. "Guest Editors' Introduction," Chinese Economy, Taylor & Francis Journals, vol. 39(4), pages 3-9, August.
    5. Tulkens, Henry & Vanden Eeckaut, Philippe, 1995. "Non-parametric efficiency, progress and regress measures for panel data: Methodological aspects," European Journal of Operational Research, Elsevier, vol. 80(3), pages 474-499, February.
    6. Shawna Grosskopf, 2003. "Some Remarks on Productivity and its Decompositions," Journal of Productivity Analysis, Springer, vol. 20(3), pages 459-474, November.
    7. Cinzia Daraio & Léopold Simar, 2005. "Introducing Environmental Variables in Nonparametric Frontier Models: a Probabilistic Approach," Journal of Productivity Analysis, Springer, vol. 24(1), pages 93-121, September.
    8. Bjurek, Hans, 1996. " The Malmquist Total Factor Productivity Index," Scandinavian Journal of Economics, Wiley Blackwell, vol. 98(2), pages 303-313, June.
    9. Diewert, Erwin & Fox, Kevin, 2013. "Decomposing Malmquist Productivity Indexes into Explanatory Factors," Economics working papers erwin_diewert-2013-39, Vancouver School of Economics, revised 18 Sep 2013.
    10. Diewert, W E, 1980. "Capital and the Theory of Productivity Measurement," American Economic Review, American Economic Association, vol. 70(2), pages 260-267, May.
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    Citations

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    Cited by:

    1. Hideyuki Mizobuchi & Valentin Zelenyuk, 2020. "Quadratic-mean-of-order-r Indexes of Output, Input and Productivity," CEPA Working Papers Series WP032020, School of Economics, University of Queensland, Australia.
    2. W. Erwin Diewert & Kevin J. Fox, 2021. "The Difference Approach to Productivity Measurement and Exact Indicators," Springer Proceedings in Business and Economics, in: Christopher F. Parmeter & Robin C. Sickles (ed.), Advances in Efficiency and Productivity Analysis, pages 9-40, Springer.
    3. W. Erwin Diewert & Kevin J. Fox, 2017. "Decomposing Value Added Growth into Explanatory Factors," Discussion Papers 2017-02, School of Economics, The University of New South Wales.
    4. Diewert, W. Erwin & Fox, Kevin J., 2017. "Decomposing productivity indexes into explanatory factors," European Journal of Operational Research, Elsevier, vol. 256(1), pages 275-291.
    5. Hideyuki Mizobuchi & Valentin Zelenyuk, 2018. "Measuring Productivity by Quadratic-mean-of-order-of-r Indexes," CEPA Working Papers Series WP062018, School of Economics, University of Queensland, Australia.
    6. Diewert, Erwin & Fox, Kevin J., 2014. "Decomposing Bjurek Productivity Indexes into Explanatory Factors," Economics working papers erwin_diewert-2014-32, Vancouver School of Economics, revised 30 Jun 2014.
    7. Ang, Frederic & Kerstens, Pieter Jan, 2017. "Decomposing the Luenberger–Hicks–Moorsteen Total Factor Productivity indicator: An application to U.S. agriculture," European Journal of Operational Research, Elsevier, vol. 260(1), pages 359-375.
    8. Tomas Balezentis & Zhiyang Shen, 2017. "An environmental Luenberger-Hicks-Moorsteen. Total Factor Productivityindicator for OECD Countries," Working Papers 2017-EQM-02, IESEG School of Management.
    9. Ang, Frederic & Kerstens, Pieter Jan, 2017. "The Dynamic Luenberger-Hicks-Moorsteen Productivity Indicator With An Application To Dairy Farms In South West England," 2017 International Congress, August 28-September 1, 2017, Parma, Italy 260831, European Association of Agricultural Economists.
    10. Mocholi-Arce, Manuel & Sala-Garrido, Ramon & Molinos-Senante, Maria & Maziotis, Alexandros, 2021. "Water company productivity change: A disaggregated approach accounting for changes in inputs and outputs," Utilities Policy, Elsevier, vol. 70(C).
    11. W. Erwin Diewert & Kevin J. Fox, 2018. "A decomposition of US business sector TFP growth into technical progress and cost efficiency components," Journal of Productivity Analysis, Springer, vol. 50(1), pages 71-84, October.
    12. Meryem Duygun & Silvia Pazzi & Emili Tortosa-Ausina & Simona Zambelli, 2014. "Does local public ownership matter for the efficiency of water utilities? Evidence from Italy," Working Papers 2014/21, Economics Department, Universitat Jaume I, Castellón (Spain).

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    More about this item

    Keywords

    Productivity indexes; Free Disposal Hulls; technical efficiency; technical progress; returns to scale; nonparametric approaches to production theory;
    All these keywords.

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production

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