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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.

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Bibliographic Info

Paper provided by Vancouver School of Economics in its series Economics working papers with number erwin_diewert-2013-40.

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Length: 11 pages
Date of creation: 18 Sep 2013
Date of revision: 18 Sep 2013
Handle: RePEc:ubc:bricol:erwin_diewert-2013-40

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Web page: http://www.economics.ubc.ca/

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Keywords: Productivity indexes; Free Disposal Hulls; technical efficiency; technical progress; returns to scale; nonparametric approaches to production theory;

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  1. 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.
  2. Cinzia Daraio & Leopold Simar, 2003. "Introducing Environmental Variables in Nonparametric Frontier Models: a Probabilistic Approach," LEM Papers Series 2003/17, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  3. Bjurek, Hans, 1996. " The Malmquist Total Factor Productivity Index," Scandinavian Journal of Economics, Wiley Blackwell, vol. 98(2), pages 303-13, June.
  4. 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.
  5. 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.
  6. Charles C.L. Kwong & Wai Chung (Harry) Lo, 2006. "Guest Editors' Introduction," Chinese Economy, M.E. Sharpe, Inc., vol. 39(4), pages 3-9, August.
  7. Shawna Grosskopf, 2003. "Some Remarks on Productivity and its Decompositions," Journal of Productivity Analysis, Springer, vol. 20(3), pages 459-474, November.
  8. 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.
  9. Tulkens, H. & Vanden Eeckaut, P., . "Non-parametric efficiency, progress and regress measures for panel data: Methodological aspects," CORE Discussion Papers RP -1132, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  10. Diewert, W E, 1980. "Capital and the Theory of Productivity Measurement," American Economic Review, American Economic Association, vol. 70(2), pages 260-67, May.
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Cited by:
  1. W. Erwin Diewert & Kevin J. Fox, 2014. "Decomposing Bjurek Productivity Indexes into Explanatory Factors," Discussion Papers 2014-33, School of Economics, The University of New South Wales.

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