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The Difference Approach to Productivity Measurement and Exact Indicators

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  • Diewert, W. Erwin
  • Fox, Kevin J.

Abstract

There are many decompositions of productivity growth for a production unit that rely on the ratio approach to index number theory. However, the business and accounting literatures tend to favour using differences rather than ratios. In this paper, three analogous decompositions for productivity growth in a difference approach to index number theory are obtained. The first approach uses the production unit’s value added function in order to obtain a suitable decomposition. It relies on various first order approximations to this function, but the decomposition can be given an axiomatic interpretation. The second approach uses the cost constrained value added function and assumes that the reference technology for the production unit can be approximated by the free disposal conical hull of past observations of inputs used and outputs produced by the unit. The final approach uses a particular flexible functional form for the producer’s value added function and provides an exact decomposition of normalized value added.

Suggested Citation

  • Diewert, W. Erwin & Fox, Kevin J., 2017. "The Difference Approach to Productivity Measurement and Exact Indicators," Microeconomics.ca working papers erwin_diewert-2017-10, Vancouver School of Economics, revised 24 Nov 2017.
  • Handle: RePEc:ubc:pmicro:erwin_diewert-2017-10
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    File URL: https://econ2017.sites.olt.ubc.ca/files/2017/11/pdf_paper_ewrin-diewert-17-08ExactIndicators.pdf
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    References listed on IDEAS

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    1. Diewert, W. Erwin & Fox, Kevin J., 2014. "Reference technology sets, Free Disposal Hulls and productivity decompositions," Economics Letters, Elsevier, vol. 122(2), pages 238-242.
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    Cited by:

    1. Diewert, Erwin, 2018. "Duality in Production," Microeconomics.ca working papers erwin_diewert-2018-2, Vancouver School of Economics, revised 06 Feb 2018.

    More about this item

    Keywords

    Productivity measurement; index numbers; indicator functions; the Bennet indicator;

    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
    • D33 - Microeconomics - - Distribution - - - Factor Income Distribution
    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • O47 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Empirical Studies of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence

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