The Difference Approach to Productivity Measurement and Exact Indicators

Walter Diewert and Kevin Fox

A chapter in Advances in Efficiency and Productivity Analysis, 2021, pp 9-40 from Springer

Abstract: Abstract There are many decompositions of productivity growth for a production unit that rely on the ratio approach to index number theory. 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 in the end, 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.

Keywords: Productivity measurement; Index numbers; Indicator functions; The Bennet indicator; Flexible functional forms for value added functions; Technical and allocative efficiency; Nonparametric methods for production theory; Measures of technical progress (search for similar items in EconPapers)
Date: 2021
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Working Paper: The Difference Approach to Productivity Measurement and Exact Indicators (2017)
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DOI: 10.1007/978-3-030-47106-4_2

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