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Superlative approximation of the Luenberger-Hicks-Moorsteen productivity indicator: Theory and application

Author

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  • Frederic Ang

    (Business Economics Group, Wageningen University)

  • Pieter Jan Kerstens

    (Department of Food and Resource Economics, University of Copenhagen)

Abstract

Consisting of the difference between an output indicator and an input indicator, the Luenberger-Hicks-Moorsteen (LHM) productivity indicator allows straightforward interpretation. However, it requires estimation of distance functions that are inherently unknown. This paper shows that a simple Bennet profit indicator is a superlative approximation of the LHM indicator when one can assume profit-maximizing behavior and the input and output directional distance functions can be represented up to the second order by a quadratic functional form. We also show that the Luenberger and LHM-approximating Bennet indicators coincide for an appropriate choice of the directional vectors. Focusing on a large sample of Italian food and beverages companies for the years 1995-2007, we empirically investigate the extent to which this theoretical equivalence translates into similar estimates.

Suggested Citation

  • Frederic Ang & Pieter Jan Kerstens, 2018. "Superlative approximation of the Luenberger-Hicks-Moorsteen productivity indicator: Theory and application," IFRO Working Paper 2018/10, University of Copenhagen, Department of Food and Resource Economics.
    • Handle: RePEc:foi:wpaper:2018_10
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    References listed on IDEAS

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    More about this item

    Keywords

    Productivity and competitiveness; Bennet; Luenberger-Hicks-Moorsteen; superlative approximation; Italian food and beverages sector;
    All these keywords.

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D22 - Microeconomics - - Production and Organizations - - - Firm Behavior: Empirical Analysis
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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