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Exact Relations between Four De?nitions of Productivity Indices and Indicators

Author

Listed:
  • Walter Briec

    (University of Perpignan, LAMPS)

  • Kristiaan Kerstens

    (CNRS-LEM (UMR 8179), IESEG School of Management)

  • Nicolas Peypoch

    (University of Perpignan, LAMPS)

Abstract

Generalizing earlier approximation results, we establish exact relations between the Luenberger productivity indicator and the Malmquist productivity index under rather mild assumptions. Furthermore, we show that similar exact relations can be established between the Luenberger-Hicks-Moorsteen indicator and the Hicks-Moorsteen index.

Suggested Citation

  • Walter Briec & Kristiaan Kerstens & Nicolas Peypoch, 2009. "Exact Relations between Four De?nitions of Productivity Indices and Indicators," Working Papers 2009-ECO-07, IESEG School of Management.
    • Handle: RePEc:ies:wpaper:e200907
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    References listed on IDEAS

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    16. Walter Briec & Kristiaan Kerstens, 2004. "A Luenberger-Hicks-Moorsteen productivity indicator: its relation to the Hicks-Moorsteen productivity index and the Luenberger productivity indicator," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(4), pages 925-939, May.
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    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Pastor, Jesus T. & Zofio, Jose L., 2017. "Can Farrell's allocative efficiency be generalized by the directional distance function approach?Author-Name: Aparicio, Juan," European Journal of Operational Research, Elsevier, vol. 257(1), pages 345-351.
    2. Gustavo Ferro & María Eugenia Labaronnie & Carlos A. Romero, 2011. "Medición de cambios en productividad con indicador de Luenberger en el sector de seguros en Argentina a la salida de la crisis," Working Papers hal-00597947, HAL.
    3. Chen, Xiang & Chen, Yong & Huang, Wenli & Zhang, Xuping, 2023. "A new Malmquist-type green total factor productivity measure: An application to China," Energy Economics, Elsevier, vol. 117(C).
    4. Pastor, Jesus T. & Lovell, C.A. Knox & Aparicio, Juan, 2020. "Defining a new graph inefficiency measure for the proportional directional distance function and introducing a new Malmquist productivity index," European Journal of Operational Research, Elsevier, vol. 281(1), pages 222-230.
    5. Merino, Fernando, 2012. "Firms' internationalization and productivity growth," Research in Economics, Elsevier, vol. 66(4), pages 349-354.
    6. Mocholi-Arce, Manuel & Sala-Garrido, Ramon & Molinos-Senante, Maria & Maziotis, Alexandros, 2023. "Profit productivity change in the English and Welsh water sector: Impact of the price reviews," Utilities Policy, Elsevier, vol. 82(C).
    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. Picazo-Tadeo, Andrés J. & Castillo-Giménez, Juana & Beltrán-Esteve, Mercedes, 2014. "An intertemporal approach to measuring environmental performance with directional distance functions: Greenhouse gas emissions in the European Union," Ecological Economics, Elsevier, vol. 100(C), pages 173-182.
    9. Magdalena Kapelko & Alfons Oude Lansink & Spiro E Stefanou, 2015. "Effect of Food Regulation on the Spanish Food Processing Industry: A Dynamic Productivity Analysis," PLOS ONE, Public Library of Science, vol. 10(6), pages 1-16, June.
    10. Kubečková Darja & Smugala Stanislav, 2021. "Determination of construction process duration based on labor productivity estimation: A case study," Organization, Technology and Management in Construction, Sciendo, vol. 13(2), pages 2521-2538, July.
    11. 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).
    12. Walter Briec & Laurence Lasselle, 2022. "On some relations between a continuous time Luenberger productivity indicator and the Solow model," Bulletin of Economic Research, Wiley Blackwell, vol. 74(2), pages 484-502, April.
    13. Gustavo Ferro & Carlos A. Romero, 2011. "Comparación de medidas de cambio de productividad. Las aproximaciones de Malmquist y Luenberger en una aplicación al mercado de seguros," Working Papers hal-00597946, HAL.

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    More about this item

    Keywords

    Malmquist and Hicks-Moorsteen productivity indices; Luenberger and Luenberger Hicks-Moorsteen productivity indicators; approximate relation; exact relation;
    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

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