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On Luenberger input, output and productivity indicators

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  • Färe, Rolf
  • Zelenyuk, Valentin

Abstract

In this paper we consider justifications for the equally-weighted arithmetic averaging for the Luenberger indicators with respect to two different references, introduced in Chambers (2002).

Suggested Citation

  • Färe, Rolf & Zelenyuk, Valentin, 2019. "On Luenberger input, output and productivity indicators," Economics Letters, Elsevier, vol. 179(C), pages 72-74.
    • Handle: RePEc:eee:ecolet:v:179:y:2019:i:c:p:72-74
    DOI: 10.1016/j.econlet.2019.03.024
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    References listed on IDEAS

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    1. Diewert, W Erwin, 1983. " The Measurement of Waste within the Production Sector of an Open Economy," Scandinavian Journal of Economics, Wiley Blackwell, vol. 85(2), pages 159-179.
    2. Robert G. Chambers, 2002. "Exact nonradial input, output, and productivity measurement," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(4), pages 751-765.
    3. Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481.
    4. Diewert, W. Erwin & Fox, Kevin J., 2017. "Decomposing productivity indexes into explanatory factors," European Journal of Operational Research, Elsevier, vol. 256(1), pages 275-291.
    5. 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.
    6. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
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    Citations

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    Cited by:

    1. Färe, Rolf & Zelenyuk, Valentin, 2020. "Profit efficiency: Generalization, business accounting and the role of convexity," Economics Letters, Elsevier, vol. 196(C).
    2. Valentin Zelenyuk, 2023. "Productivity analysis: roots, foundations, trends and perspectives," Journal of Productivity Analysis, Springer, vol. 60(3), pages 229-247, December.
    3. Rolf Färe & Valentin Zelenyuk, 2021. "On aggregation of multi-factor productivity indexes," Journal of Productivity Analysis, Springer, vol. 55(2), pages 107-133, April.
    4. Valentin Zelenyuk, 2022. "Aggregation of Efficiency and Productivity: From Firm to Sector and Higher Levels," Springer Books, in: Subhash C. Ray & Robert G. Chambers & Subal C. Kumbhakar (ed.), Handbook of Production Economics, chapter 25, pages 1039-1079, Springer.
    5. Ali Homayoni & Reza Fallahnejad & Farhad Hosseinzadeh Lotfi, 2022. "Cross Malmquist Productivity Index in Data Envelopment Analysis," 4OR, Springer, vol. 20(4), pages 567-602, December.
    6. Rolf Färe & Valentin Zelenyuk, 2019. "On Paasche and Laspeyers Malmquist Indexes: A Comment on Diewert and Fox (2017)," CEPA Working Papers Series WP042019, School of Economics, University of Queensland, Australia.
    7. Rolf Färe & Valentin Zelenyuk, 2019. "On the Aggregation of the Paasche and Laspeyres Malmquist Indexes," CEPA Working Papers Series WP122019, School of Economics, University of Queensland, Australia.
    8. Ang, Frederic & Kerstens, Pieter Jan, 2020. "A superlative indicator for the Luenberger-Hicks-Moorsteen productivity indicator: Theory and application," European Journal of Operational Research, Elsevier, vol. 285(3), pages 1161-1173.
    9. Valentin Zelenyuk, 2021. "Performance Analysis: Economic Foundations & Trends," CEPA Working Papers Series WP162021, School of Economics, University of Queensland, Australia.
    10. Rolf Färe & Valentin Zelenyuk, 2020. "POn Fisher Aggregation of Multi-factor Productivity Indexes," CEPA Working Papers Series WP082020, School of Economics, University of Queensland, Australia.
    11. Rolf Färe & Valentin Zelenyuk, 2020. "Profit Efficiency and its Estimation," CEPA Working Papers Series WP072020, School of Economics, University of Queensland, Australia.

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    More about this item

    Keywords

    Luenberger productivity indicators;

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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