IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v179y2019icp72-74.html
   My bibliography  Save this article

On Luenberger input, output and productivity indicators

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S016517651930103X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2019.03.024?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. repec:bla:scandj:v:85:y:1983:i:2:p:159-79 is not listed on IDEAS
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. 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.
    4. 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.
    5. Rolf Färe & Valentin Zelenyuk, 2021. "On aggregation of multi-factor productivity indexes," Journal of Productivity Analysis, Springer, vol. 55(2), pages 107-133, April.
    6. 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.
    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. Rolf Färe & Giannis Karagiannis, 2024. "The denominator rule with unit ratio difference," Journal of Productivity Analysis, Springer, vol. 61(2), pages 183-190, April.
    10. Valentin Zelenyuk, 2021. "Performance Analysis: Economic Foundations & Trends," CEPA Working Papers Series WP162021, School of Economics, University of Queensland, Australia.
    11. 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.
    12. Rolf Färe & Valentin Zelenyuk, 2020. "Profit Efficiency and its Estimation," CEPA Working Papers Series WP072020, School of Economics, University of Queensland, Australia.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jean‐Philippe Boussemart & Walter Briec & Kristiaan Kerstens & Jean‐Christophe Poutineau, 2003. "Luenberger and Malmquist Productivity Indices: Theoretical Comparisons and Empirical Illustration," Bulletin of Economic Research, Wiley Blackwell, vol. 55(4), pages 391-405, October.
    2. W. Briec & K. Kerstens, 2009. "Infeasibility and Directional Distance Functions with Application to the Determinateness of the Luenberger Productivity Indicator," Journal of Optimization Theory and Applications, Springer, vol. 141(1), pages 55-73, April.
    3. Angelo Zago, 2004. "Quality Production and Quality Indicators in Intermediate Products," Working Papers 16/2004, University of Verona, Department of Economics.
    4. Yang, Guo-liang & Fukuyama, Hirofumi & Song, Yao-yao, 2018. "Measuring the inefficiency of Chinese research universities based on a two-stage network DEA model," Journal of Informetrics, Elsevier, vol. 12(1), pages 10-30.
    5. Briec, Walter & Dumas, Audrey & Kerstens, Kristiaan & Stenger, Agathe, 2022. "Generalised commensurability properties of efficiency measures: Implications for productivity indicators," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1481-1492.
    6. Arnaud Abad & Rabaozafy Louisa Andriamasy & Walter Briec, 2018. "Surplus measures and luenberger Hicks–Moorsteen productivity indicator," Journal of Economics, Springer, vol. 125(3), pages 279-308, November.
    7. Briec, Walter & Mussard, Stéphane, 2020. "Improvement of technical efficiency of firm groups," European Journal of Operational Research, Elsevier, vol. 283(3), pages 991-1001.
    8. Arnaud Abad & Paola Ravelojaona, 2020. "A Generalization of Environmental Productivity Analysis," Working Papers hal-02964799, HAL.
    9. Hirofumi Fukuyama & William L. Weber, 2008. "Indicators and indexes of directional output loss and input allocative inefficiency," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 29(7), pages 565-574.
    10. A. Abad & P. Ravelojaona, 2022. "A generalization of environmental productivity analysis," Journal of Productivity Analysis, Springer, vol. 57(1), pages 61-78, February.
    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. A. Abad & P. Ravelojaona, 2017. "Exponential environmental productivity index and indicators," Journal of Productivity Analysis, Springer, vol. 48(2), pages 147-166, December.
    13. Tomas Balezentis & Zhiyang Shen, 2017. "An environmental Luenberger-Hicks-Moorsteen. Total Factor Productivityindicator for OECD Countries," Working Papers 2017-EQM-02, IESEG School of Management.
    14. H Fukuyama & W L Weber, 2009. "Estimating indirect allocative inefficiency and productivity change," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(11), pages 1594-1608, November.
    15. 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.
    16. Briec, Walter & Mussard, Stéphane, 2014. "Efficient firm groups: Allocative efficiency in cooperative games," European Journal of Operational Research, Elsevier, vol. 239(1), pages 286-296.
    17. Dubrocard, Anne & Prombo, Michel, 2012. "International comparison of Environmental performance," MPRA Paper 48072, University Library of Munich, Germany, revised 05 Jul 2013.
    18. S. Managi, 2003. "Luenberger and Malmquist productivity indices in Japan, 1955-1995," Applied Economics Letters, Taylor & Francis Journals, vol. 10(9), pages 581-584.
    19. Juan Du & Yongrui Duan & Jinghua Xu, 2019. "The infeasible problem of Malmquist–Luenberger index and its application on China’s environmental total factor productivity," Annals of Operations Research, Springer, vol. 278(1), pages 235-253, July.
    20. Shunsuke Managi & Shinji Kaneko, 2006. "Productivity of market and environmental abatement in China," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 7(4), pages 459-470, December.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecolet:v:179:y:2019:i:c:p:72-74. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.