IDEAS home Printed from https://ideas.repec.org/p/icr/wpicer/29-2002.html
   My bibliography  Save this paper

On the circularity of the Malmquist productivity index

Author

Listed:
  • Finn R. FF8rsund

Abstract

Circularity is a desirable property of a productivity index seldom satisfied in available bilateral indices, such as the Malmquist index. Within a setting of micro units belonging to groups with group-specific frontier technology, the bilateral Malmquist productivity index is investigated. Our setting can be interpreted as representing cross section data, but also cross section, time series by identifying groups as time periods. A general proposition giving the condition for the Malmquist index to be circular is presented. When the condition is not met, ways of making the index transitive are explored. Four strategies adopted from the literature is followed; using one group as base, taking an average over possible bases, developing a multilateral index, and chain-linking. An expression of the Malmquist multilateral index is developed giving the difference between the Malmquist bilateral- and multilateral indexes.

Suggested Citation

  • Finn R. FF8rsund, 2002. "On the circularity of the Malmquist productivity index," ICER Working Papers 29-2002, ICER - International Centre for Economic Research.
    • Handle: RePEc:icr:wpicer:29-2002
    as

    Download full text from publisher

    File URL: http://www.bemservizi.unito.it/repec/icr/wp2002/forsund29-02.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. repec:bla:scandj:v:94:y:1992:i:0:p:s211-28 is not listed on IDEAS
    2. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "Multilateral Comparisons of Output, Input, and Productivity Using Superlative Index Numbers," Economic Journal, Royal Economic Society, vol. 92(365), pages 73-86, March.
    3. 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.
    4. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
    5. Chambers Robert G. & Fare Rolf, 1994. "Hicks' Neutrality and Trade Biased Growth: A Taxonomy," Journal of Economic Theory, Elsevier, vol. 64(2), pages 554-567, December.
    6. Berg, Sigbjorn Atle & Forsund, Finn R. & Hjalmarsson, Lennart & Suominen, Matti, 1993. "Banking efficiency in the Nordic countries," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 371-388, April.
    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. Dakpo, K Hervé & Desjeux, Yann & Jeanneaux, Philippe & Latruffe, Laure, 2016. "Productivity, efficiency and technological change in French agriculture during 2002-2014: A Färe-Primont index decomposition," 149th Seminar, October 27-28, 2016, Rennes, France 244793, European Association of Agricultural Economists.
    2. Alexandra Daskovska & Léopold Simar & Sébastien Bellegem, 2010. "Forecasting the Malmquist productivity index," Journal of Productivity Analysis, Springer, vol. 33(2), pages 97-107, April.
    3. Edvardsen, Dag Fjeld & Forsund, Finn R., 2003. "International benchmarking of electricity distribution utilities," Resource and Energy Economics, Elsevier, vol. 25(4), pages 353-371, October.
    4. Lota D. Tamini & Bruno Larue & Gale West, 2012. "Technical and environmental efficiencies and best management practices in agriculture," Applied Economics, Taylor & Francis Journals, vol. 44(13), pages 1659-1672, May.
    5. Aparicio, Juan & Crespo-Cebada, Eva & Pedraja-Chaparro, Francisco & Santín, Daniel, 2017. "Comparing school ownership performance using a pseudo-panel database: A Malmquist-type index approach," European Journal of Operational Research, Elsevier, vol. 256(2), pages 533-542.
    6. Yoonhwan Oh & Dong-hyun Oh & Jeong-Dong Lee, 2017. "A sequential global Malmquist productivity index: Productivity growth index for unbalanced panel data considering the progressive nature of technology," Empirical Economics, Springer, vol. 52(4), pages 1651-1674, June.
    7. Lota, Tamini D. & Bruno, Larue & West, Gale E., 2011. "Technical Efficiency, Environment Efficiency, Productivity and Beneficial Management Practices," Working Papers 102067, Structure and Performance of Agriculture and Agri-products Industry (SPAA).
    8. Dakpo, K Hervé & Desjeux, Yann & Jeanneaux, Philippe & Latruffe , Laure, 2017. "Productivity, technical efficiency and technological change in French agriculture during 2002-2014: A Färe-Primont index decomposition," Working Papers 263010, Institut National de la recherche Agronomique (INRA), Departement Sciences Sociales, Agriculture et Alimentation, Espace et Environnement (SAE2).
    9. Mohsen Afsharian & Heinz Ahn, 2017. "Multi-period productivity measurement under centralized management with an empirical illustration to German saving banks," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(3), pages 881-911, July.

    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. Fox, Kevin J. & Grafton, R. Quentin & Kirkley, James & Squires, Dale, 2003. "Property rights in a fishery: regulatory change and firm performance," Journal of Environmental Economics and Management, Elsevier, vol. 46(1), pages 156-177, July.
    2. Edvardsen, Dag Fjeld & Forsund, Finn R., 2003. "International benchmarking of electricity distribution utilities," Resource and Energy Economics, Elsevier, vol. 25(4), pages 353-371, October.
    3. Christopher J. O'Donnell, 2010. "Measuring and decomposing agricultural productivity and profitability change ," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 54(4), pages 527-560, October.
    4. M. Spitzer, 1997. "Interregional Comparison of Agricultural Productivity Growth, Technical Progress, and Efficiency Change in China's Agriculture: A Nonparametric Index Approach," Working Papers ir97089, International Institute for Applied Systems Analysis.
    5. Muneer Babu M., 2016. "Macroeconomic Determinants of Technological Change in Indian Microfinance Institutions," Global Business Review, International Management Institute, vol. 17(5), pages 1179-1195, October.
    6. Muneer Babu M. & Praveen Kulshreshtha, 2014. "Productivity Change and Technical Efficiency in Indian Microfinance Institutions," Studies in Microeconomics, , vol. 2(2), pages 165-200, December.
    7. Voigt, Peter, 2004. "Russlands Weg vom Plan zum Markt: Sektorale Trends und regionale Spezifika. Eine Analyse der Produktivitäts- und Effizienzentwicklungen in der Transformationsphase," Studies on the Agricultural and Food Sector in Transition Economies, Leibniz Institute of Agricultural Development in Transition Economies (IAMO), volume 28, number 93021.
    8. 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.
    9. Xiang Ao & Lilyan E. Fulginiti, 2005. "Productivity Growth in China: Evidence from Chinese Provinces," Development and Comp Systems 0502024, University Library of Munich, Germany.
    10. J. Peter Neary, 2004. "Rationalizing the Penn World Table: True Multilateral Indices for International Comparisons of Real Income," American Economic Review, American Economic Association, vol. 94(5), pages 1411-1428, December.
    11. Yung-Hsiang LU & Shun-Ching WANG & Chih-Hung YUAN, 2017. "Financial crisis and the relative productivity dynamics of the biotechnology industry: Evidence from the Asia-Pacific countries," Agricultural Economics, Czech Academy of Agricultural Sciences, vol. 63(2), pages 65-79.
    12. Hussain, Jakir & Bernard, Jean-Thomas, 2017. "Regional productivity convergence: An analysis of the pulp and paper industries in U.S., Canada, Finland, and Sweden," Journal of Forest Economics, Elsevier, vol. 28(C), pages 49-62.
    13. Chavas, Jean-Paul & Cox, Thomas L., 1999. "A Generalized Distance Function And The Analysis Of Production Efficiency," Staff Papers 12601, University of Wisconsin-Madison, Department of Agricultural and Applied Economics.
    14. Robert J. Hill & Alice O. Nakamura, 2010. "Improving Inflation And Related Performance Measures For Nations: An Introduction," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(s1), pages 1-10, June.
    15. Jean-Paul CHAVAS & Thomas L. COX, 1994. "A Primal-Dual Approach To Nonparametric Productivity Analysis: The Case Of U.S. Agriculture," Staff Papers 372, University of Wisconsin Madison, AAE.
    16. Mai, Nhat Chi, 2015. "Efficiency of the banking system in Vietnam under financial liberalization," OSF Preprints qsf6d, Center for Open Science.
    17. Patricia Augier & Michael Gasiorek & Gonzalo Varela, 2007. "Determinants of Productivity in Morocco - The Role of Trade?," CARIS Working Papers 02, Centre for the Analysis of Regional Integration at Sussex, University of Sussex.
    18. Yung-Hsiang Lu & Ku-Hsieh Chen & Jen-Chi Cheng & Chih-Chun Chen & Sian-Yuan Li, 2019. "Analysis of Environmental Productivity on Fossil Fuel Power Plants in the U.S," Sustainability, MDPI, vol. 11(24), pages 1-27, December.
    19. Valentin Zelenyuk, 2023. "Productivity analysis: roots, foundations, trends and perspectives," Journal of Productivity Analysis, Springer, vol. 60(3), pages 229-247, December.
    20. Valentin Zelenyuk, 2019. "Data Envelopment Analysis and Business Analytics: The Big Data Challenges and Some Solutions," CEPA Working Papers Series WP072019, School of Economics, University of Queensland, Australia.

    More about this item

    Keywords

    Circularity; transitivity; Malmquist productivity index; multilateral index; chain-linking;
    All these keywords.

    JEL classification:

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

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:icr:wpicer:29-2002. 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: Daniele Pennesi (email available below). General contact details of provider: https://edirc.repec.org/data/icerrit.html .

    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.