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A sequential global Malmquist productivity index: Productivity growth index for unbalanced panel data considering the progressive nature of technology


  • Yoonhwan Oh

    (Seoul National University)

  • Dong-hyun Oh

    () (Inha University)

  • Jeong-Dong Lee

    (Seoul National University)


Abstract This study proposes an alternative Malmquist productivity index for measuring productivity growth that can be applied to an unbalanced panel data set by considering the progressive nature of technology. The proposed methodology overcomes the weakness of the conventional Malmquist productivity index, which bears spurious technical change and cannot be applied to unbalanced panel data. To develop the methodology, we integrated the concepts of the sequential production possibility set of Tulkens and Vanden Eeckaut (Eur J Oper Res 80:474–499, 1995) and of the global frontier of Asmild and Tam (J Prod Anal 27:137–148, 2007). The suggested index is applied to analyze unbalanced panel data on electric utilities of Korea and the USA between 2001 and 2010. Using the empirical investigation, we show how the suggested index overcomes the fictitious technical regress phenomenon and can be employed for unbalanced panel data.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:empeco:v:52:y:2017:i:4:d:10.1007_s00181-016-1104-6 DOI: 10.1007/s00181-016-1104-6

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    References listed on IDEAS

    1. Supawat Rungsuriyawiboon & Spiro Stefanou, 2008. "The dynamics of efficiency and productivity growth in U.S. electric utilities," Journal of Productivity Analysis, Springer, vol. 30(3), pages 177-190, December.
    2. Pastor, Jesus T. & Lovell, C.A. Knox, 2005. "A global Malmquist productivity index," Economics Letters, Elsevier, vol. 88(2), pages 266-271, August.
    3. Kwoka, John & Pollitt, Michael, 2010. "Do mergers improve efficiency? Evidence from restructuring the US electric power sector," International Journal of Industrial Organization, Elsevier, vol. 28(6), pages 645-656, November.
    4. Binswanger, Hans P, 1974. "A Microeconomic Approach to Induced Innovation," Economic Journal, Royal Economic Society, vol. 84(336), pages 940-958, December.
    5. Sufian, Fadzlan, 2011. "Banks total factor productivity change in a developing economy: Does ownership and origins matter?," Journal of Asian Economics, Elsevier, vol. 22(1), pages 84-98, February.
    6. Oh, Dong-hyun & Lee, Yong-Gil, 2016. "Productivity decomposition and economies of scale of Korean fossil-fuel power generation companies: 2001–2012," Energy, Elsevier, vol. 100(C), pages 1-9.
    7. Mathur, Somesh Kumar, 2007. "Indian IT industry: a performance analysis and a model for possible adoption," MPRA Paper 2368, University Library of Munich, Germany.
    8. Fare, Rolf & Grosskopf, Shawna & Yaisawarng, Suthathip & Li, Sung Ko & Wang, Zhaoping, 1990. "Productivity growth in Illinois electric utilities," Resources and Energy, Elsevier, vol. 12(4), pages 383-398, December.
    9. Hongliang Yang & Michael Pollitt, 2012. "Incorporating undesirable outputs into Malmquist TFP indices with an unbalanced data panel of Chinese power plants," Applied Economics Letters, Taylor & Francis Journals, vol. 19(3), pages 277-283, February.
    10. Chen Lin & Sanford Berg, 2008. "Incorporating Service Quality into Yardstick Regulation: An Application to the Peru Water Sector," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 32(1), pages 53-75, February.
    11. Los, Bart & Timmer, Marcel P., 2005. "The 'appropriate technology' explanation of productivity growth differentials: An empirical approach," Journal of Development Economics, Elsevier, vol. 77(2), pages 517-531, August.
    12. Victoria Shestalova, 2003. "Sequential Malmquist Indices of Productivity Growth: An Application to OECD Industrial Activities," Journal of Productivity Analysis, Springer, vol. 19(2), pages 211-226, April.
    13. Fare, Rolf & Grosskopf, Shawna & Noh, Dong-Woon & Weber, William, 2005. "Characteristics of a polluting technology: theory and practice," Journal of Econometrics, Elsevier, vol. 126(2), pages 469-492, June.
    14. Nakano, Makiko & Managi, Shunsuke, 2008. "Regulatory reforms and productivity: An empirical analysis of the Japanese electricity industry," Energy Policy, Elsevier, vol. 36(1), pages 201-209, January.
    15. Färe, Rolf & Grosskopf, Shawna & Pasurka, Carl A., 2007. "Environmental production functions and environmental directional distance functions," Energy, Elsevier, vol. 32(7), pages 1055-1066.
    16. Oh, Dong-hyun, 2010. "A metafrontier approach for measuring an environmentally sensitive productivity growth index," Energy Economics, Elsevier, vol. 32(1), pages 146-157, January.
    17. 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.
    18. Aghdam, Reza Fathollahzadeh, 2011. "Dynamics of productivity change in the Australian electricity industry: Assessing the impacts of electricity reform," Energy Policy, Elsevier, vol. 39(6), pages 3281-3295, June.
    19. Laurent CORTESE & Ping HUA, 2002. "The Effect of the Real Exchange Rate on Technological Progress. An Application to the Textile Industry in China," Working Papers 200207, CERDI.
    20. Mette Asmild & Fai Tam, 2007. "Estimating global frontier shifts and global Malmquist indices," Journal of Productivity Analysis, Springer, vol. 27(2), pages 137-148, April.
    21. Oh, Dong-hyun, 2015. "Productivity growth, technical change and economies of scale of Korean fossil-fuel generation companies, 2001–2012: A dual approach," Energy Economics, Elsevier, vol. 49(C), pages 113-121.
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    More about this item


    Malmquist productivity index; Technical progress; Efficiency change; Electric utility;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes
    • Q43 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - Energy and the Macroeconomy


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