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Exact relations between Luenberger productivity indicators and Malmquist productivity indexes

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  • Bert Balk
  • Rolf Färe
  • Shawna Grosskopf
  • Dimitris Margaritis

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  • Bert Balk & Rolf Färe & Shawna Grosskopf & Dimitris Margaritis, 2008. "Exact relations between Luenberger productivity indicators and Malmquist productivity indexes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(1), pages 187-190, April.
    • Handle: RePEc:spr:joecth:v:35:y:2008:i:1:p:187-190
    DOI: 10.1007/s00199-007-0228-5
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    References listed on IDEAS

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    1. Bert Balk, 2003. "The Residual: On Monitoring and Benchmarking Firms, Industries, and Economies with Respect to Productivity," Journal of Productivity Analysis, Springer, vol. 20(1), pages 5-47, July.
    2. Chambers, Robert G. & Fare, Rolf & Grosskopf, Shawna, 1996. "Productivity Growth in APEC Countries," Working Papers 197843, University of Maryland, Department of Agricultural and Resource Economics.
    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.
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    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. 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).
    3. Hidemichi Fujii & Jing Cao & Shunsuke Managi, 2015. "Decomposition of Productivity Considering Multi-environmental Pollutants in Chinese Industrial Sector," Review of Development Economics, Wiley Blackwell, vol. 19(1), pages 75-84, February.
    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. Molinos-Senante, María & Maziotis, Alexandros & Sala-Garrido, Ramón, 2014. "The Luenberger productivity indicator in the water industry: An empirical analysis for England and Wales," Utilities Policy, Elsevier, vol. 30(C), pages 18-28.
    6. Lijuan Su & Yating Zheng & Fayyaz Ahmad & Ilhan Ozturk & Yatao Wang & Tian Tian & Abdul Rehman, 2023. "Environmental Regulations and Chinese Energy Sustainability: Mediating Role of Green Technology Innovations in Chinese Provinces," Sustainability, MDPI, vol. 15(11), pages 1-23, June.
    7. Haiyan Deng & Ge Bai & Kristiaan Kerstens & Zhiyang Shen, 2023. "Comparing green productivity under convex and nonconvex technologies: Which is a robust approach consistent with energy structure?," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 44(8), pages 4377-4394, December.
    8. 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).
    9. Feng, Guohua & Serletis, Apostolos, 2014. "Undesirable outputs and a primal Divisia productivity index based on the directional output distance function," Journal of Econometrics, Elsevier, vol. 183(1), pages 135-146.
    10. Henriques, C.O. & Gouveia, M.C., 2022. "Assessing the impact of COVID-19 on the efficiency of Portuguese state-owned enterprise hospitals," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).
    11. Henriques, Carla Oliveira & Lima, Alexandre & Nguyen, Duc Khuong & Neves, Maria Elisabete, 2024. "Assessing the vulnerability of oil-dependent countries in Europe," Energy Economics, Elsevier, vol. 133(C).
    12. Portela, Maria C.A.S. & Thanassoulis, Emmanuel, 2010. "Malmquist-type indices in the presence of negative data: An application to bank branches," Journal of Banking & Finance, Elsevier, vol. 34(7), pages 1472-1483, July.
    13. Koutsomanoli-Filippaki, Anastasia & Margaritis, Dimitris & Staikouras, Christos, 2009. "Efficiency and productivity growth in the banking industry of Central and Eastern Europe," Journal of Banking & Finance, Elsevier, vol. 33(3), pages 557-567, March.
    14. Yang, Fuxia & Yang, Mian & Nie, Hualin, 2013. "Productivity trends of Chinese regions: A perspective from energy saving and environmental regulations," Applied Energy, Elsevier, vol. 110(C), pages 82-89.
    15. 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.
    16. Zhou, Tao & Huang, Xuhui & Zhang, Ning, 2023. "The effect of innovation pilot on carbon total factor productivity: Quasi-experimental evidence from China," Energy Economics, Elsevier, vol. 125(C).
    17. Walter Briec & Kristiaan Kerstens & Nicolas Peypoch, 2012. "Exact Relations Between Four Definitions Of Productivity Indices And Indicators," Bulletin of Economic Research, Wiley Blackwell, vol. 64(2), pages 265-274, April.
    18. Hidemichi Fujii & Shunsuke Managi & Roman Matousek & Aarti Rughoo, 2018. "Bank efficiency, productivity, and convergence in EU countries: a weighted Russell directional distance model," The European Journal of Finance, Taylor & Francis Journals, vol. 24(2), pages 135-156, January.
    19. Gouveia, M.C. & Henriques, C.O. & Dias, L.C., 2023. "Eco-efficiency changes of the electricity and gas sectors across 28 European countries: A value-based data envelopment analysis productivity approach," Socio-Economic Planning Sciences, Elsevier, vol. 87(PB).
    20. Carlos Barros & Hercules Haralambides & Mohamed Hussain & Nicolas Perpoch, 2011. "Seaport Efficiency and Productivity Growth," Chapters, in: Kevin Cullinane (ed.), International Handbook of Maritime Economics, chapter 17, Edward Elgar Publishing.
    21. Zbranek, Peter & Fandel, Peter, 2015. "Development of productivity and its components in Slovak agriculture before and after EU accession: Analysis of the impact of CAP introduction on the performance indicators of Slovak crop and livestoc," 2015 Fourth Congress, June 11-12, 2015, Ancona, Italy 207353, Italian Association of Agricultural and Applied Economics (AIEAA).
    22. 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.
    23. Pestana Barros, Carlos & Peypoch, Nicolas, 2010. "Productivity changes in Portuguese bus companies," Transport Policy, Elsevier, vol. 17(5), pages 295-302, September.

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    More about this item

    Keywords

    Luenberger productivity indicator; Malmquist productivity index; Logarithmic mean; C43; D24;
    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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