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Aggregation of Malmquist Productivity Indexes

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  • Zelenyuk, Valentin

Abstract

In this paper we extend the work of Färe and Zelenyuk (2003) to find a theoretically justified method of aggregating Malmquist Productivity Indexes over individual decision making units (firms, countries, etc.) into a group Malmquist Productivity Index. We also consider the aggregation of decomposed parts of the Malmquist Productivity Index to obtain a decomposition of the Malmquist Productivity Index for a particular group.

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File URL: http://mpra.ub.uni-muenchen.de/34689/
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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 34689.

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Date of creation: May 2005
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Publication status: Published in European Journal of Operational Research 174.2(2006): pp. 1076-1086
Handle: RePEc:pra:mprapa:34689

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Keywords: DEA; Efficiency; Productivity; Index aggregation;

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References

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  1. Fare, Rolf & Zelenyuk, Valentin, 2003. "On aggregate Farrell efficiencies," European Journal of Operational Research, Elsevier, vol. 146(3), pages 615-620, May.
  2. Valentin Zelenyuk, 2012. "Aggregation of Scale Efficiency," CEPA Working Papers Series WP042012, School of Economics, University of Queensland, Australia.
  3. Timo Kuosmanen & Laurens Cherchye & Timo Sipiläinen, 2003. "The Law of One Price in Data Envelopment Analysis: Restricting Weight Flexibility Across Firms," Microeconomics 0312006, EconWPA, revised 18 Dec 2003.
  4. Oulton,Nicholas & O'Mahony,Mary, 1994. "Productivity and Growth," Cambridge Books, Cambridge University Press, number 9780521453455, April.
  5. Léopold Simar & Valentin Zelenyuk, 2007. "Statistical inference for aggregates of Farrell-type efficiencies," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(7), pages 1367-1394.
  6. Rolf Fare & Shawna Grosskopf & Valentin Zelenyuk, 2008. "Aggregation of Nerlovian profit indicator," Applied Economics Letters, Taylor & Francis Journals, vol. 15(11), pages 845-847.
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Citations

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Cited by:
  1. Vincent M. Otto & Timo Kuosmanen & Ekko C. van Ierland, 2006. "Estimating Feedback Effect in Technical Change: A Frontier Approach," Working Papers 2006.27, Fondazione Eni Enrico Mattei.
  2. Peyrache, Antonio, 2013. "Industry structural inefficiency and potential gains from mergers and break-ups: A comprehensive approach," European Journal of Operational Research, Elsevier, vol. 230(2), pages 422-430.
  3. Andreas Mayer & Valentin Zelenyuk, 2014. "An Aggregation Paradigm for Hicks-Moorsteen Productivity Indexes," CEPA Working Papers Series WP012014, School of Economics, University of Queensland, Australia.
  4. Valentin Zelenyuk, 2012. "Aggregation of Scale Efficiency," CEPA Working Papers Series WP042012, School of Economics, University of Queensland, Australia.
  5. Zelenyuk, Valentin, 2011. "Aggregation of economic growth rates and of its sources," European Journal of Operational Research, Elsevier, vol. 212(1), pages 190-198, July.
  6. Léopold Simar & Valentin Zelenyuk, 2007. "Statistical inference for aggregates of Farrell-type efficiencies," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(7), pages 1367-1394.
  7. Vladimir Nesterenko & Valentin Zelenyuk, 2007. "Measuring potential gains from reallocation of resources," Journal of Productivity Analysis, Springer, vol. 28(1), pages 107-116, October.
  8. Enrico Casadio Tarabusi & Giulio Guarini, 2013. "An Unbalance Adjustment Method for Development Indicators," Social Indicators Research, Springer, vol. 112(1), pages 19-45, May.
  9. 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.
  10. Chang, Shyr-Juh & Hsiao, Hsing-Chin & Huang, Li-Hua & Chang, Hsihui, 2011. "Taiwan quality indicator project and hospital productivity growth," Omega, Elsevier, vol. 39(1), pages 14-22, January.
  11. Antonio Peyrache, 2014. "Cost Constrained Industry Ine," CEPA Working Papers Series WP042014, School of Economics, University of Queensland, Australia.
  12. Valentin Zelenyuk & Andreas Mayer, 2013. "Aggregation of Malmquist productivity indexes allowing for reallocation of resources," CEPA Working Papers Series WP062013, School of Economics, University of Queensland, Australia.
  13. Fare, Rolf & Zelenyuk, Valentin, 2004. "Aggregation of Scale Elasticities Across Firms," MPRA Paper 28055, University Library of Munich, Germany, revised 11 Jan 2010.
  14. Thijs Raa, 2011. "Benchmarking and industry performance," Journal of Productivity Analysis, Springer, vol. 36(3), pages 285-292, December.
  15. Giannis Karagiannis & C. A. K. Lovell, 2013. "Productivity Measurement In Radial Dea Models With Multiple Constant Inputs," CEPA Working Papers Series WP082013, School of Economics, University of Queensland, Australia.
  16. Anatoly Pilyavsky & Matthias Staat, 2008. "Efficiency and productivity change in Ukrainian health care," Journal of Productivity Analysis, Springer, vol. 29(2), pages 143-154, April.

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