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An Aggregation Paradigm for Hicks-Moorsteen Productivity Indexes

In this paper we consider the problem of aggregation of Hicks-Moorsteen productivity indexes. The aggregate indexes are derived in a manner which is justified by economic theory, consistent with previous aggregation results, and maintains analogous decompositions to the original measures. These aggregate Hicks-Moorsteen productivity indexes allow researchers to consider the change in group productivity over time, with and without allowing full reallocation of inputs and outputs. We illustrate these indexes with an application to the productivity of countries, demonstrating the difference between the group index and the frequently used simple average.

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Paper provided by School of Economics, University of Queensland, Australia in its series CEPA Working Papers Series with number WP012014.

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Date of creation: Jan 2014
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Handle: RePEc:qld:uqcepa:92
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  1. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
  2. 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.
  3. 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.
  4. Zelenyuk, Valentin, 2005. "Aggregation of Malmquist Productivity Indexes," MPRA Paper 34689, University Library of Munich, Germany.
  5. Charles Blackorby & R. Russell, 1999. "Aggregation of Efficiency Indices," Journal of Productivity Analysis, Springer, vol. 12(1), pages 5-20, August.
  6. Simar, Leopold & Wilson, Paul W., 1999. "Estimating and bootstrapping Malmquist indices," European Journal of Operational Research, Elsevier, vol. 115(3), pages 459-471, June.
  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. C.J. O'Donnell, 2010. "Nonparametric Estimates Of The Components Of Productivity And Profitability Change In U.S. Agriculture," CEPA Working Papers Series WP022010, School of Economics, University of Queensland, Australia.
  9. Daskovska, Alexandra & Simar, Léopold & Van Bellegem, Sébastien, 2009. "Forecasting the Malmquist Productivity Index," IDEI Working Papers 634, Institut d'Économie Industrielle (IDEI), Toulouse.
  10. Zelenyuk, Valentin, 2015. "Aggregation of scale efficiency," European Journal of Operational Research, Elsevier, vol. 240(1), pages 269-277.
  11. Subodh Kumar & R. Robert Russell, 2002. "Technological Change, Technological Catch-up, and Capital Deepening: Relative Contributions to Growth and Convergence," American Economic Review, American Economic Association, vol. 92(3), pages 527-548, June.
  12. Fare, Rolf & Zelenyuk, Valentin, 2003. "On aggregate Farrell efficiencies," European Journal of Operational Research, Elsevier, vol. 146(3), pages 615-620, May.
  13. Forsund, Finn R & Hjalmarsson, Lennart, 1979. "Generalised Farrell Measures of Efficiency: An Application to Milk Processing in Swedish Dairy Plants," Economic Journal, Royal Economic Society, vol. 89(354), pages 294-315, June.
  14. Bjurek, Hans, 1996. " The Malmquist Total Factor Productivity Index," Scandinavian Journal of Economics, Wiley Blackwell, vol. 98(2), pages 303-13, June.
  15. Léopold Simar & Paul Wilson, 2011. "Inference by the m out of n bootstrap in nonparametric frontier models," Journal of Productivity Analysis, Springer, vol. 36(1), pages 33-53, August.
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