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An Aggregation Paradigm for Hicks-Moorsteen Productivity Indexes

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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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File URL: http://www.uq.edu.au/economics/cepa/docs/WP/WP012014.pdf
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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. Zelenyuk, Valentin, 2006. "Aggregation of Malmquist productivity indexes," European Journal of Operational Research, Elsevier, Elsevier, vol. 174(2), pages 1076-1086, October.
  2. Christopher J. O'Donnell, 2012. "Nonparametric Estimates of the Components of Productivity and Profitability Change in U.S. Agriculture," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, Agricultural and Applied Economics Association, vol. 94(4), pages 873-890.
  3. Fare, Rolf & Zelenyuk, Valentin, 2003. "On aggregate Farrell efficiencies," European Journal of Operational Research, Elsevier, Elsevier, vol. 146(3), pages 615-620, May.
  4. SIMAR, Léopold & WILSON, Paul, 1996. "Estimating and bootstrapping malmquist indices," CORE Discussion Papers, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) 1996060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Daskovska, Alexandra & Simar, Léopold & Van Bellegem, Sébastien, 2009. "Forecasting the Malmquist Productivity Index," IDEI Working Papers, Institut d'Économie Industrielle (IDEI), Toulouse 634, Institut d'Économie Industrielle (IDEI), Toulouse.
  6. 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, Royal Economic Society, vol. 89(354), pages 294-315, June.
  7. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, Elsevier, vol. 2(6), pages 429-444, November.
  8. 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, American Economic Association, vol. 92(3), pages 527-548, June.
  9. Vladimir Nesterenko & Valentin Zelenyuk, 2007. "Measuring potential gains from reallocation of resources," Journal of Productivity Analysis, Springer, Springer, vol. 28(1), pages 107-116, October.
  10. Bjurek, Hans, 1996. " The Malmquist Total Factor Productivity Index," Scandinavian Journal of Economics, Wiley Blackwell, Wiley Blackwell, vol. 98(2), pages 303-13, June.
  11. Léopold Simar & Paul Wilson, 2011. "Inference by the m out of n bootstrap in nonparametric frontier models," Journal of Productivity Analysis, Springer, Springer, vol. 36(1), pages 33-53, August.
  12. Léopold Simar & Valentin Zelenyuk, 2007. "Statistical inference for aggregates of Farrell-type efficiencies," Journal of Applied Econometrics, John Wiley & Sons, Ltd., John Wiley & Sons, Ltd., vol. 22(7), pages 1367-1394.
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