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Aggregation of Malmquist productivity indexes allowing for reallocation of resources

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In this paper we consider aggregate (group) Malmquist productivity index measures which allow inputs to be reallocated within the group (when in output orientation). This merges the single period aggregation results allowing input reallocation of Nesterenko and Zelenyuk (2007) with the aggregate Malmquist productivity index results of Zelenyuk (2006) to determine aggregate Malmquist productivity indexes that are justified by economic theory, consistent with previous aggregation results, and which maintain analogous decompositions over time to the original measures. Such measures are of direct relevance to firms or countries who have merged (making input reallocation possible), allowing them to measure potential productivity gains and how these have been realised (or not) over time.

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File URL: http://www.uq.edu.au/economics/cepa/docs/WP/WP062013.pdf
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Paper provided by School of Economics, University of Queensland, Australia in its series CEPA Working Papers Series with number WP062013.

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Date of creation: Oct 2013
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Handle: RePEc:qld:uqcepa:89

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  1. 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.
  2. Zelenyuk, Valentin, 2005. "Aggregation of Malmquist Productivity Indexes," MPRA Paper 34689, University Library of Munich, Germany.
  3. Daskovska, Alexandra & Simar, Léopold & Van Bellegem, Sébastien, 2009. "Forecasting the Malmquist Productivity Index," TSE Working Papers 09-048, Toulouse School of Economics (TSE).
  4. Førsund, Finn R. & Hjalmarsson, Lennart, 1978. "Generalized Farrell Measures of Efficiency: An Application to Milk Processing in Swedish Dairy Plants," Working Paper Series 17, Research Institute of Industrial Economics.
  5. Fare, Rolf & Zelenyuk, Valentin, 2007. "Extending Fare and Zelenyuk (2003)," European Journal of Operational Research, Elsevier, vol. 179(2), pages 594-595, June.
  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. 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.
  9. 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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