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An Aggregation Paradigm for Hicks-Moorsteen Productivity Indexes

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Abstract

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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  • 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.
    • Handle: RePEc:qld:uqcepa:92
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    File URL: https://economics.uq.edu.au/files/5139/WP012014.pdf
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    1. Walheer, Barnabé, 2018. "Disaggregation of the cost Malmquist productivity index with joint and output-specific inputs," Omega, Elsevier, vol. 75(C), pages 1-12.
    2. Rolf Färe & Valentin Zelenyuk, 2021. "On aggregation of multi-factor productivity indexes," Journal of Productivity Analysis, Springer, vol. 55(2), pages 107-133, April.
    3. Valentin Zelenyuk, 2022. "Aggregation of Efficiency and Productivity: From Firm to Sector and Higher Levels," Springer Books, in: Subhash C. Ray & Robert G. Chambers & Subal C. Kumbhakar (ed.), Handbook of Production Economics, chapter 25, pages 1039-1079, Springer.
    4. Valentin Zelenyuk, 2018. "Some Mathematical and Historical Clarifications on Aggregation in Efficiency and Productivity Analysis and Connection to Economic Theory," CEPA Working Papers Series WP032018, School of Economics, University of Queensland, Australia.
    5. Bert M. Balk, 2016. "Various Approaches to the Aggregation of Economic Productivity Indices," Pacific Economic Review, Wiley Blackwell, vol. 21(4), pages 445-463, October.
    6. Andreas Mayer & Valentin Zelenyuk, 2018. "Aggregation of Individual Efficiency Measures and Productivity Indices," CEPA Working Papers Series WP012018, School of Economics, University of Queensland, Australia.
    7. Colamartino, Chiara & Dipierro, Anna Rita & Toma, Pierluigi & Frittelli, Massimo, 2023. "What lies behind the success of Italian GIs products? Questioning tradition in consortia via aggregated conditional efficiency," Socio-Economic Planning Sciences, Elsevier, vol. 87(PB).

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